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3. (9 pts) You find out that in the year 1920, an ancestor of yours invested 100 dollars at 4 percent annual interest, compounded yearly.

3. (9 pts) You find out that in the year 1920, an ancestor of yours invested 100 dollars at 4 percent annual interest, compounded yearly. You happen to be her sole known descendant and in the year 2022 you collect the accumulated sum. (a) What is the sum you collect? (b) If it is compounded continuously, what is the sum you collect? (c) Write down the differential equation that the balance function satisfy

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