For the cash flow diagram shown, determine the value of W that will render the equivalent future worth in year 8 equal to $−500 at an interest rate of 10% per year.

Answers

Answer 1

The value of W that will render the equivalent future worth in year 8 equal to $−500 at an interest rate of 10% per year is $-65.22.

Given information

The interest rate per year = 10%

Given future worth in year 8 = -$500

Formula to calculate the equivalent future worth (EFW)

EFW = PW(1+i)^n - AW(P/F,i%,n)

Where PW = present worth

AW = annual worth

i% = interest rate

n = number of years

Using the formula of equivalent future worth

EFW = PW(1+i)^n - AW(P/F,i%,n)...(1)

As the future worth is negative, we will consider the cash flow diagram as the cash flow received.

Therefore, the future worth at year 8 = -$500 will be considered as the present worth at year 8.

Present worth = $-500

Using the formula of present worth

PW = AW(P/A,i%,n)

We can find out the value of AW.

AW = PW/(P/A,i%,n)...(2)

AW = -500/(P/A,10%,8)

AW = -$65.22

Using equation (1)EFW = PW(1+i)^n - AW(P/F,i%,n)

EFW = 0 - [-65.22 (F/P, 10%, 8) - 0 (P/F, 10%, 8)]

EFW = 740.83

Therefore, the value of W that will render the equivalent future worth in year 8 equal to $−500 at an interest rate of 10% per year is $-65.22.

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Related Questions

5 divided by 4= 25 divided by x

wHAT IS X

Answers

Answer:

x=20

Step-by-step explanation:

so 5/4 is 1.25

so 25/x=1.25

so to find x we do 25/1.25

when we do that we get 20 so then to check if it's right we divide 25/20 and we get 1.25 so it's right

Answer:

yeet

Step-by-step explanation:

a first number is 6 more than a second number. the first number multiplied by 2 is 8 more than the second number. what are the two numbers? PLS HURRY

Answers

Answer:

-2 (negative 2)

Step-by-step explanation:

8÷2 =4

4-6 = -2

hope this helps

What is the area of this figure? 3 km 3 km 1 km 5 km 4 km 1 km 3 km 1 km Write your answer using decimals, if necessary. Square kilometers

Answers

To determine the area of this figure, we first need to identify its shape. From the given measurements, it appears to be a rectangle with two right-angled triangles on opposite corners.

Here are the steps to calculate the area:

1. Identify the base and height of the rectangle: The base is 5 km, and the height is 3 km.
2. Calculate the area of the rectangle: Area = base × height = 5 km × 3 km = 15 square kilometers.
3. Identify the base and height of the two right-angled triangles: Both triangles have a base of 1 km and a height of 1 km.
4. Calculate the area of one right-angled triangle: Area = 0.5 × base × height = 0.5 × 1 km × 1 km = 0.5 square kilometers.
5. Calculate the combined area of both right-angled triangles: 2 × 0.5 square kilometers = 1 square kilometer.
6. Add the area of the rectangle and the combined area of the triangles to get the total area: 15 square kilometers + 1 square kilometer = 16 square kilometers.

The area of the figure is 16 square kilometers.

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solve the system of equations algebraically -5x+2y=4 2x+3y=6

Answers

(-5x+2y=4).2
(2x+3y=6).5

-10x+4y=8
10x+15y=30

[10x+(-10x)]+[15y+4y]=[30+8]

19y=38

y=38/19

y=2

2x+3y=6
2x+3(2)=6
2x=6-6=0

x=0

Step-by-step explanation:

-5x+2y= 4         <==== Multiply entire equation by -3 to get:

15x-6y = -12  

2x+3y= 6          <====  Multiply entire equation by 2 to get :

4x+6y = 12    Add the two underlined equations to eliminate 'y'

19x = 0     so x = 0

sub in x = 0 into any of the equations to find:  y = 2

(0,2)

How do you solve this step by step?

-4(2x+5)-3=35

Answers

Answer:

x = -7.25

Step-by-step explanation:

multiply -4 by 2x + 5 = -8x - 20

-8x -20 -3 = 35

-8x - 23 = 35

-8x = 35 + 23

-8x = 58

x = 58 / -8

x = -7.25

HELP THIS IS EASY I JUST DONT UNDER STAND MATH ITS ON PERCETEGES

HELP THIS IS EASY I JUST DONT UNDER STAND MATH ITS ON PERCETEGES

Answers

Answer:

H 40%

Step-by-step explanation:

29+27+24=80

32/80=0.4

Answer:

Step-by-step explanation:

32/80 x 100 = 40%

What is the value of (m- n)(n+ m) when m=3 and n= 4?

Answers

Answer:

\(\boxed{-7}\)

Step-by-step explanation:

\(\sf (m- n)(n+ m)\)

\(\sf m=3\)

\(\sf n=4\)

___________________

\(\sf \left(3-4\right)\left(4+3\right)\)

Follow PEMDAS operations:

\(\sf \left(3-4\right)\)

\(\sf =-1\)

\(\sf \left(4+3\right)\)

\(\sf =7\)

\(-1\times \:7\)

\(\sf =-7\)

7(x+2)-5(x+3=9(4-x)

Answers

Answer:

x = 37/11

Step-by-step explanation:

7(x + 2) - 5(x + 3) = 9(4 - x)

=> 7x + 14 - 5x - 15 = 36 - 9x

=> 2x - 1 = 36 - 9x

=> 11x = 37

=> x = 37/11

Hoped this helped.

Simplify 8/-3 divided -4/9

Answers

Answer:

6

Step-by-step explanation:

Which of the following is equivalent to \(\sqrt{x} 12qr^{2}\)

Answers

The calculated value of the expression that is equivalent to √(x¹²qr²) is x⁶r√q

Calculating the expression that is equivalent to √(x¹²qr²)

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

√x12qr²

Express properly

So, we have

√(x¹²qr²)

Evaluating the expression in the brackets using the law of indices

So, we have

√(x¹²qr²) = x⁶r√(q)

Next, we open the brackets

This gives

√(x¹²qr²) = x⁶r√q

Hence, the expression that is equivalent to √(x¹²qr²) is x⁶r√q

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pLEASE HELP me this is due today and dont post links plz?

pLEASE HELP me this is due today and dont post links plz?

Answers

Answer:

35

Step-by-step explanation:

Add them together and then divide

Answer:

b + b + h + h

Step-by-step explanation:

You are finding the perimeter of the given rectangle. Note that by definition of a rectangle, the opposite parallel sides will have the same measurement. In this case, Terrance gives the expression of 2b + 2h, and so simply just expand the expression:

2b + 2h = b + b + h + h

~

Twice the difference of 3 and a number

Answers

Answer:

let the number be y .

\(2(3 - y)\)

What is 4 times 5 times 10

Answers

Answer:

200

Step-by-step explanation:

4x5+20    20x10=200

Have a wonderful day!

Answer:

200

Step-by-step explanation:

2 questions only, please help :)

2 questions only, please help :)

Answers

Answer:

yesno, 2y-x = -16

Step-by-step explanation:

standard form is:

Ax+By=C

for problem 2:

y= 1/2 x-8

y- 1/2 x - 8= 0

rearrange:

- 1/2x + y +8 = 0

2 (- 1/2x + y + 8) = 0

-x + 2y + 16= 0

-x + 2y = -16

leading coefficient can't be negative

so multiply everything by -1

x -2y = 16

Answer:

1 yes   no

Step-by-step explanation:

1 this is in standard form as it is  a linear form and the intercepts can be found  

2 This is not  in standard form as it is a linear equation and both the x and y intercepts cant  be found  so must be written in the form AX+BY=C

so

-x + 2y = -6

and leading coefficient cant be - so multiply by -1

so

x-2y=6

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAPHELP I NEED HELP

Answers

Answer:

its B

Step-by-step explanation:

Answer:

W(W+4) square feet

Step-by-step explanation:

The formula for the area of a rectangle Is lw, or length times width. If the length is 4 feet more than the width, then it's the width times the width plus 4.

what is 25 (10 + 50) - 25?

Answers

Answer:

Hey there!

25(10+50)-25

25(60)-25

1500-25

1475

Hope this helps :)

Answer:

The answer is

1475

Step-by-step explanation:

25 (10 + 50) - 25

Expand

250 + 1250 - 25

Simplify

We have the final answer as

1475

Hope this helps you

What is the diameter?

What is the diameter?

Answers

Answer:

You need a bigger picture of the circle but to get the answer just take the radius (the number given in the circle) and multiply it by 2

Step-by-step explanation:

Hope this helps!

what is the quotient? x2-10x+25/(x-5)(x+5)

what is the quotient? x2-10x+25/(x-5)(x+5)

Answers

Answer:-2.3,11.,11.,-0.25 or  x2 - 10x - 25- -5

Step-by-step explanation:

u just go in a TI-nspire CX calculator and type in in how it looks

Rewrite, using the distributive
property.
16b-8b = ([?]-8)b = [?]b

Rewrite, using the distributiveproperty.16b-8b = ([?]-8)b = [?]b

Answers

Answer:

8b

Step-by-step explanation:

You can factor the b-term out since b-term exists for all terms in the expression. By factoring out, you are basically dividing the factored term off and put it outside of the bracket, thus:

\(\displaystyle{16b-8b=\left(16-8\right)b}\)

Then evaluate and simplify:

\(\displaystyle{\left(16-8\right)b=8\cdot b}\\\\\displaystyle{=8b}\)

If the number of bacteria on the surface of your phone triples every hour and can be described by the exponential function: f(x)=1000x3^x
, complete the table of values to show how much bacteria is on your phone after 4 hours.

If the number of bacteria on the surface of your phone triples every hour and can be described by the

Answers

Answer: 81,000

Step-by-step explanation:

We can solve this by using the formula given.

If f(1)=1000x3^1, then 1,000x3=3,000

If f(2)=1000x3^2, then 3^2=9 and 1000x9=9000,

and so on,

Now, f(4) will equal 1000x3^4, and 3^4 is 3x3x3x3, which is 9x9 or 9^2, which would be equal to 81, and 81x1000=81,000

To complete the table of values for the exponential function f(x) = 1000*3^x, we can evaluate the function for x = 0, 1, 2, 3, and 4, since we are interested in the number of bacteria on the phone after 4 hours.

x f(x)

0 1000

1 3000

2 9000

3 27,000

4 81,000

Therefore, after 4 hours, there will be 81,000 bacteria on the surface of the phone, assuming the number of bacteria triples every hour and can be described by the exponential function f(x) = 1000*3^x.

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What is the amplitude of the graph below

What is the amplitude of the graph below

Answers

The amplitude is 3

for a sine graph, the amplitude is the distance up or down from the midway point. The equation to find the amplitude is (max-min) / 2.

(3 - (-3)) / 2 = 3

Can somebody plz help solve each questions for what it equals correclty thanks so much :3

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST !!:DD

Can somebody plz help solve each questions for what it equals correclty thanks so much :3 WILL MARK BRAINLIEST

Answers

25.) m = 32

26.) p = 42

27.) r = 24

28.) x = 45

21 1/2% of 250 is what number?

Answers

Answer: 52.5

Percentage Calculator: What is 21 percent of 250? = 52.5.

Step-by-step explanation:

Answer:

1.25

Step-by-step explanation:

9. the square footage and monthly rental of 15 similar one-bedroom apartments yield the linear


regression formula y = 1.3485x + 840.51, where x represents the square footage and y represents


the monthly rental price. round answers to the nearest whole number.

Answers

Based on the linear regression formula y = 1.3485x + 840.51, you can calculate the monthly rental price (y) for a one-bedroom apartment by plugging in the square footage (x) of the apartment.

The linear regression formula for the 15 similar one-bedroom apartments is y = 1.3485x + 840.51, where x represents the square footage and y represents the monthly rental price. This means that for every square foot increase in the apartment size, the monthly rental price is predicted to increase by $1.35.

The y-intercept of the formula is $840.51, which represents the predicted monthly rental price for an apartment with 0 square footage (this is not possible in reality, but is used in the formula for mathematical purposes). To get the rental price, round your answer to the nearest whole number. For example, if an apartment has 500 square feet, you'd calculate: y = 1.3485(500) + 840.51 ≈ 1344.76, which rounds to $1,345 as the monthly rental price.

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test algebraically whether the graph is symmetric with respect to the x-axis, the y-axis, and the origin. then check the work graphically, if possible, using a graphing calculator. 9x^2-4y^2=5

Answers

To test algebraically whether the graph of the equation 9x^2 - 4y^2 = 5 is symmetric with respect to the x-axis, y-axis, and the origin, we can substitute -x, -y, and (-x, -y) respectively into the equation and observe if it remains unchanged.

1. Symmetry with respect to the x-axis:

Replace y with -y:

9x^2 - 4(-y)^2 = 5

9x^2 - 4y^2 = 5

The equation remains unchanged, indicating symmetry with respect to the x-axis.

2. Symmetry with respect to the y-axis:

Replace x with -x:

9(-x)^2 - 4y^2 = 5

9x^2 - 4y^2 = 5

The equation remains unchanged, indicating symmetry with respect to the y-axis.

3. Symmetry with respect to the origin:

Replace x with -x and y with -y:

9(-x)^2 - 4(-y)^2 = 5

9x^2 - 4y^2 = 5

The equation remains unchanged, indicating symmetry with respect to the origin. To verify the algebraic results graphically, you can plot the graph of the equation using a graphing calculator or software. If the graph is symmetric with respect to the x-axis, y-axis, and the origin, it will appear identical when reflected across these axes or rotated by 180 degrees around the origin.

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what is the expression in factored form? 9x2 - 12x + 4

Answers

Mark as brainliest if this helped

Peace

what is the expression in factored form? 9x2 - 12x + 4

How do I correctly do this?

How do I correctly do this?

Answers

Answer:

you put a curcle on positive two and then make a line and move it backwards, towards the negativs.

Step-by-step explanation:

Answer:

1.)Put your open circle on the 2

2.) The way the arrow is pointing is to the left. So you whouldput the line on the left.

3.) It should look something like this: <--------------2) on the number line

I hope i helped

Step-by-step explanation:

Jaime will choose between two banquet services for a party. Service A charges a $ 500 organization fee plus $ 25 for each guest. Service B charges a $ 200 organization fee plus $ 30 for each guest. what is the cost of one guest?

Answers

Answer:

Service B

Step-by-step explanation:

Beacuse it is taking less money

Express f(x) = log(100) in the general form of a logarithmic function, g(x) = k + a log b(r – h).

Answers

The logarithmic equation f(x) = log(100) in the form g(x) = k + a log b(r – h) is f(x) = 0 + 2log(10 - 0)

How to rewrite the logarithmic equation?

The equation is given as:

f(x) = log(100)

Express 100 as 10^2

f(x) = log(10^2)

Apply the law of logarithm

f(x) = 2log(10)

Subtract 0 from 10

f(x) = 2log(10 - 0)

Add 0 to the equation

f(x) = 0 + 2log(10 - 0)

Hence, the logarithmic equation f(x) = log(100) in the form g(x) = k + a log b(r – h) is f(x) = 0 + 2log(10 - 0)

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Whats a negative number that has an absolute value greater than 10

Answers

Answer:

-11

Step-by-step explanation:

Absolute value means the distance from 0 so in this case, anything that is 10+ from 0 will work

Answer:

-11

Step-by-step explanation:

The absolute value of -11 is 11, and that is greater than 10.

I hope you enjoyed the answer, and if it was helpful, please mark this as brainliest! Thank you! :)

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