Respuesta :

Answer:

Half a year (6 months)

Step-by-step explanation:

Simple interest is based on the principal amount of a loan or deposit, whereas compound interest is based on the principal amount and the interest that accumulates on it in every period.

Simple Interest = P x r x n

where P = Principal amount, r = Annual interest rate, n = Term, in years​

9% = 9 ÷ 100 = 0.09  so r = 0.09

Therefore,  

Simple Interest = P x r x n

8100 = 180000 x 0.09 x n

8100 = 16200n

     n = 0.5

Therefore, he will earn N8100 in interest on an initial investment of N180,000 at 9% simple interest over half a year