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9. [-11 Points] LARAPCALC1O 6.1.064. The board of trustees of a college is planning a ve-year capital gifts campaign to raise money,r for the college.
9. [-11 Points] LARAPCALC1O 6.1.064. The board of trustees of a college is planning a ve-year capital gifts campaign to raise money,r for the college. The goal is to have an annual gift income I that is modeled by [25 IR 1' = 2000(375 fe0'"). o where t is the time in years. (Round your answers to two decimal places.) {a} Use a graphing utility to decide whether the board of trustees expect the gift income to increase or decrease over the fivervear period. The board of trustees expects the gift income to -Select--v over the ve-year period. {o} Find the expected total gift income over the fiveryear period. $ -'c]I Determine the average annual gift income over the five-year period. SUDlTIil AHEWET 10. [-r'1 Points] DETAILS LARAPCALC1O 6.1.070. Find the present value of the income c (in dollars] over ['1 years at the given annual ination rate r. [Round your answer to two decimal places.) c = 26,000 + SOOt, r = 6%, t1 = 5 years SUDlTIil Answer 11. [-I1 Points] LARAPCALC106.1.076. A professional athlete signs a two-year contract in which the earnings c can be modeled by 2,4DO.DOD + QGDJODGt, where t represents the year. (a) Find the actual value of the athlete's contract in dollars. $ (b) Assuming an annual ination rate of 4%, what is the present value of the contract in dollars? (Round your answer to the nearest cent.) 35
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