The characteristic polynomial of a 5 × 5 matrix is given below. Find the eigenvalues and their multiplicities.?5 - 24?4 + 189?3 - 486?2
A. 0 (multiplicity 2), 9 (multiplicity 2), 6 (multiplicity 1)
B. 0 (multiplicity 2), -9 (multiplicity 2), -6 (multiplicity 1)
C. 0 (multiplicity 2), -9 (multiplicity 2), 6 (multiplicity 1)
D. 0 (multiplicity 1), 9 (multiplicity 3), 6 (multiplicity 1)
Answer: A
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Use the unpaid balance method to find the finance charge on the credit card account. The last month's balance and any other transactions are given.Last month's balance, $712; payment, $259; interest rate, 20%; bought jacket, $115; returned jacket, $157
A. $7.05 B. $20.91 C. $422.87 D. $32.58
Solve. Remember to insert units when writing your answer.A cab driver paid $22.93 to fill her car with 50.4 liters of gasoline. Find the price per liter of the gasoline to the nearest tenth of a cent.
A. $2.198 B. $0.220 C. $0.455 D. $4.550
Caroline deposits $2,000 into a retirement fund each year. The fund earns 7.5% annual interest, compounded monthly. If she opened her account when she was 20 years old, how much will she have (to the nearest dollar) by the time she is 60? How much of that amount will be interest earned?
a. Total in account: $86,000; interest earned: $6,000 b. Total in account: $90,569; interest earned: $10,569 c. Total in account: $ 92,570; interest earned: $12,570 d. Total in account: $320,000; interest earned: $240,000
Provide an appropriate response.It has been estimated that the average American watches 58,240 hours of television in a lifetime. Write this number in scientific notation.
A. 58.24 × 103 hours B. 5.824 × 104 hours C. 5.824 × 103 hours D. 5.824 × 105 hours