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What was the account balance at the end of the tenth year

Problem: Mary established a savings account for her son's college education by making annual deposits of $6,000 at the beginning of each of six years to a savings account paying 8%. At the end of the sixth year, the account balance was transferred to a bank paying 10%, and annual deposits of $6,000 were made at the end of each year from the seventh through the tenth years. What was the account balance at the end of the tenth year?

Could you please show in detail how to compute this manually.

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## Q : Time value of money for a college education

Using an interest rate of 8% how much Paul must save annually to provide for his retirement and his son's college education?