Answer:
Explanation:
To solve this problem, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where A is the maturity value of the loan, P is the principal (the amount borrowed), r is the annual interest rate (12% in this case), n is the number of times the interest is compounded per year (12 for monthly compounding), and t is the time period in years (6 years in this case).
(a) To find the maturity value of the loan, we can substitute the given values into the formula and solve for A:
A = 9000(1 + 0.12/12)^(12 x 6)
A = 9000(1.01)^72
A = 18,137.60
Therefore, the maturity value of the loan is $18,137.60.
(b) To find the amount of interest paid on the loan, we can subtract the principal from the maturity value:
Interest = A - P
Interest = 18,137.60 - 9000
Interest = 8,137.60
Therefore, the amount of interest paid on the loan is $8,137.60.