angelica reardon received a 4 year non subsidized student loan of 17 000 at an annual interest rate of 6 6 what are angeli
Question
Angelica Reardon received a 4-year non-subsidized student loan of $17,000 at an annual interest rate of 6.6%. What are Angelica's monthly loan payments for this loan after she graduates in 4 years? (Round your answer to the nearest cent.)
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Answer to a math question Angelica Reardon received a 4-year non-subsidized student loan of $17,000 at an annual interest rate of 6.6%. What are Angelica's monthly loan payments for this loan after she graduates in 4 years? (Round your answer to the nearest cent.)
1. Calculate the monthly interest rate \dfrac{r}{n} :
\dfrac{0.066}{12} = 0.0055 .
2. Calculate the total number of payments n \cdot t :
12 \cdot 4 = 48 .
3. Apply the values to the formula:
M = \dfrac{17,000 \cdot 0.0055}{1 - (1 + 0.0055)^{-48}} .
4. Calculate the denominator:
1 - (1.0055)^{-48} .
5. Calculate the numerator:
17,000 \cdot 0.0055 \approx 93.5 .
6. Combine and solve the expression:
M=\dfrac{93.5}{1 - (1.0055)^{-48}}\approx403.94 .
Answer: M\approx403.94
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