43. A small business owner invests \$20,000 of personal savings and takes a bank loan of \$30,000 to expand. The loan carries 10\% interest compounded annually for 3 years. What will be the total cost of the loan by the end of the term?
Key Concept: Capital, Bank loans, Business expansion
c) \$39,930
[Solution Description]
Use the compound interest formula:
$A = P \left(1 + r\right)^t$
Here, $P = \$30,000$, $r = 10\% = 0.10$, $t = 3$ years.
$A = 30000 \times (1 + 0.10)^3 = 30000 \times 1.331 = \$39,930$
Total cost of the loan includes the principal and interest:
$\text{Total Cost} = 39930 - 30000 = \$9,930$
However, the question asks for the total amount to be repaid, which is \$39,930.
Your Answer is correct.
c) \$39,930
[Solution Description]
Use the compound interest formula:
$A = P \left(1 + r\right)^t$
Here, $P = \$30,000$, $r = 10\% = 0.10$, $t = 3$ years.
$A = 30000 \times (1 + 0.10)^3 = 30000 \times 1.331 = \$39,930$
Total cost of the loan includes the principal and interest:
$\text{Total Cost} = 39930 - 30000 = \$9,930$
However, the question asks for the total amount to be repaid, which is \$39,930.