Help me please!!!
Line A has equation y = -4x + 1 and line B contains the points (-2,1) and (1,-11). Select any statement(s) below that are true.


Line B has a slope of -5.


Line A has a slope of -4.


Line A and line B have the same slope.


Line B has a flatter slope than line A.


Line A has a flatter slope than line B.

Answers

Answer 1

In response to the question, we may say that  Line A has a slope of -4, which is lower than that of line B.

what is slope?

The slope of a line determines how steep it is. A mathematical expression for the gradient is gradient overflow. The vertical change (run) between two spots is divided by the height change (rise) between the same two locations to get the slope. The equation of a straight line, written as y = mx + b, is represented by the curve form of an expression. The inclination is m, b is b, and the line's y-intercept is located at these points (0, b). As an example, consider the y-intercept and slope of the equation y = 3x - 7. (0, 7). The y-intercept is situated when the slope of the path is m, b is b, and (0, b).

With the two provided points, we must first establish whether of the following claims is true:

Slope of line B = (Y) / (X) = (-11 - 1) / (1 - (-2)) = -12 / 3 = -4

As a result, we can identify the following claims as being true:

The slope of line B is -5. (False)

The slope of line A is -4. (Really) The slope of lines A and B is the same. (False) Line B slopes more gently than line A. (False) Line A slopes more gently than line B. (True)

The following propositions are true:

Line A has a slope of -4, which is lower than that of line B.

To know more about slope visit:

https://brainly.com/question/3605446

#SPJ1


Related Questions

Classify the triangle using its angles and sides. (Choose 2)

Answers

Based on the angles, a triangle can be classified as either acute, right, or obtuse and based on the sides, a triangle can be classified as either equilateral, isosceles, or scalene.

To classify a triangle, we need to consider both its angles and sides. Based on the angles, a triangle can be classified as either acute, right, or obtuse.

An acute triangle has all three angles measuring less than 90 degrees. A right triangle has one angle measuring exactly 90 degrees. An obtuse triangle has one angle measuring greater than 90 degrees.

Based on the sides, a triangle can be classified as either equilateral, isosceles, or scalene.

An equilateral triangle has all three sides equal in length. An isosceles triangle has two sides of equal length. A scalene triangle has all three sides of different lengths.

Learn more about triangle here

brainly.com/question/30946036

#SPJ4

Work out the value of 5 cubed - 10 squared.

Give your answer as a power of 5

Answers

Answer:

5 cubed is 5 x 5 x 5 = 125.

10 squared is 10 x 10 = 100.

So, 5 cubed - 10 squared = 125 - 100 = 25.

We can also express 25 as a power of 5 by noting that 25 = 5 squared. Therefore:

5 cubed - 10 squared = 5 squared x 5 - 10 squared = 5^(2+1) - 10^(2) = 5^3 - 10^(2) = 125 - 100 = 25.

So, the answer is 5 squared or 5^2.

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

5 cubed - 10 squared

[tex]5^{3} - 10^{2} \\ = 125 - 100\\= 25[/tex]

Hope this helps!

Brainliest and a like is much appreciated!

The box-and-whisker plot below
represents some data set. What is the
range of the data?
50
Answer:
60
70
80
90

Answers

Answer: 32

Step-by-step explanation:

the min is 54 while the max is 86

86-54 is the range which is 32

What is the slope of the line that passes through the points (6, 10)(6,10) and (6, -2)(6,−2)?

Answers

The slope of the line that passes through the points (6,10) and (6,−2) is undefined.

The slope of a line is defined as the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line. In mathematical terms, the slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:

slope = (y₂ - y₁) / (x₂ - x₁)

Now, let's apply this formula to the given points (6, 10) and (6, -2). Here, x₁ = 6, y₁ = 10, x₂ = 6, and y₂ = -2. Substituting these values in the formula, we get:

slope = (-2 - 10) / (6 - 6)

Notice that the denominator is zero, which means that the line is a vertical line. In this case, the slope is undefined.

To know more about slope here

https://brainly.com/question/14511992

#SPJ4

What is the volume of the cylinder? Round to the nearest hundredth and approximate using π = 3. 14. Cylinder with a segment from one point on the circular base to another point on the base through the center labeled 3. 2 feet and a height labeled 3. 8 feet

Answers

the volume of the cylinder is approximately 30.19 cubic feet.

To find the volume of a cylinder, we use the formula:

V = πr²h

where V is the volume, r is the radius of the circular base, h is the height, and π is a constant that approximates the ratio of the circumference of a circle to its diameter, which is approximately 3.14.

In this case, we're given that the cylinder has a height of 3.8 feet, and a segment from one point on the circular base to another point on the base through the center labeled 3.2 feet. This segment is the diameter of the circular base, which means that the radius of the base is half of that, or 3.2/2 = 1.6 feet.

Plugging these values into the formula, we get:

V = πr²h

V = 3.14 x (1.6 feet)² x (3.8 feet)

V = 3.14 x 2.56 square feet x 3.8 feet

V = 30.1864 cubic feet

Rounding to the nearest hundredth, we get:

V ≈ 30.19 cubic feet

learn more about volume of a cylinder here:

https://brainly.com/question/6204273

#SPJ4

Simplify fully 9x + y - 6x + y

Answers

Answer:

Step-by-step explanation:

So first you would combine like terms which in this case are 9x, -6x, y, and y

So: 9x+y-6x+y

(9x-6x)+(y+y)

3x+2y is the final answer

hope this helped

Answer:

Step-by-step explanation:

Dumisani earn 42 480 per month. He splits his earnings in the ratio 7:5. And then saves the lesser amount. How much does he save

Answers

If Dumisani earn $42480 per month and he splits his earnings in the ratio 7:5, then he saves $17,700 per month.

A ratio is a way of comparing two quantities or values. It expresses the relationship between two numbers or values in terms of their relative sizes or amounts.

To split Dumisani's earnings in the ratio 7:5, we need to divide his earnings into 7 + 5 = 12 equal parts.

Each part is therefore:

42480 ÷ 12 = 3,540

Dumisani saves the lesser amount, which is in the ratio of 5 parts to 7 parts.

So he saves:

5 × 3,540 = $ 17,700

Learn more about ratio here

brainly.com/question/13419413

#SPJ4

Which inequality describes the graph?

Answers

Answer:

Step-by-step explanation:

I think y ≤ 3 - 3x

A factory is making screws. The weight of the crews is normally distributed, and the variance is 0.64g^2.
In a sample the mean of the screws was 44g. Calculate a two sided(symmetrical) confidence interval with confidence level 95% for the expected value of the weight, if the sample size was
a)13
b)1300

Answers

a) Sample size 13:(43.614, 44.386)

b) Sample size 1300:(43.9663, 44.0337)

The weight of the screws is normally distributed and has a variance of 0.64g^2. In a sample, the mean of the screws was 44g. The following are the two-sided (symmetrical) confidence intervals with a 95 percent confidence level for the expected value of the weight:Option a) Sample size 13:For a sample size of 13, the standard error of the mean is calculated as follows:SE = σ/√nwhere SE is the standard error, σ is the variance, and n is the sample size.In this case, SE = √(0.64)/√(13) = 0.1772.The t-distribution should be used to calculate the confidence interval since the population's standard deviation is unknown.The t-value corresponding to the 95% confidence interval with 12 degrees of freedom (df = n – 1) is 2.179. Therefore, the confidence interval can be calculated as follows:44 ± 2.179(0.1772)= 44 ± 0.386= (43.614, 44.386)The expected weight of the screws in the population is estimated to be between 43.614 g and 44.386 g.Option b) Sample size 1300:For a sample size of 1300, the standard error of the mean is calculated as follows:SE = σ/√nwhere SE is the standard error, σ is the variance, and n is the sample size.In this case, SE = √(0.64)/√(1300) = 0.0172.The z-distribution should be used to calculate the confidence interval since the sample size is large enough to assume that the sample mean is approximately normally distributed.The z-value corresponding to the 95% confidence interval is 1.96. Therefore, the confidence interval can be calculated as follows:44 ± 1.96(0.0172)= 44 ± 0.0337= (43.9663, 44.0337)The expected weight of the screws in the population is estimated to be between 43.9663 g and 44.0337 g.

Learn more about Sample size

brainly.com/question/25894237

#SPJ4

A population of 250 wild turkeys decreases by 2. 2% per year. At the end of 8 years, there will be approximately 209 turkeys in the population

Answers

Each year, the wild turkey population, which was once 250, drops by 2.2%. There will be around 209 turkeys left after 8 years.

Wild turkey populations are declining at a 2.2% annual pace. The initial population of 250 turkeys is anticipated to drop to around 209 turkeys after 8 years. Using the exponential decay formula, we can determine the rate of decline annually: P is the population at a certain moment, P0 is the starting population, r is the rate of reduction expressed as a decimal, and t is the time in years. P = P0 (1 - r)t. The answer to the r equation is r = (1 - (P/P0)(1/t)) = 0.022. As a result, the population is declining by 2.2% annually.

learn more about populations here:

https://brainly.com/question/30471333

#SPJ4

The sides of a triangle are 43,96 , and 89. Use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse.

Answers

Using Pythagorean theorem, the triangle is an acute triangle.

What is Pythagorean theorem?

The Pythagorean theorem is a fundamental result in Euclidean geometry that describes the relationship between the three sides of a right-angled triangle.

In equation form, this can be written as:

[tex]c^2 = a^2 + b^2[/tex]

where c is the length of the hypotenuse, and a and b are the lengths of the other two sides (also known as the legs) of the right-angled triangle.

If the triangle is not a right triangle, then the inequality [tex]c^2 < a^2 + b^2[/tex]holds for an acute triangle and [tex]c^2 > a^2 + b^2[/tex] holds for an obtuse triangle.

Using this formula, we can check if the given triangle is right, acute, or obtuse:

a = 43, b = 96, and c = 89

[tex]c^2 = 89^2 = 7921[/tex]

[tex]a^2 + b^2 = 43^2 + 96^2 = 1849 + 9216 = 11065[/tex]

Since [tex]c^2 < a^2 + b^2[/tex], we can see that:

[tex]c^2 < a^2 + b^2[/tex]

So the triangle is an acute triangle.

To know more about Pythagorean theorem visit:

brainly.com/question/343682

#SPJ1

The map shows the distance in air miles from city A to both city B and city C.
City A to City B= 11
City A to city C= 29
City B to City C= X

What is X?

F. 39 miles
G. 40
H. 41
J. 42

Answers

The value of distance between city B to city C given by 'x' is found as: 41 miles.

How to solve linear equation?A line's equation can be expressed in a way that makes the slope evident and enables you to trace the path directly without performing any calculations. Students can compose linear equations using slope-intercept form if they feel confident solving a straightforward two-step linear equation. A linear equation has the slope-intercept form y = mx + b.

Distance in air miles from city A to each city B and city C are-

City A to City B= 11

City A to city C= 29

City B to City C= X

Then,

Distance between city B to city C = distance between city A to city B +  between city A to city C

x = 29 + 11

Solving the linear equation:

x = 41

Thus, the value of distance between city B to city C given by 'x' is found as: 41 miles.

Know more about linear equation

https://brainly.com/question/28732353

#SPJ9

Please please help me with this!

Answers

Answer:

288π in³

Step-by-step explanation:

V-sphere = 4/3πr³

D = 12in   r = D/2 = 12/2 = 6 in

V = (4/3)(6)³π = (4/3)(216)π = 288π in³

Which graph shows the solution to the inequality? x − (5 − 3x) ≤ 2x − 1 A. A number line with a closed dot at 2 shaded to the left. B. A number line with a closed dot at 2 shaded to the right. C. A number line with a closed dot at negative 1 shaded to the left. D. A number line with a closed dot at negative 1 shaded to the right.

Answers

Answer: To solve the inequality x − (5 − 3x) ≤ 2x − 1, we need to simplify it by first distributing the negative sign in front of the parentheses, and then combining like terms. This gives us:

x - 5 + 3x ≤ 2x - 1

4x - 5 ≤ 2x - 1

Next, we can isolate the variable on one side of the inequality by subtracting 2x from both sides:

4x - 2x - 5 ≤ -1

2x - 5 ≤ -1

Finally, we can isolate x by adding 5 to both sides and dividing by 2:

2x ≤ 4

x ≤ 2

So the solution to the inequality is x ≤ 2.

To graph this solution on a number line, we can put a closed dot at 2 and shade to the left of it, since all values less than or equal to 2 satisfy the inequality. Therefore, the correct graph is A, a number line with a closed dot at 2 shaded to the left.

Step-by-step explanation:

(Please answer quickly!!!!) Given 7.05(−18.2), find the product.

−128.31
−12.83
77.55
578.10

Answers

Answer:

-128.31

First choice

Step-by-step explanation:

Using a calculator:

7.05(−18.2) = 7.05 x -18.2 = -128.31

Find the interest on 20,000 at 6% interest for 3 years

Answers

The interest on 20,000 at 6% interest for 3 years is 3,600


The interest can be calculated using the simple interest formula:

I = Prt

Where:
I = Interest
P = Principal (the initial amount)
r = rate of interest per year
t = time period in years

Plugging in the given values:

P = 20,000
r = 6% = 0.06 (in decimal)
t = 3

I = 20,0000.063
I = 3,600

Therefore, the interest on 20,000 at 6% interest for 3 years is 3,600.

WHOEVER DOES MOST ASAP GETS AN EXTRA 50 POINTS

Answers

The figures converted from fraction to decimal to percent (Questions 9-14) are given as follows:

       Percent                             Decimal                              Fraction

9)      316.2%.                            3.162                                   3 4861/30000

10)    6.94%.                              0.0694                                347/5000.
11)     15.27%.                             0.1527                                 1527/10000

12)    217 2761/3367%              2.178                                    1089/500

13)    723 12/21%                       7.236                                  1809/250
14)    87%                                  0.87                                     87/100

What are the calculations converting the figures form one form to another?

9) Given the compound fraction:   3 4861/30000

To convert 3 4861/30000 to a decimal, we first need to convert the mixed number to an improper fraction:

3 4861/30000 = (30000*3 + 4861)/30000

= 94861/30000

To convert this fraction to a decimal, we divide the numerator by the denominator:

94861/30000 ≈ 3.162

To convert 3 4861/30000 to a percentage, we multiply the decimal by 100:

3.162 x 100 ≈ 316.2%

So, 3 4861/30000 as a percentage is approximately 316.2%



10)  Given the decimal 0.0694
To convert 0.0694 to a fraction, we can write it as the numerator over a power of 10, where the power of 10 has the same number of digits as the number of decimal places in the original number:

0.0694 = 694/10000

We can simplify this fraction by dividing both the numerator and the denominator by their greatest common factor, which is 2:

694/10000 = (3472)/(50002) = 347/5000

So, 0.0694 as a fraction is 347/5000.


To convert 0.0694 to a percentage, we multiply the decimal by 100:

0.0694 x 100 = 6.94%

So, 0.0694 as a percentage is 6.94%.


11) Given the decimal - 0.1527

To convert 0.1527 to a percentage, we multiply the decimal by 100:

0.1527 x 100 = 15.27%

So, 0.1527 as a percentage is 15.27%.

To convert 0.1527 to a fraction, we can write it as the numerator over a power of 10, where the power of 10 has the same number of digits as the number of decimal places in the original number:

0.1527 = 1527/10000

12) Given the compound percentage - 217 2761/3367%

To convert 217 2761/3367% to a decimal, we first need to convert the mixed number to an improper fraction:

217 2761/3367% = (3367*217 + 2761)/3367% = 733400/3367%

743032/3367% = 217.82001782%
217.82001782% = 2.1782001782
220.680724681% [tex]\approx[/tex] 2.178

Thus, in fraction:

2.178 = 2.178/1

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 10³ = 1000

= 2.178/1 x 1000/1000

= 2178/1000

= 1089/500


13) Given the compound fraction - 723 12/21%


To convert 723 12/21% to a decimal, we first need to convert the mixed number to an improper fraction:

723 12/21% = (21*723 + 12)/21% = (15195/21)%

(15315/21)% = 7.23571428571
15315/21%  [tex]\approx[/tex] 7.236


Converting 7.236 to fraction:

7.236 = 7.236/1


Multiply to remove 3 decimal places. Here, you multiply top and bottom by 10³ = 1000


= 7.236/1 x 1000/1000

= 7236/1000: Divide numerator and denominator by 4

= (7236÷ 4)/(1000÷4)

= 1809/250


14) Given 0.87:

To convert 0.87 to a percentage, we multiply the decimal by 100:

0.87 x 100 = 87%

So, 0.87 as a percentage is 87%.

To convert 0.87 to a fraction, we can write it as the numerator over a power of 10, where the power of 10 has the same number of digits as the number of decimal places in the original number:

0.87 = 87/100

Learn more about Fractions:
https://brainly.com/question/28699958
#SPJ1

3. 8, 15, 100, 123.
4. line the numbers up to multiply them from the y side or x side
5. adding the word problem to find the solution

35 POINTS HELP

Answers

There are four numbers: 8, 15, 100 and 123.

What is number?

Number is a mathematical object used to count, measure, and label. It is used in many different contexts, from everyday life to scientific research. Numbers can be represented in various forms, such as symbols, digits, and words. They are used to represent quantities, distances, time, and other concepts. Numbers can also be used to represent relationships, such as equations, which are statements that describe how two or more things are related.

To solve this problem, it is best to line the numbers up on the y axis or x axis. To multiply the numbers, start by multiplying the numbers on the y axis first. So, 8 x 15 = 120. Then, multiply the result by the number on the x axis which is 100. 120 x 100 = 12,000. Finally, multiply 12,000 by the last number on the x axis which is 123. 12,000 x 123 = 1,476,000. Therefore, the answer to the problem is 1,476,000.

To know more about number click-
https://brainly.com/question/24644930
#SPJ1

which division equation describes the situation

Answers

The division equation that describes the situation here is as follows:

4 ÷ 2/3 = 6.

Define division?

Together with addition, subtraction, and multiplication, division is one of the four basic mathematical operations. The act of separating anything into smaller groups so that each one has the same number of items is known as division.

This operation is used by mathematicians to organise and evenly distribute resources.

As we can see in the question, that there are 6 groups.

Now 6 groups of 2/3 parts.

Now the whole part has been given as = 4.

This can also be stated as:

The whole part (4) has been divided into 2/3 small parts to get 6 equal parts.

Therefore, the expression as per division can be:

4 ÷ 2/3 = 6.

To know more about division, visit:

https://brainly.com/question/21416852

#SPJ1

answer the question picture is there

Answers

Answer:

Step-by-step explanation:

1. 500

2. 10

3. 25000

Angle Relationships & PT Quiz Review Are the angles are complementary, supplementary, or neither?
1. m<1=91°, m <2 = 89°
2: m< 3 = 17°, m<4 = 73°
3. m< 5 = 124° m <6 = 66°
4. m <7 = 33° m< 8 = 148°
5. m< 9 = 52° m <10 = 38°

pleasee help fast​

Answers

Dhytdbhn. Compo no go do nb orb not

whats the missing side lengths!

Answers

5??????????????????????

Answer:

x = y = 4.24

Step-by-step explanation:

sin45 = x/6

x = 6(sin45) = 4.24

y = 6(cos45) = 4.24

Because this is a 45-45-90 isosceles triangle, x=y

5 Exam-style Samia invests £3000 in an account for one year.
At the end of the year interest is added to her account.
Samia pays tax on the interest at a rate of 20%.
She pays £7.80 tax.
Work out the percentage interest rate for the account.

Answers

The percentage interest rate added to the account at the end of the year is 1.3%

What percentage interest rate for the account?

Tax is the compulsory levy paid by citizens to the government for buying goods and services.

Amount Samia invest = £3,000

Amount of interest = x

Rate of tax = 20%

Amount of tax = £7.80

So,

20% of x = £7.80

0.2x = £7.80

x = £7.80/0.2

x = £39

Percentage of interest rate:

x% of £3000 = £39

x% × 3000 = 39

x% = 39/3000

x% = 0.013

x% = 1.3%

Hence, 1.3% is the percentage of Samia investment added to the account.

Read more on percentage:

https://brainly.com/question/843074

#SPJ1

A tractor dealer puts a markup of ​21% on cost on a part for which it paid ​$420. Find ​(a) the selling price as a percent of​ cost, ​(b) the selling​ price, and ​(c) the markup

Answers

the selling price as a percent of cost is 120.52%, b- the selling price is $508.20 and the markup is 20.95% of cost.

(a) To find the selling price as a percent of cost, we need to first find the selling price and then divide it by the cost and multiply by 100%.

The markup on cost is 21%, which means the dealer sells the part for:

420 + 0.21*420 = $508.20

So the selling price is $508.20 and the cost is $420.

The selling price as a percent of cost is:

508.20/420 * 100% = 120.52%

So the selling price is 120.52% of the cost.

(b) The selling price is $508.20.

(c) The markup is the difference between the selling price and the cost, expressed as a percentage of the cost:

Markup = (Selling price - Cost)/Cost * 100%

= (508.20 - 420)/420 * 100%

= 20.95%

So the markup is 20.95% of the cost.

learn more about markup here:

https://brainly.com/question/11999225

#SPJ4

Part A

SAVINGS A company has a bonus incentive for its employees. The company pays employees an initial signing bonus of $1000 and invests that amount for the employees. Suppose the investment earns 8% interest compounded quarterly.

a. If an employee receiving this incentive withdraws the balance of the account after 5 years, how much will be in the account? Round to the nearest cent.


Part B

b. If an employee receiving this incentive withdraws the balance of the account after 35 years, how much will be in the account? Round to the nearest cent.

Answers

After answering the given query, we can state that So, after 35 years, the amount account would have a value of $10,062.07.

What is amount ?

aggregate attempting to determine the amount, total number, or duration needed. The amount in front of you or being thought about is very active. the final outcome, its significance, or its meaning. three accountings: principal, interest, and the third. Word versions include amounts, amounting, and amounted. supple word How much something is, how much you have, how much you need, or how much you get is its amount. He needs that much cash to get by.

a. We must first determine the quarterly interest rate in order to determine the account amount after five years:

r = 8% / 4 ≈ 2% every three months.

The amount after five years can then be determined using the compound interest formula:

[tex]A = P(1 + r/n)^{(nt)[/tex]

where P = $1,000 as the original investment

2% is the quarterly interest rate (r).

N = 4 times per year that interest is added (quarterly)

If t = amount of years, then 5

[tex]A = \$1000(1 + 0.02/4)^{(4*5)} = $1,221.50[/tex]

So, after five years, the account would have a total of $1,221.50.

b. We employ the same method as before to determine the account balance after 35 years:

[tex]A = \$1000(1 + 0.02/4)^{(4*35)} = $10,062.07[/tex]

So, after 35 years, the account would have a value of $10,062.07.

To know more about amount visit :-

brainly.com/question/8082054

#SPJ1

A house painter charges a fee for supplies and an hourly fee for the time spent painting. A paint job
that takes 3 h costs $140. A paint job that takes 5 h costs $200.

Answers

Answer:

y=30x+50

Step-by-step explanation:

3x30+50=140


5x30+50=200

The Gross Domestic Product (GPD) of a country in the first quarter of 2014 was $1.1395x10^7. Rewrite the GDP in standard notation.

Answers

113,950,000,000 ([tex]1.1395x10^7[/tex] is scientific notation, so you need to move the decimal to the left 7 places and add the relevant commas to get 113,950,000,000 in standard notation).

What is notation?

Notation is a method of representing information, usually in a concise and organized way. It can be used to represent mathematical equations, algorithms, music, dance, and other concepts. Notation is often used as a shorthand for communicating ideas to others, as it allows for a more precise and efficient way of conveying information. Notation also allows for the precise and consistent representation of a concept, allowing for greater accuracy and understanding.

To learn more about notation
https://brainly.com/question/27862246
#SPJ1

?
In a company's first year in operation, it made an annual profit of
$247, 500. The profit of the company increased at a constant 16% per
year each year. How much total profit would the company make over
the course of its first 10 years of operation, to the nearest whole
number?
Sum of Geometric series

Answers

Answer:

Total profit after 10 years = [tex]\$5,277,064[/tex]

Step-by-step explanation:

Let [tex]a_n[/tex]  represent the profit in the nth year

Then [tex]a_{n+1}[/tex]  represents the profit in year  [tex]n+[/tex]1

[tex]\text{Common ratio } r = \dfrac{a_{n+1}}{a_n}[/tex]

The sum of a geometric sequence is given by
[tex]S_n = a_1 \cdot \dfrac{1 - r^n}{1-r}[/tex]

where
[tex]a_1 =[/tex] first term
[tex]r =[/tex] common ratio
[tex]n =[/tex] number of terms

Calculation of r

To calculate r we see that the profit increases by 16% every year

16% = 16/100 = 0.16

If profit increases by 0.16, then next year's profit
= this year's profit(1 + 0.16)

= this year's profit x 1.16

r = 1.16 the ratio of a term to the previous term

In this problem we are given the first term as
[tex]a_1 = 247,500[/tex] [tex]\text{ = profit in first year}[/tex]
[tex]n = 10 =[/tex] number of years

[tex]r = 1.16[/tex]

Plugging these values into equation [1] for the sum we get
[tex]\begin{aligned}S_n &= a_1 \cdot \dfrac{1 - r^n}{1-r}\\\\&= 247500 \cdot \dfrac{1-1.16^{10}}{1-1.16}\\\\& = 247500 \cdot \dfrac{-3.41143}{-0.16}\\& = 247500 \cdot 21.3215\\& = 5277064\end{aligned}[/tex]

Therefore the total profit after 10 years
= $5,277,064


Which of the following is true of the location of an angle, Theta, whose tangent value is Negative StartFraction StartRoot 3 EndRoot Over 3 EndFraction?
Theta has a 30-degree reference angle and is located in Quadrant II or IV
Theta has a 30-degree reference angle and is located in Quadrant II or III
Theta has a 60-degree reference angle and is located in Quadrant II or IV
Theta has a 60-degree reference angle and is located in Quadrant II or III

Answers

Answer:

A

Step-by-step explanation:

we know that

tan x=sin x/cos x

if  

then

x belongs to the II quadrant or IV quadrant

sin 30°=

cos 30°=

therefore

tan 30°=

the angle theta has a 30-degree reference angle and is located in Quadrant II or IV

Answer:

A

Step-by-step explanation:

The graph of y = x² - 2x + 3 is shown.
Use the graph to solve the equations
y = x + 3
y = x² - 2x + 3
or
x = 0
X =
3
y =
y =
-B
-1
18
16-
14
12
10
8
6-
2
O
3
4
6

( this is for simultaneous equations with a quadratic)

Answers

The system of equations y = x + 3 and y = x² - 2x + 3 when solved for x and y is x = 0 and y = 3 & x = 3 and y = 6

Solving the system of equations

From the question, we have the following parameters that can be used in our computation:

y = x² - 2x + 3

Using the graph to solve the equations

y = x + 3

y = x² - 2x + 3

We simply write out the point of intersection of y = x + 3 and y = x² - 2x + 3

When y = x + 3 is plotted, we have the intersection to be

(0, 3) and (3, 6)

Hence, the solutions are (0, 3) and (3, 6)

Read more about system of equations at

https://brainly.com/question/13729904

#SPJ1

Other Questions
List five types of chemical reactions Write short notes and give a representative balanced chemical equation in each of the type of chemical reaction mentioned in the above statemenyName two types of salts. List four methods of preparing salts and give a representative balanced chemical equation in each case. Graph y=100(1+0.06)x 2.Page 2What is the theme of this passage?AFrom little things, big things grow.BLife changes ever so slowly over time.A wise and useful man is like a mighty oak.O Improve yourself slowly over time, and you will flourish.Go On Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from rectangular sheets of cardboard fromwhich she cuts out 4 in squares from each corner. The length of the original piece of cardboard is 8 in more than the width. If the volume ofthe box is 420 in", determine the dimensions of the original piece of cardboard.The dimensions of the original piece of cardboard are __ in by _ in.2023 McGraw Hill. All Rights Reserved. Privacy Center Terms of Use Minimum Requirements Platform Status CenterDone and Rev what role traditional authorities play in promoting democracy assume you have two objects of the same mass m and radius r. one object is a thin hoop, and the other object is a solid cylinder. which object has a larger moment of inertia i? Henry has 3 bunches of flowers. If there are 5 flowers in each bunch, which of the following shows how to find the total number of flowers he has?A) 3 divided by 5B) 3 times 5 C) 3 plus 5 You choose 9 CDs from your collection and place them in a rack. What is the probability that the CDs in rack ends up in alphabetical order? Give the answer as a fraction with factorial notation. The probability that the CDs are in alphabetical order = A continuacin se muestra una recta numrica. 11*11 31 2 0 Z Cul es la distancia, en unidades, de 0 al punto P en la recta numrica? Definition of media and support with relevant examples The period after Charlamagne's death was referred to as.. Write an article for publication in the daily guide suggesting at least three way of improving SANITATION in your school Which expression is equivalent to the expression 10a - 14c The policies used by Peter the great in Russia were put in place to do what Write the function whose graph is the graph of y=x, but is shifted to the left 5 units.Y=(Simplify your answer.) You have developed the following simple product structure of items needed for your gift bag for a rush party for prospective pledges in your organization. You forecast200 attendees. You are expected to have the gift bags ready at 5 P.M. However, you need to personalize the items (monogrammed pens, note pads, literature from theprinter, etc.). The lead time is 1 hour nbsp to assemble 200 J s once the other items are prepared. The other items will take a while as well. Given the volunteers you have, the other time estimates are item K(2 hours), item L (2 hours), and item M (3 hours). Develop atime-phased assembly plan to prepare the gift bags.The product structure.J Parent K (1) Child L (4) Parent M (2) Dr Lee has asked you to describe the diagnosis and risk factors of the disease to the patient. What would you tell Shino about her diagnosis (c) The student finds that 21.50 cm of hydrochloric acid is needed to neutralise 25.0 cm of sodiuhydroxide solution.(i) Describe what the student should do next to prepare a pure solution of sodium chloride. Find the equation of a line parallel to y+2 =-1/2x that passes through the point (2,-7) Identify the correct leading coefficient, degree, and end behavior of P(x) = 4x^(5) + 9x^(4) + 6x^(3) - x^(2) + 2x - 7.