Barber Dunn
02/08/2024 · Junior High School

If monthly payments are made for 30 years, find the value for \( n \) in the following future value ordinary annuity formula. \[ F V=P\left(\frac{(1+i)^{x}-1}{t}\right) \] a. (360) b. (12) c. \( (30) \) d. \( \left(\frac{30}{12}\right) \)

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In the future value ordinary annuity formula given by \[ FV = P\left(\frac{(1+i)^{x}-1}{t}\right), \] the variable \( n \) typically represents the total number of payment periods. For monthly payments over 30 years, we need to calculate the total number of months (payment periods) in 30 years: \[ n = 30 \text{ years} \times 12 \text{ months/year} = 360 \text{ months}. \] Thus, the value for \( n \) in this context is: **a. (360)**.

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n = 360 months
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