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qwelly [4]
4 years ago
10

Lucas will receive one time cash flows of 7100, 8700 and 12500 at the end of years 1,2, and 3 respectively. What’s is the future

value of these cash flows at the end of year five if he interest rate is 9%?
Mathematics
1 answer:
irga5000 [103]4 years ago
3 0
The future value of this amounts after 5 years in the order they will be recieved will be:
FV=p(1+r/100)^n

a. $7100
FV=7100(1+9/100)^5
FV=7100(1.09)^5
FV=$10,924.23

b.$8700
FV=8700(1+9/100)^5
FV=8700(1.09)^5
FV=$ 13,386.03

c. $12500
FV=12500(1+9/100)^5
FV=12500(1.09)^5
FV=$19,232.80
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The length of a rectangle is three inches more than the width. the area of the rectangle is 180 inches. find the width of the re
ch4aika [34]

We have a rectangle with length L that is 3 inches more than the width W. Then we can write this as:

L=W+3

The area of the rectangle is 180 square inches.

We have to find the width W.

As the area is equal to the product of the length and the width, we can write this equation and solve for W as:

\begin{gathered} A=180 \\ L\cdot W=180 \\ (W+3)\cdot W=180 \\ W^2+3W=180 \\ W^2+3W-180=0 \end{gathered}

We have a quadratic equation. The roots of this equation will be the mathematical solutions.

We can find the roots using the quadratic formula:

\begin{gathered} W=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ W=\frac{-3\pm\sqrt[]{3^2-4\cdot1\cdot(-180)}}{2\cdot1} \\ W=\frac{-3\pm\sqrt[]{9+720}}{2} \\ W=\frac{-3\pm\sqrt[]{729}}{2} \\ W=\frac{-3\pm27}{2} \\ W_1=\frac{-3-27}{2}=-\frac{30}{2}=-15 \\ W_2=\frac{-3+27}{2}=\frac{24}{2}=12 \end{gathered}

The solutions are W = -15 and W = 12.

The first one is not valid, as W has to be greater than 0.

Then, the solution to our problem is W = 12 in.

Answer: the width is W = 12 inches.

6 0
1 year ago
Hey guys i need your help what is 89 dividedby 2,908
Ivan

Answer:

The answer is 32.6741573034

Step-by-step explanation:

8 0
4 years ago
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laura has 160 pounds of green beans at her vegetable stand. she sells 10 pounds of green beans every hour, what is the percent d
ycow [4]

Answer:

18.75%

Step-by-step explanation:

Green beans = 160 pounds

Amount sold in 1 hour = 10 pounds

Amount sold in 3 hours = 3x10= 30 pounds

Decrease in 3 hours = 30 pounds

% decrease = (30/160) x 100

=300/16

=75/4

=18.75%

7 0
3 years ago
-2x+4=15 what is the value of x
kifflom [539]

Answer:

-5½

Step-by-step explanation:

-2x = 11

x = -11/2

x = -5½

6 0
3 years ago
What number is 60% of 98
Shkiper50 [21]

Answer:

The number is 58.8

Step-by-step explanation:

Let

x -----> the number

we know that

The number 98 represent the 100%

so

using proportion

Find out what number represent the 60% of 98

\frac{98}{100\%}=\frac{x}{60\%}\\\\x=98(60\%)/100\%\\\\x=58.8

7 0
3 years ago
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