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2. After graduation, you plan to work for Tesla for 12 years and then start your own business. You expect to save and deposit $16,000

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2. After graduation, you plan to work for Tesla for 12 years and then start your own business. You expect to save and deposit $16,000 a year for the first 6 years ( t=1 through t=6 ) and $5,300 annually for the following 6 years ( t=7 through t=12 ). The first deposit will be made a year from today. In addition; your grandfather just gave you a $30,000 graduation gift which you will deposit immediately (t=0). However. you get hit by an unexpected bill at t=7 and t=8 for $13,000 and $15,000, respectively. If the account earns 6% compounded annually, how much will you have when you start your business 12 years from now? (20 points; Show all your work for partial credit. Note that correct answers without any work will be rewarded ZERO, no exceptions.)

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