A person investigating to employment opportunities. They both have a beginning salary of $42,000 per year. Company A offers an increase of $1000 per year. Company B offers 7% more than during the preceding year. Which company will pay more in the sixth year? what will company A pay? and what will company B pay?

Answers

Answer 1

qANSWER

Company B will pay more

Company A =

EXPLANATION

Both companies start by paying $42,000 per year.

Company A offers an increase of $1000 per year.

This means that after n years, he would have earned:

Earnings = 42000 + 1000n

where n = number of years after the first year

So, after 6 years, he would have worked 5 years after the first, so his earnings would be:

Earnings = 42000 + 1000(5) = 42000 + 5000

Earnings = $47000

Company B offers 7% more than the previous year. That means that his earnings are compounded.

His earnings can then be represented as:

[tex]\text{ Earnings = P(1 + }\frac{r}{100})^t[/tex]

where P = initial salary = $42000

r = interest rate = 7%

t = number of years spent = 6 years

Therefore, his earnings after the 6th year will be:

[tex]\begin{gathered} \text{ Earnings = 42000(1 + }\frac{7}{100})^6 \\ \text{ Earnings = 42000(1 + 0.07)}^6=42000(1.07)^6 \\ \text{ Earnings = }42000\cdot\text{ 1.501} \\ \text{Earnings = \$63042} \end{gathered}[/tex]

He would have earned $63042.

Therefore, Company B will pay more.

Answer 2

qANSWER

Company B will pay more

Company A =

EXPLANATION

Both companies start by paying $42,000 per year.

Company A offers an increase of $1000 per year.

This means that after n years, he would have earned:

Earnings = 42000 + 1000n

where n = number of years after the first year

So, after 6 years, he would have worked 5 years after the first, so his earnings would be:

Earnings = 42000 + 1000(5) = 42000 + 5000

Earnings = $47000

Company B offers 7% more than the previous year. That means that his earnings are compounded.

His earnings can then be represented as:

[tex]\text{ Earnings = P(1 + }\frac{r}{100})^t[/tex]

where P = initial salary = $42000

r = interest rate = 7%

t = number of years spent = 6 years

Therefore, his earnings after the 6th year will be:

[tex]\begin{gathered} \text{ Earnings = 42000(1 + }\frac{7}{100})^6 \\ \text{ Earnings = 42000(1 + 0.07)}^6=42000(1.07)^6 \\ \text{ Earnings = }42000\cdot\text{ 1.501} \\ \text{Earnings = \$63042} \end{gathered}[/tex]

He would have earned $63042.

Therefore, Company B will pay more.


Related Questions

Find the median and mean of the data set below: 3, 8, 44, 50, 12, 44, 14 Median Mean =

Answers

the median is 25, because:

[tex]=\frac{3+8+44+50+12+44+14}{7}=\frac{175}{7}=25[/tex]

the mean value is :

[tex]14[/tex]

is 826,456 divisible by 8

Answers

yes it equals 103,307

Answer:

Yes, because if you divide the two numbers, you get a whole number which means it is. Also, since the last numbers are 56, 8 can go into 56 so yes.

Step-by-step explanation:

Hi dear how do I get to know you and

Answers

Given the picture, we have:

Enclosed area: A = x*y

Fence Length: F= 2x+y

Find the length of the third side. If necessary, write in simplest radical form. 9 5 Submit Answer Answer:

Answers

The Pythagorean theorem states:

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

where a and b are the legs and c is the hypotenuse of a right triangle.

Substituting with c = 9 and a = 5, we get:

[tex]\begin{gathered} 9^2=5^2+b^2 \\ 81=25+b^2 \\ 81-25=b^2 \\ 56=b^2 \\ \sqrt[]{56}=b \\ \sqrt[]{4\cdot14}=b \\ \sqrt[]{4}\cdot\sqrt[]{14}=b \\ 2\sqrt[]{14}=b \end{gathered}[/tex]

Which statement is true about the relation shown on the graph below?

Answers

We know that a function has a unique value of y for each value in x so the correct statement is:

c. it is not a function because there are multiple y values for a given x value

How to find postulate

Answers

Note that if plane N and plane M intersects each other in two points (say A and B) it follows that they intersects each other in the line that contains A and B. So they cannot intersect exactly in only two points. Postulate number 10

Write the trig equation needed to solve for X. Then solve for X. Round answers to the nearest tenth.

Answers

In order to solve for x, we need to use the tangent relation of the angle 48°.

The tangent relation is equal to the length of the opposite leg to the angle over the length of the adjacent leg to the angle.

So we have:

[tex]\begin{gathered} \tan (48\degree)=\frac{x}{17} \\ 1.1106=\frac{x}{17} \\ x=1.1106\cdot17 \\ x=18.88 \end{gathered}[/tex]

Rounding to the nearest tenth, we have x = 18.9.

Josephine bought a bag of garri for
N320.00 and sold it for N400.00.
What was her percentage profit

Answers

The most appropriate choice for profit will be given by-

Profit percent after selling a bag of garri is 25%

What is profit?

If the selling price of an article is more than the cost price of the article, then the difference between selling price and the cost price of the article gives the profit

Profit = SP - CP

Here,

Cost price of a bag of Garri = N320

Selling price of a bag of Garri = N400

Profit = N(400 - 320)

         = N80

Profit Percent = [tex]\frac{80}{320} \times 100[/tex]

                       = 25%

To learn more about profit, refer to the link-

https://brainly.com/question/24756209

#SPJ13

Miss Taylor drove 30 miles in March she drove 9 times as many miles in May as she did in March she drove 2 times as many miles in April as she did in May how many miles did Miss Taylor Drive in April.

Answers

then we use the statement to solve

Miss Taylor drove 30 miles in March

[tex]March=30[/tex]

she drove 9 times as many miles in May as she did in March

[tex]\begin{gathered} May=9\text{March} \\ May=9\times30=270 \end{gathered}[/tex]

she drove 2 times as many miles in April as she did in May

[tex]\begin{gathered} April=2May \\ April=2\times270=540 \end{gathered}[/tex]

Taylor Drove 540 Miles in April

Solve the following system of equations using the elimination method. Give the final answer in (x,y) form.

Answers

Anisha used the substitution method to solve the system of equations.

She is missing the value of y.

To find it we plut the value of x in the first equation, then:

[tex]y=4-5=-1[/tex]

Therefore the solution is (4,-1)

Use your knowledge of area and perimeter to complete the following problems. Use 3.14 for  and round to the nearest hundredths place, whenever necessary. Show all work.Part 1:A farmer bought 30 feet of fencing to build a circular pen for his pigs. What is the diameter of the pen he can build with 30 feet of fencing?The farmer also needs to buy a certain type of seed for the grass in the pen. Each bag of seed can cover 50 square feet of land. How many bags of seed will the farmer need to buy?

Answers

[tex]\begin{gathered} \text{Circumfrence of the pen is,} \\ C=2\pi r \\ 30=2\pi\times r \\ r=\frac{30}{2\pi}=4.77\text{ ft} \\ \text{The diameter is}\Rightarrow d=2r \\ d=2\times4.77=9.55\text{ ft} \\ \text{Now, second problem} \\ \end{gathered}[/tex]

Which is an equation of the line with a slope of2323 passing through the point (4,-1).Group of answer choices=14+23 =−4+23 =23−53 =23−113

Answers

Given that the slope of a line is 2/3, that passes through the point (4, -1), i.e

[tex]\begin{gathered} m=\frac{2}{3} \\ (x_1,y_1)\Rightarrow(4,-1) \end{gathered}[/tex]

The formula to find the equation of straight line is

[tex]\begin{gathered} y-y_1=m(x-x_1) \\ \text{Where m is the slope of the line} \end{gathered}[/tex]

Substitute the values into the formula of the equation of a straight line

[tex]y-(-1)=\frac{2}{3}(x-4)[/tex]

Solve for y i.e make y the subject

[tex]\begin{gathered} y-(-1)=\frac{2}{3}(x-4) \\ y+1=\frac{2}{3}(x-4) \\ \text{Open the bracket} \\ y+1=\frac{2}{3}x-\frac{2}{3}(4) \\ y+1=\frac{2}{3}x-\frac{8}{3} \\ y=\frac{2}{3}x-\frac{8}{3}-1 \\ y=\frac{2}{3}x-(\frac{8}{3}+1) \\ y=\frac{2}{3}x-(\frac{8+3}{3}) \\ y=\frac{2}{3}x-\frac{11}{3} \end{gathered}[/tex]

Thus, the answer is

[tex]y=\frac{2}{3}x-\frac{11}{3}[/tex]

Thus, the answer is the last option.

Coronado co. sells product p-14 at a price of $52 a unit. the per unit cost data are direct materials $16, direct labour $12, and overhead $12 (75% variable) Coronado has no excess capacity to accept a special order for 38,700 units at a discount of 25% from the regular price. Selling costs associated with this order would be $3 per unit. Indicate the net income/loss

Answers

The net loss from accepting the special order at a discount of 25% from the regular price, without the existence of excess capacity is $38,700.

How is the net loss determined?

Since Coronado Co. lacks the excess capacity for special orders, it implies that it will incur fixed costs per unit of the special order in addition to the variable costs.

Therefore, the company will incur a per unit cost of $40 ($16 + $12 + $9 + $3) while generating a revenue of $39 per unit.

This results in a loss of $1 per unit.

Selling price per unit = $52

Unit Costs:

Direct Materials = $16

Direct Labor = $12

Variable Overhead = $9 (75% of $12)

Total variable cost per unit = $37

Fixed Overhead = $3 (25% of $12)

Special order price per unit = $39 ($52 x 1 - 75%)

Contribution margin per unit = $2 ($39 - $37)

Total contribution margin = $77,400 ($2 x 38,700)

Fixed Overhead without excess capacity = $116,100 ($3 x 38,700)

Net loss = $38,700 ($77,400 - $116,100)

Thus, without excess capacity, it is inadvisable for Coronado to accept the special order at a total loss of $38,700.

Learn more about accepting special orders at https://brainly.com/question/28124882

#SPJ1

Question is stated in picture. The figure is a triangular piece of cloth

Answers

Answer:

Alternative D - 8 sin(35°)

Step-by-step explanation:

Sin(x) is defined as:

[tex]\begin{gathered} \sin (x)=\frac{\text{Opposite side}}{Hypotenuse\text{ }} \\ \end{gathered}[/tex]

In this exercise,

BC is the opposite side to 35°

AC is the hypotenuse and measures 8 in

Then:

[tex]\begin{gathered} \sin (35\degree)=\frac{BC}{8} \\ \sin (35\degree)\cdot8=BC \\ BC=8\sin (35\degree) \end{gathered}[/tex]

f(a)=92.39 and the average rate of change of f over the interval from x=a to x=a+266 is 0.16. What is the value of f(a+266)?f(a+266)=

Answers

Average rate is f(a+266)-f(a))/266

so f(a+266) equals (0.16 x 266) + f(a)

f (a+266)= (0.16 x 266) + 92.39

Could you help me with this problem?There are 7 acts in a talent show.A comedian, a guitarist, a magician, a pianist, a singer, a violinist, and a whistler.A talent show host randomly schedules the 7 acts.Compute the probability of each of the following events.Event A: The magician is first, the comedian is second, and the whistler is third.Event B: The first three acts are the guitarist, the pianist, and the singer, in any order.Write your answers as fractions in simplest form.

Answers

EXPLANATION

For the event B, the order of the first 3 acts doesn't matter.

So, the number of acts taken from the seven acts when the order doesn't matter is calculated using combinations.

[tex]C(m,n)=\frac{m!}{n!(m-n)!}[/tex][tex]C(7,3)=\frac{7!}{3!(7-3)!}=\frac{7!}{3!4!}[/tex]

Computing the factorials:

[tex]C(7,3)=\frac{5040}{6\cdot24}=\frac{5040}{144}=35[/tex]

Hence, the number of ways the three acts could be given are 1:C(7,3)

Therefore, the probability of the event B is:

[tex]P(B)=\frac{1}{35}[/tex]

For the event A, the order matters, so the difference between combinations and permutations is ordering. When the order matters we need to use permutations.

The number of ways in which four acts can be scheculed when the order matters is:

[tex]P(m,n)=\frac{m!}{(m-n)!}[/tex][tex]P(m,n)=\frac{7!}{(7-3)!}=\frac{5040}{24}=210[/tex]

The number of ways the magician is first, the comedian is second and the whistler is third are 1:P(7,4)

Therefore, the probability of the event A is.

[tex]P(A)=\frac{1}{210}[/tex]

You can use a calculator to approximate the logarithm. Round to four decimal place

Answers

This is a simple question to solve when we use the calculator (as the question allows us to use it).

For this problem when we have :

[tex]\log \pi[/tex]

It can be read as "log base 10 of pi", and using a calculator we find:

And that is the final answer.

NOTE: this result means that:

.

I need help with this practice I am new to this subject of mathematics (algebra) Can you show me how to solve this STEP-BY-STEP?

Answers

Given:

[tex]4+x+8=24[/tex]

Required:

To find the correct one.

Explanation:

The given quation is:

4 + x +8 =24

Subtract 8 on both sides

4 + x +8 - 8 = 24 -8

4 + x = 16

Final Answer:

Thus the first option is the correct answer.

An equation is incorrectly solved below.Equation: 2x+3=-4step 1: 2x+3-3=-4-3step 2: 2x=-1step 3: 2x/2=-1/2step 4: x=-1/2What is the first step that shows an error in the solution of the Equation? A. Step 1B. Step 2C. Step 3D. Step 4

Answers

To find the step where the error was made, we are going to correctly solve the equation:

[tex]2x+3=-4[/tex]

We need to solve for x, first we subtract 3 from each side:

[tex]\begin{gathered} 2x+3-3=-4-3 \\ 2x=-7 \end{gathered}[/tex]

We divide by 2 each side:

[tex]\begin{gathered} \frac{2x}{2}=\frac{-7}{2} \\ x=-\frac{7}{2} \end{gathered}[/tex]

The first step that shows an error in the solution of the equation is the Step 2, because when we have two negative numbers, we add them, we do not subtract them.

Answer: B. Step 2

Which equation is equivalent to - 2x + 5 - 3x = 5x + 25?A. -5 = -30B. -6x + 5 = 5x + 25C. - 10x = 20D. 20x - 5 = 25

Answers

In order to determine which is the equivalent equation, simplify the given expression:

-2x + 5 - 3x = 5x + 25 simplify like terms left side

-2x - 3x + 5 = 5x + 25

-5x + 5 = 5x + 25 subtract 5x both sides and subtract 5 both sides

-5x - 5x = 25 - 5 simplify both sides

-10x = 20

Hence,the equivalent expression is -10x = 20

8.
What is the measure of angle x in the figure?
40°
A 69°
B 71°
C 109°
D 111°

Answers

Answer:

C 109

Step-by-step explanation:

First add all the known angles inside the triangle first to get 109°

Then since all angles in a triangle add to 180°

you take away 109 from 180 so

180-109 which equals 71

Then since all angles on a straight line add up to 180°

you take 71 from 180 so

180-71 = 109

so x = 109°

Fanuela walked for 3.9 miles per hour for 0.72 hours. How far did she walk?

Answers

Answer: Fanuela walked 2.808 miles.

Step-by-step explanation:

If 3.9 = 100 and we need to work out what 72 is we can do this/

3.9 ÷ 10 = 0.39 which = 10

0.39 ÷ 10 = 0.039 which = 1

so with these calculations we can solve the problem.

To get the 70 in 72 we can do 0.39 x 7 (10 x 7) which = 2.73.

To get the remaining 2 in 72 we can do 0.039 x 2 (1 x 2) which = 0.078.

2.73 + 0.078 = 2.808.

Fanuela walked 2.808 miles.

Hope this helps! Feel free to ask any questions if you're still unsure.

speed = distance/time
3.9=d/0.72
d= 3.9 x 0.72
d= 2.808 miles

Approximate 14 plus cube root of 81 to the nearest tenth.

15.8
17.9
18.0
18.3

Answers

The Approximation of 14 plus cube root of 81 to the nearest tenth is 18.0

How can the terms be simplified?

The concept that will be used to solve this is finding cube root of 81 which same thing as [tex]81^{\frac{1}{3} }[/tex].

Firstly we will need to find the  cube root of 81, which can be expressed as this: [tex]\sqrt[3]{81}[/tex]  and this can be calculated as 4.33.

This implies that the cube root of 81 will now be 4.33.

Then we can proceed to the simplification that was asked from the question which is 14 plus cube root of 81 and this can be expressed as ( 14) + (4.33) = 18.33

Then we were told to express in the the nearest tenth which is 18.0

Therefore, the third option is correct.

Read more about Approximation at:

https://brainly.com/question/24318076

#SPJ1

A store had 896 swimsuits that were marked to sale at $44.95/swimsuit. Each suit was marked down $16.90. Find the reduced price using the formula M = S - N, where M is the markdown, S is the original selling price, and N is the reduced price. The reduced price is ?

Answers

Given:

The original selling price of 1 swimsuit = $44.95

The selling price of 1 marked down swimsuit = $16.90

Using the provided formula:

[tex]M\text{ = S - N}[/tex]

Where,

M is the markdown

S is the original selling price

N is the reduced price

Substituting we have:

[tex]16.90\text{ = 44.95 - N }[/tex]

Solving for N:

[tex]\begin{gathered} \text{Collect like terms} \\ -N\text{ = 16.90 - 44.95} \\ -N\text{ = -28.05} \\ \text{Divide both sides by -1} \\ \frac{-N}{-1}=\text{ }\frac{-28.05}{-1} \\ N\text{ = 28.05} \end{gathered}[/tex]

Hence, the reduced price is $28.05

Answer:

$28.05

15. (09.03) Jim picked a card from a standard deck. What is the probability that Ilm picked a heart or an ace? (1 point) OI 52 O 2 52 O 16 52 O 17 52

Answers

The probability of picking a heart or an ace is 17/52

Here, we want to get the probability

The number of cards in a standard deck is 52 cards

Now, we need to know the number of hearts and the number of ace

There are 13 hearts, and 4 aces

The probability of picking a heart is;

[tex]\frac{13}{52}[/tex]

The probability of picking an ace is;

[tex]\frac{4}{52}[/tex]

The probability of picking an ace or a heart is the sum of both which is;

[tex]\frac{4}{52}+\frac{13}{52}\text{ = }\frac{17}{52}[/tex]

Problem 14.f(2)(a) Determine the equations of the perpendicular bisectors througheach side of the triangle.C(4,6)B(7,3)A(2,2)I

Answers

The product of the slopes of the perpendicular lines is -1, which means if the slope of one of them is m, then the slope of the perpendicular line is -1/m

In triangle ABC

The perpendicular bisector of the side BC is drawn from the opposite vertex A

Then to find it find the slope of BC and reciprocal it and change its sign to get its slope and find the midpoint of BC to use it in the equation of the perpendicular bisector

Since B = (7, 3) and C = (4, 6)

Let us find the slope of BC, using the rule of the slope

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Let (x1, y1) = (7, 3) and (x2, y2) = (4, 6)

[tex]\begin{gathered} m_{BC}=\frac{6-3}{4-7} \\ m_{BC}=\frac{3}{-3} \\ m_{BC}=-1 \end{gathered}[/tex]

Now to find the slope of the perpendicular line to BC reciprocal it and change its sign

Since the reciprocal of 1 is 1 and the opposite of negative is positive, then

Then the slope of the perpendicular line is 1

Now, let us find the mid-point of BC

The rule of the midpoint is

[tex]M=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

Then the mid-point of BC is

[tex]\begin{gathered} M_{BC}=(\frac{7+4}{2},\frac{3+6}{2}) \\ M_{BC}=(\frac{11}{2},\frac{9}{2}) \\ M_{BC}=(5.5,4.5) \end{gathered}[/tex]

Now we can form the equation of the perpendicular bisector of BC using its slope 1 and the point (5.5, 4.5)

The form of the equation using a point and a slope is

[tex]y-y1=m(x-x1)[/tex]

m is the slope and (x1, y1) is a point on the line

Since m = 1 and (x1, y1) = (5.5, 4.5), then

[tex]\begin{gathered} m=1,x1=5.5,y1=4.5 \\ y-4.5=1(x-5.5) \\ y-4.5=x-5.5 \end{gathered}[/tex]

Add 4.5 to both sides

[tex]\begin{gathered} y-4.5+4.5=x-5.5+4.5 \\ y=x-1 \end{gathered}[/tex]

The equation of the perpendicular bisector of BC is

[tex]y=x-1[/tex]

We will do the same to AB and AC

5. Helen, Riley, and Derrick are on a running team. Helen ran 15 1/4 kilometers last week. Riley ran 4 1/12 less kilometers than Helen, and Derrick ran 7 3/8 more kilometers than Riley. If their goal is to run 60 kilometers in total, how much further do they need to run to meet their goal? I

Answers

Given in the scenario:

a.) Helen ran 15 1/4 kilometers last week.

b.) Riley ran 4 1/12 less kilometers than Helen.

c.) Derrick ran 7 3/8 more kilometers than Riley.

d.) Their goal is to run 60 kilometers in total.

To be able to determine how much further do they need to run to get 60 kilometers in total, we must first determine how many kilometers did Riley and Derrick run.

We get,

A.)

[tex]\text{Riley: }4\frac{1}{12}\text{ less kilometers than Helen}[/tex][tex]\text{ = 15 }\frac{1}{4}\text{ - 4 }\frac{1}{12}[/tex]

Recall: To be able to subtract mixed numbers, you must first convert them into an improper fraction with a common denominator. The LCM of the two denominators must be their denominator when converted.

The LCM of 4 and 12 is 12. We get,

[tex]\text{ 15 }\frac{1}{4}\text{ = }\frac{1\text{ + (4 x 15)}}{4}\text{ = }\frac{1\text{ + 60}}{4}\text{ = }\frac{61}{4}\text{ = }\frac{(61)(3)}{12}\text{ = }\frac{183}{12}[/tex][tex]4\text{ }\frac{1}{12}\text{ = }\frac{1\text{ + (4 x 12)}}{12}\text{ = }\frac{1\text{ + 48}}{12}\text{ = }\frac{49}{12}[/tex]

Let's now proceed with the subtraction,

[tex]15\frac{1}{4}-4\frac{1}{12}=\frac{183}{12}\text{ - }\frac{49}{12}\text{ = }\frac{183\text{ - 49}}{12}\text{ = }\frac{134}{12}\text{ = }\frac{\frac{134}{2}}{\frac{12}{2}}\text{ = }\frac{67}{6}\text{ or 11}\frac{1}{6}[/tex]

Conclusion: Riley ran 11 1/6 kilometers.

B.)

[tex]\text{Derrick: }7\frac{3}{8}\text{ more kilometers than Riley}[/tex][tex]\text{ = 11}\frac{1}{6}\text{ + 7}\frac{3}{8}[/tex]

Recall: To be able to add mixed numbers, you must first convert them into an improper fraction with a common denominator. The LCM of the two denominators must be their denominator when converted.

The LCM of 6 and 8 is 24. We get,

[tex]11\frac{1}{6}\text{ = }\frac{1\text{ + (11 x 6)}}{6}\text{ = }\frac{1\text{ + 66}}{6}\text{ = }\frac{67}{6}\text{ = }\frac{(67)(4)}{24}\text{ = }\frac{268}{24}[/tex][tex]7\frac{3}{8}\text{ = }\frac{3\text{ + (7 x 8)}}{8}=\frac{3\text{ + 56}}{8}=\frac{59}{8}=\frac{(59)(3)}{24}=\frac{177}{24}[/tex]

Let's now proceed with the addition,

[tex]11\frac{1}{6}\text{ + 7}\frac{3}{8}\text{ = }\frac{268}{24}\text{ + }\frac{177}{24}\text{ = }\frac{268\text{ + 177}}{24}\text{ = }\frac{445}{24}\text{ or 18}\frac{13}{24}[/tex]

Conclusion: Derrick ran 18 13/24 kilometers.

C.) To be able to determine how much further do they need to run to get 60 kilometers in total, we subtract 60 by the sum of distance the three people ran.

We get,

[tex]\text{ 60 - (15 }\frac{1}{4}\text{ + 11}\frac{1}{6}\text{ + 18}\frac{13}{24})[/tex]

The same process that we did, convert all numbers into similar fractions.

The LCM of 4, 6 and 24 is 24. We get,

[tex]15\frac{1}{4}\text{ = }\frac{1\text{ + }(15\text{ x 4)}}{4}\text{ = }\frac{1\text{ + 60}}{4}\text{ = }\frac{61}{4}\text{ = }\frac{(61)(6)}{24}\text{ = }\frac{366}{24}[/tex][tex]11\frac{1}{6}\text{ = }\frac{1\text{ + (11 x 6)}}{6}\text{ = }\frac{1\text{ + 66}}{6}\text{ = }\frac{67}{6}\text{ = }\frac{(67)(4)}{24}\text{ = }\frac{268}{24}[/tex][tex]\text{ 18}\frac{13}{24}=\text{ }\frac{13+(18\text{ x 24)}}{24}\text{ = }\frac{13\text{ + 432}}{24}\text{ = }\frac{445}{24}[/tex][tex]60\text{ = }\frac{60\text{ x 24 }}{24}\text{ = }\frac{1440}{24}[/tex]

Let's proceed with the operation,

[tex]\text{ 60 - (15 }\frac{1}{4}\text{ + 11}\frac{1}{6}\text{ + 18}\frac{13}{24})\text{ = }\frac{1440}{24}-(\frac{366}{24}\text{ + }\frac{268}{24}\text{ + }\frac{445}{24})[/tex][tex]\text{ }\frac{1440\text{ - (366 + 268 + 445)}}{24}\text{ = }\frac{1440\text{ - 1079}}{24}[/tex][tex]\text{ = }\frac{361}{24}[/tex]

Therefore, they need to run a total of 361/24 kilometers to be able to meet their goal.

which of the following is an integer ) 58/81) π) -11) 27.4444....

Answers

-11 is an integer number

The side of a square lot is (5×-3) meters. How many meters of fencing materials are needed to enclose the square lot?

Answers

The length of the fencing will be the perimeter of the given square with side (5x - 3) thus (20x - 12) meters will be the fencing length.

What is a square?

A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.

As per the given,

Side of square = 5x - 3

The fencing around the square will cover the complete perimeter of the square.

Since the perimeter of the square = 4 × side

Therefore,

Length of fencing = 4 × (5x - 3)

Length of fencing = 20x - 12

Hence "The length of the fencing will be the perimeter of the given square with side (5x - 3) thus (20x - 12) meters will be the fencing length".

For more about a square,

https://brainly.com/question/2189895

#SPJ1

1. describe the end behavior. 2. determine whether it represents an odd degree or an even degree function.3. state the number of real zeroes

Answers

1. Quadratic curve

2. Odd degree function

3. TWO REAL ZEROS

Other Questions
write a 5-7 sentence paragraph, telling me what you learned about culture. Use descriptive words and be as specific as possible. which graph correctly shows the solution to the inequality 7x-3/9 8-2x(Have to make own graph) Please help asapthis is an assignment due today please help real quickno fake answers If you had access to a personal DNA machine, what would you analyze and why? Kara categorized her spending for this month into four categories: Rent, Food, Fun, and Other. Theamounts she spent in each category are pictured here.Food$333Rent$417Other$500Fun$250What percent of her total spending did she spend on Fun? Answer to the nearest whole percent. quadrilateral WXYZ is reflected across the line y=x to create quadrilateral WXYZ'. What are the coordinates of quadrilateral WXYZ'. Consider the graph below.(3,1) (4,2) (6,3) (4,4) (8,5) Which correlation coefficient and interpretation best represent the given points?1.) 0.625, no correlation 2.) 0.791. no correlation 3.) 0.625, positive correlation4.) 0.791. positive correlation A coin is tossed an eight sided die numbered 1 through 8 is rolled find the probability of tossing a head and then rolling a number greater than 6. Round to three decimal places if needed Find the mean and population standar deviation for each data set. Hours slept Write a verbal sentence to represent each equation.9.3n-357910. 2(n + 3n) = 4n11.5nn+3-=n-8 Solve the trig equation on the interval [tex]0 \leqslant theta \: \ \textless \ 2\pi[/tex][tex]3 sec \: \: theta \: - 2 \sqrt{3 } = 0[/tex] if the decision maker has no knowledge about the likelihood of any of the states of nature occurring, then it can be stated that the decision maker is operating in an environment of (221x3 + 154x2 + 228x + 41) / (17x + 4i The subject isn't supposed to be Social Studies it is supposed to be math, I don't know how to change the subject Business partners Melinda and Joseph are discussing which legal structure to choose for their business. They are leaning toward creating a corporation. What is one advantage of a corporation for these partners? A. They would have lower setup costs. B. They would follow fewer government regulations. C. They would have protection from personal liability. D. They could set the business up without assistance from a lawyer. find a slope of the line that passes through (8,8) and (1,9) 0.75 greater than 1/2 A ________ occurs when a speculative attack on the exchange value of a currency results in a sharp depreciation in the value of the currency or forces authorities to expend large volumes of international currency reserves and sharply increase interest rates to defend the prevailing exchange rate. if a buyer has a gross monthly income of $8,500, student loans of $150/month, and car payments of $250/month, what is the maximum monthly piti loan he or she could get if the lender has set a total debt ratio of 38%? I need help creating a tree diagram for this probability scenario Imagine you asked students to draw an area model for the expression 5+4x2.Walking around the room, you see the following three area models.First, briefly explain the student thinking process you think might be behind each answer. Answer Describe the thinking processWhich order would you call students A, B and C to present their work to the class and how would you guide the discussion?