Solve the problem by finding and evaluating an appropriate expression.Tara leased a car with the following terms: she agreed to pay $1800 down, $499 per month for 30 months, and 15 cents per mile for all mileage in excess of 24,000. When she returned the car at the end of the lease period, it had 35,000 miles on the odometer. Find the total amount Tara paid for the lease.
A. $20,370
B. $22,020
C. $181,770
D. $18,420
Answer: D
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Solve the linear programming problem.Wally's Warehouse sells trash compactors and microwaves. Wally has space for no more than 74 trash compactors and microwaves together. Trash compactors weigh 29 pounds and microwaves weigh 52 pounds. Wally is limited to a total of 7500 pounds for these items. The profit on a microwave is $55 and on a compactor $34. How many of each should Wally stock to maximize profit potential?
A. Stock 0 microwaves and 74 compactors. B. Stock 74 microwaves and 1 compactor. C. Stock 0 compactors and 74 microwaves. D. Stock 0 microwaves and 73 compactors.
Solve. Round to the nearest hundredth, if necessary.According to Ohm's law, the electric current I, in amperes, in a circuit varies directly as the voltage V. When 17 volts are applied, the current is 4 amperes. What is the current when 21 volts are applied?
A. 4.94 amperes B. 42 amperes C. 4.25 amperes D. 89.25 amperes
Use the following table, which shows the number of applicants to various universities in 2016. Let the 12 universities listed represent the universal set. Use the information given by the table to represent the indicated set by the roster method, or use the proper notation to indicate that the set is the empty set.University2016 Total ApplicantsKatie U.42,121Green City U.32,398Burke State U.31,470S.W.U.35,027U. of Meredith33,006John Marie U.26,595Finn State U.36,789U. of Norris30,984Pi U.61,753Eastwestern72,409U.L.A.B.31,278Newton State U.29,437The set of listed universities that have between 30,000 and 40,000 applicants
A. {Green City U., Burke State U, S.W.U., U. of Meredith, Finn State U., U. of Norris, U.L.A.B.} B. { } C. {Green City U., Burke State U, S.W.U., U. of Meredith, Finn State U., U.L.A.B.} D. {Katie U., Green City U., Burke State U, S.W.U., U. of Meredith, Finn State U., U. of Norris, U.L.A.B.}
Express the number in scientific notation.880,765,000
A. 8.80765 × 10-7 B. 8.80765 × 108 C. 8.80765 × 10-8 D. 8.80765 × 107