Will is w years old Ben is 3 years older Write an expression, in terms of w, for bens age

If 10000 is invested at an interest rate of 10 per year ,compound semiannually,find the value of the investment after the given

slega [8]

Answer:

Part a) $\$17,958.56$

Part b) $\$32,251.00$

Part c) $\$57,918.16$

Step-by-step explanation:

The complete question is

If $10,000 is invested at an interest rate of 10% per year, compounded semiannually, find the value of the investment after the given number of years. (Round your answers to the nearest cent.)

a)6 years

b)12 years

c)18 years

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

Part a) 6 years

we have

$t=6\ years\\ P=\$10,000\\ r=10\%=10/100=0.10\\n=2$

substitute in the formula above

$A=10,000(1+\frac{0.10}{2})^{2*6}$

$A=10,000(1.05)^{12}$

$A=\$17,958.56$

Part b) 12 years

we have

$t=12\ years\\ P=\$10,000\\ r=10\%=10/100=0.10\\n=2$

substitute in the formula above

$A=10,000(1+\frac{0.10}{2})^{2*12}$

$A=10,000(1.05)^{24}$

$A=\$32,251.00$

Part c) 18 years

we have

$t=18\ years\\ P=\$10,000\\ r=10\%=10/100=0.10\\n=2$

substitute in the formula above

$A=10,000(1+\frac{0.10}{2})^{2*18}$

$A=10,000(1.05)^{36}$

$A=\$57,918.16$

7 0

4 years ago

Choose the two number sentences that are true.

Inessa05 [86]

Answer:

D

because 12+7=19

5+14=19

3 0

3 years ago

A recipe requires 1/3 cup of milk for each 1/4 cups of water.How many cups of water are needed for each cup of milk

Afina-wow [57]

3/4 cups of water fore each cup

4 0

3 years ago

Read 2 more answers

Irrational numbers can never be precisely represented in decimal form. why?

Rus_ich [418]

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5 0

4 years ago

Cindy jarred 30 liters of jam after 3 days. How much jam did Cindy jar if she spent 10 days making jam? Solve using unit rates.

eduard

30 liters after 3 days means 10 liters in one day so after 6 days she jarred 60 liters then after 9 days she jarred 90 liters then after the tenth day she jarred 100 liters

hope this helps

8 0

3 years ago