The formula A=P(1+r)^2 gives the amount A in dollars that P dollars will grow to in 2 years at interest rate r (where r is given as a decimal), using compound interest. What interest rate will cause $5000 to grow to $5618.00 in 2 years?
The interest rate is ___%
The interest rate is ___%

5618 = 5000*(1 + i)^2
5618/5000 = (1 + i)^2
1.1236 = (1 + i)^2
ln(1.1236) = 2*ln(1 + i)
ln(1 + i) = ln(1.1236)/2
ln(1 + i) = 0.0582689081
antiln(1 + i) = antiln(0.0582689081)
1 + i = 1.06
i = 0.06*100 = 6%
5618/5000 = (1 + i)^2
1.1236 = (1 + i)^2
ln(1.1236) = 2*ln(1 + i)
ln(1 + i) = ln(1.1236)/2
ln(1 + i) = 0.0582689081
antiln(1 + i) = antiln(0.0582689081)
1 + i = 1.06
i = 0.06*100 = 6%

Set up an equation to solve for r
5618.00 = 5000(1 + r)^2
1.1236 = (1 + r)^2
1.06 = 1 + r
r = .06
r = 6%
5618.00 = 5000(1 + r)^2
1.1236 = (1 + r)^2
1.06 = 1 + r
r = .06
r = 6%