A question is a compound interst related problem for finiancial calculation.?

I need $ 15000 after 5 years and I can deposit $ 10200 right now. At what compounded interest rate I should deposit my amount($10200) in bank that I could get $ 15000 after 5 years.

Answer:
A little over 9% compounded annually. (Actually about 9.8%, I did this in my head) and that is quite high, you'll need another investment to yield that high of a return

I'm wondering how the math was done with the answers that gave 8.1% as an answer. I did this in my head but we disagree on almost a full interest point. The return is $4800. And now the calculator shows $10,200 X 9.5% is $4845 which is how I believe I was taught to figure interest. Can someone explain the discrepancy before I really have to get left brained? Math not my strongest subject but this is just simple interest.
Yes.
Let me know what bank you do because that is about 9%
8.01851873%

you can check my answer by doing:

10200 X (1.0801851873)^5=15000

I am sorry to say, only in a finance book can you yield that high of a return on a savings, virtually impossible on the Planet Earth.
PresentValue: $10200
Future Value: $15000
Length of Investment: 5
Interest Rate: 8.01085188%

FV = PV * [( 1 + r )n]

15000 = 10200 [( 1 + .080185188)5]
15000 = 10200 [( 1.080185188)5]
15000 = 10200 ( 1.47058824 )

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