tamika opened a money market account that has a 4.25% annual interest rate, compounded annually. She deposits $1750 into the account each year. How much interest will the account earn after 15 years?

tamika opened a money market account that has a 425 annual interest rate compounded annually She deposits 1750 into the account each year How much interest will class=

Respuesta :

To answer this question you will need to be able to calculate compound interest.  The following formula can be used to do this:

A = P(1 + r/n)^nt

A stands for the amount you will have after a period of time.
P stands for the Principal; $1750 in this case
r/n stands for the rate over the number of times the interested is compounded per year (in your case, it will be 0.0425/1)
^nt stands for "to the power of" the number of years you will be compounding the interest.  In this case it is 15

Let's put it all together:
 A = 1750 (1+0.0425/1)^15
A = $3267.22 is approximately the new amount after 15 years

$3267.22-$1750 = $1517 is the interest accrued