Respuesta :

Answer:

The amount after 8 years is $19249.17

Step-by-step explanation:

For any calculation for investments there si the compound interest formula:

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

Where

P = principal amount (the initial amount you borrow or deposit)

r  = annual rate of interest (as a decimal)

t  = number of years the amount is deposited or borrowed for.

A = amount of money accumulated after n years, including interest.

n  =  number of times the interest is compounded per year  

So for this example

P, the original amount ($14000)

r, 4%

t, 8 years

A, the amount after 8 years

n, 4, due that is quarterly

[tex]P=$14000(1+((4/100)/(4)))^(4*8)\\\\P= $19249.17[/tex]