PLEASE help thank you!

PLEASE Help Thank You!

Answers

Answer 1

Answer:

70

Step-by-step explanation:

So 175% of 40 is the amount in april so we can split it up into 2 problems

100% of 40? 40

75% of 40? 30

Then you add the 2 to get 175% of 40 which will be 70!


Related Questions

Solve the equation 5x = 85 for x.

−17
17
−90
80

Answers

x = 17

Step-by-step explanation:

5x = 85

x = 85/5

x = 17.

Hence, option (b) is correct answer

Answer: x=17 the answer is B

Hope this helped

Step-by-step explanation:

The United States flag has a height : width ratio of 10 : 19. If a U.S. flag is 25 inches high, what is its area?

Answers

The area of the given flag is 1187.5 square inches.

Given that, the United States flag has a height : width ratio of 10 : 19.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Let the sum of Height and width of flag be x.

Now, 10+19=29

⇒ 10/29 ×x = 25

⇒ 10x=29 × 25

⇒ x=72.5

So, width = 72.5-25 =47.5

Area of flag = Length × Width

= 25 × 47.5

= 1187.5 square inches

Therefore, the area of the given flag is 1187.5 square inches.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ1

Emma is scrapbooking. She has 9 inches of paper and needs to cut it into 2/5 inch strips of paper. how many whole strips will she be able to make?

Answers

ok

I erased the answer but it is 22 whole strips

23 < y - 2 solve the inequality of y and simplify your answer as much as possible.

Answers

[tex]23 + 2 < y \\ y > 25[/tex]

ATTACHED IS THE SOLUTION Mind you I swap the positions of the term so that y can be on the left hand side.

Goodluck!!

Answer:

25 < y

Step-by-step explanation:

23 + 2 < y

25 < y

that's as much as it goes

PLS HELP, 50 POINTS + BRAINLY FOR CORRECT ANSWER!!!

Answers

Slope of line A is -1/3. Slope of line B is -1. Slope of Line C is -5/4
-1/3 - slope A
-1 - Slope B
-5/4 - Slope C

2x+y = -7
-4x -5y =23

Answers

Answer:

x = -2

y = -3

Step-by-step explanation:

If it is a simultaneous equation.

2x+y = -7-----equation 1

-4x -5y =23-----equation 2

5(2x+y = -7)

-4x -5y =23

10x+5y = -35

-4x -5y =23 +5y cancel -5y

10x= -35

-4x=23

6x = -12

x = -2

Solving for Y

Substitute the value of x in equation one or two.

equation two = -4x -5y =23

-4x -5y =23

-4(-2) -5y =23

8-5y=23

-5y = 23-8

-5y = 15

y = -3

Which equation has no solution?

Answers

Answer:

The answer is the third one down

Step-by-step explanation:

l5-3xl = -8

Absolute value cannot equal a negative number.

Step-by-step explanation:

l5-3xl = -8

the | | is absolute value to it so it cant be negative number

3a. Sketch the line that goes through the points A(4,3) and B( 8, 1)Find the slope and the equation of line AB3b. Find the length of segment AB3c. Find the midpoint of segment AB

Answers

Hello! First, let's remember:

We can write a point as a cartesian coordinate (x, y).

The exercise has given two points, A(4,3) and B(8,1).

a. Slope:

To calculate the slope of a line, we can use the formula below:

[tex]\text{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let's consider A equal to the first point (4, 3) = (x1, y1), and B will be the second point (8, 1) = (x2, y2). Replacing these values in the formula:

[tex]\text{Slope}=\frac{1_{}-(3)_{}}{8-(4)}=\frac{-2}{4}=-\frac{1}{2}[/tex]

b. Lenght of segment AB:

To find this length, we have to use another formula. Now we will calculate the distance between two points:

[tex]\text{Distance}=\sqrt[]{(x_2-x_1)^2+(y_2_{}-y_1_{})^2}[/tex]

Still considering A (4, 3) = (x1, y1), and B (8, 1) = (x2, y2), let's replace the values in the formula:

[tex]\begin{gathered} \text{Distance}=\sqrt[]{(8_{}-4_{})^2+(1-3_{})^2} \\ \text{Distance}=\sqrt[]{(4_{})^2+(-2_{})^2} \\ \text{Distance}=\sqrt[]{(16^{}+4)^{}} \\ \text{Distance}=\sqrt[]{20} \\ \text{Distance}=2\sqrt[]{5} \end{gathered}[/tex]

c. Midpoint of segment AB:

This value will be the medium point. To calculate it, we'll use another formula:

[tex]x_m=(\frac{x_1+x_2}{2}+\frac{y_1+y_2_{}_{}}{2})[/tex]

Still considering the same values for (x1, y1) and (x2, y2), let's replace them:

[tex]\begin{gathered} x_m=(\frac{8+4_{}}{2},\frac{3+1_{}}{2}) \\ \\ x_m=(\frac{12_{}}{2},\frac{4_{}}{2}) \\ \\ x_m=(6,2) \end{gathered}[/tex]

The midpoint of segment AB will be at point X (6, 2).

You can see this line represented in a cartesian plan below:

Greg is at his house he gets in his car drives north 8.9 miles and stops at a store then he turns around and drives south 7.7 miles to his friends house how far is the friends house from Greg’s houses

Answers

The distance of the friends house from Greg’s houses is 1.2 miles.

How to illustrate the information?

From the information illustrated, Greg is at his house he gets in his car drives north 8.9 miles and stops at a store then he turns around and drives south 7.7 miles to his friends house how

The distance will be the difference between the miles that are given.

This will be:

= 8.9 miles - 7.7 miles

= 1.2 miles

The distance is 1.2 miles.

Learn more about miles on:

brainly.com/question/527554

#SPJ1

Evaluate if x = 4. x² + x = [?]​

Answers

Answer: The answer is 0.

X = 0 when evaluated.

Step-by-step explanation:

x^2 - 2x

The value of x^2 - 2x for x = 4 is calculated as below

Now, substituting x=4 in the given equation, we get
x^2 - 2x = 4^2 - 2 x 4
= 16 - 8
= 8
Therefor, the answer is 8

Find the output when the input is n input 1,2,3,4,n output
-6,-8,-10,-12

Answers

The expression that represents the output value when the input is n is -4 - 2n

How to determine the output value for the input n?

From the question, the input parameters are given as

Input 1,2,3,4,n

Similarly, the output parameters are given as

output: -6,-8,-10,-12

So, we have the following table of values

1,2,3,4,n

-6,-8,-10,-12

From the above table of values, we have the following parameters

Sequence type = arithmetic sequenceFirst term, a = -6Common difference, d = -2

The output value for the input n is then calculated as

Tn = a + (n - 1) * d

So, we have

Tn = -6 + (n - 1) * -2

Open brackets

Tn = -6 - 2n + 2

Evaluate the like terms

Tn = -4 - 2n

Hence, the output value for the input n is -4 - 2n

Read more about arithmetic sequence at

https://brainly.com/question/7882626

#SPJ1

Find the perimeter pf the regular polygon.
5 (x+2)
7x+4

Answers

The perimeter of the regular polygon is 108 units.

How to find the perimeter of a regular polygon?

A regular polygon is a polygon that has all its sides equal to each other.

Therefore,

5(x + 2) = 7x + 4

5x + 10 = 7x + 4

5x - 7x = 4 - 10

-3x  = -6

x = -6 / -3

x = 2

The perimeter of a regular polygon is the sum of the whole sides of the polygon.

Therefore,

each side of the regular polygon = 7(2) + 4

each side of the regular polygon = 14 + 4

each side of the regular polygon = 18

Hence the regular polygon has 6 sides

perimeter of the regular polygon = 18  × 6

perimeter of the regular polygon = 108 units

learn more on regular polygon here: https://brainly.com/question/356990

#SPJ1

Which graph represents the reflection of AABC over the line y = 0?
-54-3 -2 -1
S ON
CH
-3
LO
*
C
A
2 3
A
B
12
X

Answers

Answer:

The graph represents the reflection of triangle ABC over the line y=0 in graph (C).

The coordinates of the triangle ABC are:

A(1, -1), B(4, -1) and C(3, -3).

The rule of reflection over the line y = 0 is:

(x, y)   ⇒   (x, -y)

So, we have:

A(1, -1)   ⇒    (1, 1),

B(4, -1)  ⇒    (4, 1)

C(3, -3)  ⇒  (3, 3).

By comparing the above points to the list of options, the correct graph is a graph (c)

Step-by-step explanation:

hope this helps I hope

The graph C represents the reflection of triangle ABC over the line y = 0

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The coordinates of the triangle ABC are:

A(1, -1), B(4, -1) and C(3, -3).

The rule of reflection over the line y = 0 is:

(x, y)   ⇒   (x, -y)

So, we have:

The coordinates after applying rule

A(1, -1)   ⇒    (1, 1),

B(4, -1)  ⇒    (4, 1)

C(3, -3)  ⇒  (3, 3).

By comparing the above points to the list of options, the correct graph is a graph (c)

Hence, the graph C represents the reflection of triangle ABC over the line y = 0

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ5


According to the United States Treasury Department, the U.S. national debt was 1.815 x 10^13 dollars on September 30, 2015. On September 29,
2005, the national debt was 4.974 x 10^12 dollars. Find the amount of increase in the national debt from September of 2005 to September of 2015.
Write a sentence describing the increase in the national debt from 2005 to 2015 using scientific notation and using standard form.

Answers

The increase in the national debt from 2005 to 2015 using scientific notation is 1.3176 × 10^13.

What is scientific notation?

Scientific notation simply means a way of expressing numbers that are either too large or too small.

The U.S. national debt was 1.815 x 10^13 dollars on September 30, 2015 and in September 29,

2005, the national debt was 4.974 x 10^12 dollars.

The increase will be the difference between the two notations. This will be:

= 1.815 x 10^13 - 4.974 x 10^12

= 1.3176 × 10^13

The increase is 1.3176 × 10^13.

Learn more about scientific notation on:

brainly.com/question/1767229

#SPJ1

The required respective increase in the national debt of America for the period 2005 to 2015 is 1.3176 × 10¹³.

As of the given condition,
According to the United States Treasury Department, the U.S. national debt was 1.815 x 10^13 dollars on September 30, 2015. On September 29, 2005, the national debt was 4.974 x 10^12 dollars.

Here,
The required increase in the debt is evaluated as the arithmetic difference of the debt in the years 2015 and 2005.

So.
Increase in debt = 1.815 × 10¹³ - 0.4974 × 10¹³ = 1.3176 × 10¹³

Thus, the required respective increase in the national debt of America for the period 2005 to 2015 is 1.3176 × 10¹³.

Learn more about scientific notation here:

https://brainly.com/question/18073768

#SPJ1


Tiana made lemonade for a party. Her family drank half of the lemonade. After the party, she gave one-third of the remaining lemonade to her neighbors. If Tiana has 210 ounces of lemonade remaining after the party and giving some away to her neighbors, how many ounces of lemonade did she start with? Show your work.

Answers

The amount of lemonade Tina made in the starting is 630 ounces.

Given that:-

Fraction of lemonade drank by her family = 1/2

Fraction of lemonade given to neighbors = 1/3 of remaining

Amount of lemonade left with her at the end = 210 ounces

We have to find the amount of lemonade Tina made in the starting.

Let the amount of lemonade Tina made in the starting be 6x.

Hence,

Amount of lemonade drank by her family = (1/2)*6x = 3x

Remaining lemonade = 6x - 3x = 3x

Amount of lemonade given to neighbors = (1/3)*3x = x

Remaining lemonade = 3x - x = 2x = 210 ounces

Hence,

x = 210/2 = 105 ounces

Amount of lemonade Tina made in the starting = 6x = 6*105 = 630 ounces.

To learn more about Fraction, here:-

https://brainly.com/question/10354322

#SPJ1

arlett is playing a video game. She spends 900 minerals to create 18 workers. Each worker costs the same number of minerals.

Write an equation to describe the relationship between m, the amount of minerals, and w, the number of workers.

Answers

The required equation is m/w = 900/18

What is meant by an equation?

An equation is a formula in mathematics that expresses the equality of two expressions by linking them with the equals sign. The word equation and its cognates in various languages may have somewhat different definitions; for example, in French, an équation is defined as including one or more variables, but in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign. Differential equations are equations in which one or more functions and their derivatives are involved. They are solved by locating a function expression that does not use derivatives. Differential equations are used to represent processes with variable rates of change in fields such as physics, chemistry, biology, and economics.

The required equation is m/w = 900/18

To know more about an equation, click on then link

https://brainly.com/question/27893282

#SPJ9

Solve the inequality and graph the solution on the line provided.
3x+17_< 41

Answers

So if your problem is: 3x + 17 (less than or equal to sign) 41

Your answer should be: x _< 8

(The “<“ is on top of the underline btw)

The sign between x & 8, should be: “less than or equal to” sign.

And your point on the graph should go form right to left. Starting on right side “8”, then proceeding to the negative side

Check the graph below that I provided

jackson bikes 2 miles in 15 mins at that rate how many miles will a bike in 45 mins

Answers

Let's use Cross-multiplication:

2mi ------------------------>15min

x mi------------------------->45min

So:

2/x = 15/45

Solving for x:

Multiply both sides by x:

x*(2/x) = x* 15/45

2 = 15x/45

Multiply both sides by 45:

45*2 = 45*(15x/45)

90 = 15x

Divide both sides by 15:

90/15 = 15x/15

6 = x

x = 6mi

Dr. Choi just started an experiment. He will collect data for days. How many hours is this?

Answers

The data collected in [n] days is collected in 24n hours.

What is the SI unit of time?

The SI unit of time is Seconds. In 1 second, there are (1/60) minutes.

Given is Dr. Choi who just started an experiment and he will collect data for days.

Assume that he collects the data for [n] number of days. In one day, we have 24 hours. Therefore, in [n] number of days, there will be total of 24n hours.

Therefore, the data collected in [n] days is collected in 24n hours.

To solve more questions on time visit the link below-

https://brainly.com/question/13784898

#SPJ1

Helpppppp x = – 3
y = – 1

Answers

The graphs of the equations are in the attached graph

'

How to plot the equations on the graph?

Equation (2)

From the question, the equation is given as

x = -3

In the above equation, we can see that

The equation has only one variable and the highest power of the variable is 1

Since the variable is x, then it means that the line of the graph is a vertical line that passes through point x = -3

See attachment for the graph

Equation (3)

Here, we have

y = -1

Also in this equation, we can see that

The equation has only one variable and the highest power of the variable is 1

Since the variable is y, then it means that the line of the graph is a horizontal line that passes through point y = -1

See attachment for the graph

Read more about linear functions at

https://brainly.com/question/15602982

#SPJ1

A barge is being towed by two tugboats, using ropes with force vectors as shown.

Answers

SOLUTION

From the question, we are given

[tex]\begin{gathered} F_1=(11,000,5000) \\ F_2=(14,500,-8,000) \end{gathered}[/tex]

Now, to find the angle between the ropes, we will take the dot product of two vectors. This is given as

[tex]\begin{gathered} a.b=|a||b|cos\theta \\ so,\text{ we have } \\ cos\theta=\frac{a.b}{|a||b|} \end{gathered}[/tex]

But writing the forces in vector form, we have

[tex]\begin{gathered} F_1=11,000i+5000j \\ F_2=14,500i-8,000j \end{gathered}[/tex]

Applying the formula above, we have

[tex]\begin{gathered} cos\theta=\frac{a.b}{|a||b|} \\ cos\theta=\frac{(11,000)(14,500)+(5000)(-8000)}{\sqrt{11,000^2+5000^2)\sqrt{14500^2+(-8000)^2}}} \\ cos\theta=\frac{159,500,000-40,000,000}{\sqrt{121,000,000+25,000,000}\sqrt{210,250,000+64,000,000}} \\ cos\theta=\frac{119,500,000}{\sqrt{146,000,000}\sqrt{274,250,000}} \\ cos\theta=\frac{119,500,000}{12,083.04579\times16560.4952} \\ cos\theta=\frac{119,500,000}{200,101,221.806675} \\ cos\theta=0.5971977 \end{gathered}[/tex]

Now, theta becomes

[tex]\begin{gathered} \theta=cos^{-1}0.5971977 \\ \theta=53.3305 \end{gathered}[/tex]

hence the answer is option B, 53 degrees

SOLUTION

From the question, we are given

[tex]\begin{gathered} F_1=(11,000,5000) \\ F_2=(14,500,-8,000) \end{gathered}[/tex]

Now, to find the angle between the ropes, we will take the dot product of two vectors. This is given as

[tex]\begin{gathered} a.b=|a||b|cos\theta \\ so,\text{ we have } \\ cos\theta=\frac{a.b}{|a||b|} \end{gathered}[/tex]

But writing the forces in vector form, we have

[tex]\begin{gathered} F_1=11,000i+5000j \\ F_2=14,500i-8,000j \end{gathered}[/tex]

Applying the formula above, we have

[tex]\begin{gathered} cos\theta=\frac{a.b}{|a||b|} \\ cos\theta=\frac{(11,000)(14,500)+(5000)(-8000)}{\sqrt{11,000^2+5000^2)\sqrt{14500^2+(-8000)^2}}} \\ cos\theta=\frac{159,500,000-40,000,000}{\sqrt{121,000,000+25,000,000}\sqrt{210,250,000+64,000,000}} \\ cos\theta=\frac{119,500,000}{\sqrt{146,000,000}\sqrt{274,250,000}} \\ cos\theta=\frac{119,500,000}{12,083.04579\times16560.4952} \\ cos\theta=\frac{119,500,000}{200,101,221.806675} \\ cos\theta=0.5971977 \end{gathered}[/tex]

Now, theta becomes

[tex]\begin{gathered} \theta=cos^{-1}0.5971977 \\ \theta=53.3305 \end{gathered}[/tex]

hence the answer is option B, 53 degrees

What is the slope of the line through the points (6,5) and (4, 10)?
m=

Answers

The slope of the line through the points (6,5) and (4, 10) exists -5/2.

What is meant by the slope of a line?

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by Δy and Δx, respectively. where "m" represents a line's slope. So, the slope of a line is tan.

Determine the coordinates of two points along the line that you choose. Find the difference between these two points' y-coordinates (rise). Find the difference between these two points' x-coordinates (run). Divide the difference in x-coordinates (rise/run or slope) by the difference in y-coordinates.

Let the two points are (6, 5) and (4, 10)

(x1, y1) = (6, 5) and (x2, y2) = (4, 10)

The equation of slope of the line through the points (x1, y1) and (x2, y2) = y2 - y1 / x2 - x1

substitute the values in the above equation, and we get

= 10 - 5 / 4 - 6

= 5 / -2

Therefore, the slope of the line through the points (6,5) and (4, 10) exists -5/2.

To learn more about the slope of the line refer to:

https://brainly.com/question/16949303

#SPJ13

product of (-12)(-8)

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{GUIDE TO FOLLOW: }[/tex]

• [tex]\large\textsf{2 negatives equal positive}[/tex]
• [tex]\large\textsf{2 positives equal positive}[/tex]
• [tex]\large\textsf{1 negative \& 1 positive equal negative}[/tex]
• [tex]\large\textsf{1 positive \& 1 positive equal negative}[/tex]


[tex]\large\textsf{SOME OPERATIONS MAY BE DIFFERENT THAN OTHERS!}[/tex]


[tex]\large\textsf{ANYWHO, LET US ANSWER THIS QUESTION, SHALL WE? }[/tex]

[tex]\mathsf{(-12)(-8)}[/tex]

[tex]\mathsf{= 12(8)}[/tex]

[tex]\mathsf{= 96}[/tex]


[tex]\huge\textsf{Therefore, your answer should be: \boxed{\mathsf{96}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

HOW ARE THESE GRAPHS THE SAME AND HOW ARE THEY DIFFERENT

Answers

In this case, we must analyze the graphs to find the solution.

Step 01:

Graph A

Dollars vs Months

If Months = 4 ===> 400 Dollars

Graph B

Months vs Dollars

If Dollars = 4 ===> 400 Months

If Months = 4 ===> The dollar amount is imperceptible on the graph.

The answer is:

The graphics are different.

In this case, we must analyze the graphs to find the solution.

Step 01:

Graph A

Dollars vs Months

If Months = 4 ===> 400 Dollars

Graph B

Months vs Dollars

If Dollars = 4 ===> 400 Months

If Months = 4 ===> The dollar amount is imperceptible on the graph.

The answer is:

The graphics are different.

4x > 28 solve the inequality for x and simplify your answer as much as possible

Answers

Answer:

x > 7

Step-by-step explanation:

x = 28 ÷ 4

x > 7

that's it

Hey there!


4x > 28
DIVIDE 4 to BOTH SIDES

4x/4 > 28/4

SIMPLIFY it

x > 28/4

x > 7


It is an open circle started at 7 & it’s going to the left of the number line


Therefore, your answer should be:

x > 7


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

I need help!
Use the given information to select the factors of f(x). f(4)=0 f(-1)=0 f(3/2)=0. Make sure to select all correct answers for full credit.

Answers

The given information of the factors f ( x ) helped to get the following correct options:

( x + 1 ) ⇒ f ( -1 )( x - 4 ) ⇒ f ( 4 )( 2x - 3 ) ⇒ f ( 3/2 )

What is a function in math?

The term function as used n math refers to a relation consisting of variables. the variables are of two major types which include

The dependent variableThe independent variable

Substituting the functions we have:

f (-1 ) = ( 1 - 1 ) = 0

f ( 4 ) = ( 4 - 4 ) = 0

f ( 3/2 ) = (3 * 2/3 - 3 ) = 0

Other options fail to give the desired result of zero.

Learn more about function at: https://brainly.com/question/10439235

#SPJ1

C)
to make the total value equal to 2. Re-write the statement 19 + 7 + 2 x 6 + 1 by including two pairs
of brackets

Answers

If you place brackets or parenthesis around the numbers 19+7 and 2*6+1. It would appear as follows: (19+7)/(2*6+1) = 26/13 = 2. It takes special parenthetical treatment to express the mathematical expression 19+7/26+1 to get a result of 2.

What is expression?

An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being similar to phrases. A phrase in language may contain an action on its own, but it does not constitute a complete sentence.

Here,

y=19+7/2×6+1

becomes

y=(19+7)/(2×6+1)

y=26/(12+1)

y=26/13

y=2

If you enclose the numbers 19+7 and 2*6+1 in parenthesis or brackets. It would look like this: (19+7)/(2*6+1) = 26/13 = 2. The mathematical expression 19+7/26+1 must be expressed with special parenthetical treatment to yield the number 2.

To know more about expression,

https://brainly.com/question/1859113?referrer=searchResults

#SPJ13

Susan spent 3/8 on school bag and spend 2/5 of the remaining spend on fountain pen. how much is the school bag cost?​

Answers

Answer:

30 dollars

Step-by-step explanation:

3/8 and 2/5 is 31/40 and 300.00

Answer is 30.775

Answer: 30 dollars

Step-by-step explanation: cant put explanation right now in a rush! make the other person brainliest they deserve it! :)

a bakery uses 3 3/5 cups of oats to make 2 4/7 pounds of oatmeal cookies how many cups of oats are required per pound of cookies

Answers

Answer: 7/5 or 1 2/5

Step-by-step explanation:

Ok so the bakery uses 3 3/5 cups cups of oats for 2 4/7 POUNDS of cookies.

You need to find the unit price.

So to get from 2 4/7 to 1, you need to divide 2 4/7 by 2 4/7

You need to do the same thing to 3 3/5 cups.

3 3/5 as an improper fraction is 18/5

2 4/7 as an improper fraction is 18/7

Now to divide you need to keep, change, and flip

keep the 18/5, change the sign to multiplycation, and flip the 18/7 to 7/18

18/5*7/18=7/5

7/5 or 1 2/5 pounds of outs are required to make 1 pound of oatmeal cookies

General MathematicsProblem:What sum would have to be invested at 9% conpounded annually to provide an ordinary annuity at ₱8,000 per year for 5 years?

Answers

Given that a future value annuity of 8,000 is accrued at 9% compounded annually, the present value of the annuity is evaluated as

[tex]\begin{gathered} PV=P(\frac{1-(1+r)^{-n}}{r})\text{ ----- equation 1} \\ \text{where } \\ PV\text{ }\Rightarrow present\text{ value of the annuity} \\ P\Rightarrow value\text{ of each payment} \\ r\Rightarrow interest\text{ rate} \\ n\Rightarrow period \end{gathered}[/tex]

Thus,

[tex]\begin{gathered} P=8,000 \\ r=9\text{\%}=\frac{9}{100}=0.09 \\ n=5 \\ PV\text{ is unknown} \\ \end{gathered}[/tex]

Substitute the above value into equation 1, to solve for PV

[tex]\begin{gathered} PV\text{ = 8000(}\frac{1-(1+0.09)^{-5}}{0.09}) \\ \Rightarrow8000\times\frac{1-1.09^{-5}}{0.09} \\ =31117.21 \end{gathered}[/tex]

Hence, the sum to be invested is 31117.21

Other Questions
QUESTION 2How many grams of NaOH are present in 27.0 mL of a 2 M solution? A groundskeeper who moves from a school to a church and remains a groundskeeper is experiencing _____. a. horizontal mobility b. vertical mobility c. intergenerational mobility d. parallel mobility please select the best answer from the choices provided a b c d why was the client-server architecture more appealing to organizations than mainframes? the mainframes were getting older. mainframes cannot connect to the cloud. the client-server architecture was cheaper. companies were not using mainframes anymore. it is easier to set up a client-server architecture than a mainframe. if a medical office is in violation of health insurance portability and accountability act (hipaa) regulations, they face both __________ penalties. What percentage of this shape is shaded? when jerry burger replicated milgram's experiment in 2009, he found that 70% of participants were still obeying, a from milgram's result. multiple choice question. large increase large reduction slight increase slight reduction Evaluate each function. Be sure to show your substitutions.h(x) = 7x^2 - 4x-15h(20) q divided by 4 + 8q, for q=8 the dean of a business school is forecasting total student enrollment for next year based on the following historical data: year total enrollment 1 1600 2 2000 3 2200 4 2600 5 3000 what is 6th year's forecast using the naive approach? group of answer choices 2,200 2,800 none of the choices 2,000 3,400 if actual aggregate output is less than potential output, then the: please choose the correct answer from the following choices, and then select the submit answer button. answer choices long-run aggregate supply curve will shift to the left. long-run aggregate supply curve will shift to the right. short-run aggregate supply curve will shift to the left. short-run aggregate supply curve will shift to the right. During a titration, an endpoint was reached after adding 20 mL of sodium hydroxide solution, NaOH(aq), to 20 mL of sulfuric acid, H2SO4. The sodium hydroxide solution had a concentration of 1.50 mol/L. What was the initial concentration of the sulfuric acid? Select one: a. 1.50 mol/L b. 2.25 mol/L c. 3 mol/L d. 0.75 mol/L 1. What is investing?2. What is compound interest?3. Name at least 3 investment vehicles (ways you can invest).4. Briefly define "stocks."5. What are the two types of stocks?6. What type of investment has historically out-performed all others in the long run?7. What is a portfolio?Part 21. What is a stock certificate 2. In terms of business day to day running what is the extent of control that you have as a shareholder3. What is the advantage of issuing stock versus debt financing4. Why have stocks generally out performed other investments5. What is the difference between the NYSE and NASDAQ6. What is a small cap stock and why might someone consider investing in a small-cap stock. How is Piggy different from the other boys? Why is this significant?the book is lord of the flies problems of using ionic compound and covalent compound in domestic x- sq root 6 is a factor of x^4-36 true or false The world's population in 1999 was approximately 6 billion and with a constant rate of natural increase is expected to reach 12 billion in approximately 51years. The period of 51 years is known as how do astronomers measure that sunspots come in north pole / south pole magnetic pairs? how do they view the sun's magnetic field? from helioseismology and doppler shifts spectral lines can be split into multiple lines, further apart the stronger the magnetic field is from neutrino telescopes revealing where the proton-proton chain is broken from the motion of iron filings naturally streaming out of the radiation zone What is the value of f(-5) in the piecewise function -3x + 1 when x > 1 f(x) = -2x when x = 1 2x - 1 when x < 1 which of the following statements about fee-for-service reimbursement is incorrect? group of answer choices a. payment may be cost based. b. payment may be charge based. c. payment may be on a prospective basis (specified beforehand). d. payment may be based on the number of covered lives. e. payment may be on a per visit basis. Find mCBD. the number might be a bit blurry but it is 192