1. **State the problem:** Jevonte needs to find the monthly payment $M$ for a loan of $P=23000$ with a monthly interest rate $r=0.00325$ (0.325%) over $n=6 \times 12=72$ months.
2. **Formula:** The monthly payment is given by
$$M=\frac{P r (1+r)^n}{(1+r)^n - 1}$$
where $P$ is the principal, $r$ is the monthly interest rate, and $n$ is the total number of payments.
3. **Calculate $(1+r)^n$:**
$$1+r=1+0.00325=1.00325$$
$$1.00325^{72} \approx 1.2567$$
4. **Substitute values into the formula:**
$$M=\frac{23000 \times 0.00325 \times 1.2567}{1.2567 - 1}$$
5. **Simplify numerator and denominator:**
$$\text{Numerator} = 23000 \times 0.00325 \times 1.2567 = 23000 \times 0.004083775 = 93.926825$$
$$\text{Denominator} = 1.2567 - 1 = 0.2567$$
6. **Calculate monthly payment:**
$$M=\frac{93.926825}{0.2567} \approx 366.1$$
7. **Round to nearest dollar:**
$$M \approx 366$$
**Final answer:** Jevonte's monthly payment is **366** dollars.
Monthly Payment E6057A
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