# Math

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Suppose Kevin and Jill both deposit \$4000 into their personal accounts. If Kevin’s account earns 5% simple interest annually and Jill’s earns 5% interest compounded annually, how much will each account balance show at the end of 5 years? Calculate the difference between each account

• Math -

Kevin's Account:
Pt = Po + Po*r*t.
Pt = 4000 + 4000*0.05*5 = \$5000.

Jill's Account:
Pt = Po(1+r)^n.
r = 5%/100% = 0.05 = APR expressed as a decimal.
n = 1comp/yr * 5yrs = 5 Compounding
periods.

Pt = 4000(1.05)^5 = \$5105.13.

Diff. = 5105.13 - 5000 = \$105.13.

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