45. A company has $50,000 today to invest in a fund that will earn 7%. How much will the fund contain at the end of eight years?
46. Troy has $105,000 now. He has a loan of $175,000 that he must pay at the end of five years. He can invest his $105,000 at 10% interest compounded semiannually. Will Troy have enough to pay his loan at the end of the five years?
47. Madera Iron Sculpting is planning to save the money needed to replace one of its robotic welders in five years by making a one-time deposit of $20,000 today and four yearly contributions of $5,000 beginning at the end of year 1. The deposits will earn 10% interest. How much money will Sierra have accumulated at the end of five years to replace the welder?
48. A company borrows money from the bank by promising to make six annual year-end payments of $25,000 each. How much is the company able to borrow if the interest rate is 9%?
49. A company borrows money from the bank by promising to make eight semiannual payments of $9,000 each. How much is the company able to borrow if the interest rate is 10% compounded semiannually?
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