Nancy plans to deposit $1,000 quarterly for 35 years at 8.25% Interest, compounded monthly. How much will she have in the account in 35 years?

$17,771.92

Step-by-step explanation:

A = P (1 + r/n)^nt

A = Future value (the answer you're trying to find)

P = Initial deposit ($1000)

R = Interest rate (8.25%; this will be represented as a decimal in the equation (.0825))

N = # of times interest is compounded per unit t (12)

T = Time (35)

35 * 12 = 420

1000 (1 + .0825/12)^420

1000(1.006875)^420

1000*17.77191635

A = $17,771.92 (rounded to the nearest hundredths)