1. **Problem statement:** Amir saves 250 at the end of every month for 6 years in an account earning 2.75% interest compounded monthly. We need to calculate the accumulated amount at the end of 6 years. 2. **Identify variables:** - Monthly payment, $P = 250$ - Annual interest rate, $r = 2.75\% = 0.0275$ - Monthly interest rate, $i = \frac{0.0275}{12} = 0.0022917$ - Number of months, $n = 6 \times 12 = 72$ 3. **Formula for future value of an ordinary annuity:** $$FV = P \times \frac{(1+i)^n - 1}{i}$$ 4. **Calculate:** $$FV = 250 \times \frac{(1+0.0022917)^{72} - 1}{0.0022917}$$ Calculate $(1+0.0022917)^{72}$: $$ (1.0022917)^{72} \approx 1.1749 $$ Then: $$FV = 250 \times \frac{1.1749 - 1}{0.0022917} = 250 \times \frac{0.1749}{0.0022917}$$ Calculate the fraction: $$ \frac{0.1749}{0.0022917} \approx 76.34 $$ Finally: $$FV = 250 \times 76.34 = 19085$$ 5. **Answer:** The accumulated amount at the end of 6 years is approximately 19085.