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# Gen is interested in seeing how the money grows. Her mom suggests that she take the money in her piggy bank....

Gen is interested in seeing how the money grows. Her mom suggests that she takes the money in her piggy bank and deposits it in a local bank paying 8.5% compounded quarterly. IF she finds \$700 in the piggy bank, how much will it grow to in 10 years?

would i multiply the 8.5% by 4 then use the FV formula?

### 2 Answers by Expert Tutors

Jason T. | Jason Tutors Math & PhysicsJason Tutors Math & Physics
4.9 4.9 (149 lesson ratings) (149)
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Remember that the formula for interest problems is: A = P(1+(i/n))nt

where A = amount
i = annual interest rate
n = number of times compounded per year
t = number of years

In this problem P = 700, i = 0.085, n = 4 (quarterly), and t = 10

So, the equation becomes  A = 700(1 + (0.085/4))4*10

Kirill Z. | Physics, math tutor with great knowledge and teaching skillsPhysics, math tutor with great knowledge...
4.9 4.9 (174 lesson ratings) (174)
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If 8.5% is the APR, annual percentage rate, then the total sum after 10 years will be
S=\$700*(1+0.085/4)4*10=\$1,623.23
If it is the interest rate in one quarter, then
S=\$700*(1+0.085)4*10=\$18,293.11