nicholemartinez89
nicholemartinez89 nicholemartinez89
  • 25-04-2020
  • Mathematics
contestada

If the present value of my investment is $8,000 and the rate of interest is 12% compounded annually, what will the value be after 7 years?​

Respuesta :

qop
qop qop
  • 28-04-2020

Answer:

$17,685.45

Step-by-step explanation:

We will use the compound interest formula to solve this:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

The first step is to change 12% into a decimal:

12% -> [tex]\frac{12}{100}[/tex] -> 0.12

Next, lets plug in the values:

[tex]A=8,000(1+\frac{0.12}{1})^{1(7)}[/tex]

[tex]A=17,685.45[/tex]

After 7 years, you will have $17,685.45

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