Solve the problem.A rectangular Persian carpet has a perimeter of 252 inches. The length of the carpet is 28 in. more than the width. What are the dimensions of the carpet?
A. Width: 112 in.; length: 140 in.
B. Width: 77 in.; length: 105 in.
C. Width: 98 in.; length: 126 in.
D. Width: 49 in.; length: 77 in.
Answer: D
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Show that the function is a solution of the wave equation.w(x, t) = cos (9ct) sin (9x)
A. Yes B. No
Find an equivalent expression by factoring.7 + 35a + 49b
A. 7(1 + 5a + 7b) B. 35(1 + a + b) C. 7(0 + 5a + 7b) D. 7(1 + 35a + 49b)
Solve the problem.A deposit of $8000 is made in an account that earns 6% interest compounded quarterly. The balance in the account after n quarters is given by the sequencean = 8000 n n = 1, 2, 3, ... Find the balance in the account after 7 years.
A. $11,975.78 B. $12,217.78 C. $12,219.78 D. $12,137.78
Simplify. Express the final answer in exponential form.4
6
A. 10
B. 10
C. 24
D. 24