1. **State the problem:** You took a loan of 30000 with a monthly interest rate of 10%. You want to find out how much you will have to pay after 4 months. 2. **Formula used:** The amount to pay after $n$ months with monthly compound interest is given by: $$ A = P(1 + r)^n $$ where: - $A$ is the amount to pay after $n$ months - $P$ is the principal amount (initial loan) - $r$ is the monthly interest rate (in decimal) - $n$ is the number of months 3. **Apply the values:** - $P = 30000$ - $r = 10\% = 0.10$ - $n = 4$ 4. **Calculate:** $$ A = 30000(1 + 0.10)^4 = 30000(1.10)^4 $$ 5. **Evaluate $(1.10)^4$:** $$ (1.10)^4 = 1.10 \times 1.10 \times 1.10 \times 1.10 = 1.4641 $$ 6. **Final amount:** $$ A = 30000 \times 1.4641 = 43923 $$ **Answer:** After 4 months, you will have to pay 43923.