annataylor3 annataylor3
  • 24-04-2020
  • Mathematics
contestada

You deposit $200 in an account earning 3% interest compounded
annually. How much will you have in the account in 10 years?

Respuesta :

qop
qop qop
  • 27-04-2020

Answer:

$268.78

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

First, change 3% into its decimal form:

3% -> [tex]\frac{3}{100}[/tex] -> 0.03

Now, plug in the values:

[tex]A=200(1+\frac{0.03}{1})^{1(10)}[/tex]

[tex]A=268.78[/tex]

After 10 years, you will have $268.78

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