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Kaitlyn is interested in saving for her retirement. Kaitlyn is currently 52 years old today. She started saving for her retirement on her 23rd birthday,

Kaitlyn is interested in saving for her retirement. Kaitlyn is currently 52 years old today. She started saving for her retirement on her 23rd birthday, when she received a $40,000 gift from her aunt for graduating university, and deposited the money in an investment account. Every year thereafter, Kaitlyn added $3,000 to the account. (The first $3,000 contribution was made on her 24th birthday and the 29th $3,000 contribution was made today on her 52nd birthday.) She estimates that she will need to withdraw $100,000 from the account 3 years from now, to help pay for college expenses for her children. She will make a total of 6 more yearly deposits, each of which is $6,000, the first of which will take place on her 62nd birthday. How much money will be in the account when she retires on her 67th birthday? Assume that the investment account earns 9% per year.

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