Find the number of interest periods required to achieve the conditions set forth. A = $5,000 P = $2,000 interest is 5% compounded semiannually

The formula is

A=p (1+r/k) ^n

A 5000

P 2000

R interest rate 0.05

K compounded semiannually 2

N number of interest periods=kt = 2t

5000=2000 (1+0.05/2) ^2t

Solve for t

5000/2000 = (1+0.05/2) ^2t

Log (5000/2000) = 2t*log (1+0.05/2)

2t=Log (5000/2000) : log (1+0.05/2)

T = (log (5,000:2,000) : log (1+0.05:2)) : 2

T=18.55 years round your answer to get 19 years

So the number of interest periods required to achieve the conditions set forth is

N=kt

N=2*19

N=38