On January 1, 2006, a graduate student developed a 5-year financial plan which would provide enough money at the end of her graduate work (January 1, 2011) to open a business of her own. Her plan was...

On January 1, 2006, a graduate student developed a 5-year financial plan which would provide enough money at the end of her graduate work (January 1, 2011) to open a business of her own. Her plan was to deposit $8,000 per year for 5 years, starting immediately, into an account paying 10 percent compounded annually. Her activities proceeded according to plan except that at the end of her third year (1/1/09) she withdrew $5,000 to take a Caribbean cruise, at the end of the fourth year (1/1/10) she withdrew $5,000 to buy a used Prelude, and at the end of the fifth year (1/1/11) she had to withdraw $5,000 to pay to have her dissertation typed. Her account, at the end of the fifth year, was less than the amount she had originally planned on by how much?