A deposit of $90 is placed into a college fund at the beginning of every week for 5 years. The fund earns 3% annual interest, compounded weekly, and paid at the end of the week. How much is in the account right after the last deposit

$25,249.50

Explanation:

Deposit at the beginning of every 6 month (A) = 90

Time period (t) = 5

n = 52

Rate (r) = 3% = 0.03

So, the net amount in the account right after the last deposit is as follows:

= A * [(1+r/n)^(n*t) - 1 / r/n] * (1 + r/n)

= 90 * [(1+0.03/52)^(52*5) - 1 / 0.03/52] * (1 + 0.03/52)

= 90 * [(1.16178399147 - 1 / 0.000577] * (1+0.000577)

= 90 * 280.3882 * 1.000577

= 25249.498559226

= $25,249.50

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