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Document containing solved mathematics
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To calculate the required annual deposit A, we can use the formula for the future value of an annuity. Future Value = Where: A = Annual Deposit r = Interest Rate per period n = Number of periods
In this case, the interest rate is 10% per year, compounded annually. The number of periods is 18 (from the 2nd birthday to the 19th birthday).
Using the formula, we can set up the equation:
Now we can solve for A: A=548.
Therefore, the required annual deposit A is approximately $548.