Solve the problem.The sales tax on a freezer is $32.89 and the sales tax rate is 5%. Find the purchase price (the price before taxes are added). Round your answer to the nearest cent.
A. $65.78
B. $657.80
C. $548.17
D. $822.25
Answer: B
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Solve.The monthly payment p on a mortgage varies directly with the amount borrowed b. Suppose that you decide to borrow $120,000 using a 30-year mortgage. You are told that your monthly payment is $674.44. Write a linear function that relates the monthly payment p to the amount borrowed b for a mortgage with the same terms.
A. p(b) = 0.0061313b B. p(b) = 119,325.56b C. p(b) = 177.93b D. p(b) = 0.0056203b
Solve the problem.A rectangular sign is being designed so that the length of its base, in feet, is 18 feet less than 4 times the height, h. Express the area of the sign as a function of h.
A. A = -18h + h2 B. A = 18h - 2h2 C. A = -18h2 + 2h D. A = -18h + 4h2
Solve the problem. Express your answer in scientific notation, rounding as needed.Assume that the volume of the earth is 5 × 1014 cubic meters and the volume of a bacterium is 
cubic meters. If the earth could be filled with bacteria, how many would it contain?
A. 2.0 × 10-30 bacteria B. 5.0 × 1031 bacteria C. 5.0 × 10-31 bacteria D. 2.0 × 1030 bacteria
Find the expected value.Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. An insurance company is willing to insure the concert for $150,000 against rain for a premium of $30,000. If he buys this policy, what are his expected earnings from the concert?
A. $180,000 B. $300,000 C. $270,000 D. $239,400