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Agnes buys a new washer and dryer for $1,590. She finances her purchase with a 2-year, fixed-rate loan with an annual interest rate of 4.2% Which equation correctly calculates Agnes's monthly payment ?

1 Answer

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Answer: $69.99

Explanation:

M = P * r * (1 + r)^n / ((1 + r)^n - 1)

Where:

M is the monthly payment,

P is the principal amount (the total cost of the washer and dryer),

r is the monthly interest rate (the annual interest rate divided by 12),

and n is the total number of payments (the number of years multiplied by 12).

P = $1,590

r = 4.2% / 100 / 12 (convert the annual interest rate to a monthly rate)

n = 2 * 12 (2 years multiplied by 12 months)

M = 1590 * (0.042 / 12) * (1 + 0.042 / 12)^(2 * 12) / ((1 + 0.042 / 12)^(2 * 12) - 1)

After performing the calculations, the monthly payment comes out to be approximately $69.99.

Therefore, the equation that correctly calculates Agnes's monthly payment is:

M = $69.99

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