Solve the problem.A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glass, whereas the semicircle is of tinted glass that transmits only one-fifth as much light per unit area as clear glass does. The total perimeter is fixed. Find the proportions of the window that will admit the most light. Neglect the thickness of the frame.
A. 
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B. 
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C. 
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D. 
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Answer: B
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Solve the problem.A $114,000 trust is to be invested in bonds paying 8%, CDs paying 5%, and mortgages paying 10%. The bond and CD investment must equal the mortgage investment. To earn an $9210 annual income from the investments, how much should the bank invest in bonds?
A. $20,000 B. $35,000 C. $57,000 D. $22,000
Factor the expression. Express your answer so that only positive exponents occur. (x + 6)-3/5 + (x + 6)-1/5 + (x + 6) 1/5
A. (x + 6)-3/5 [1 + (x + 6)4/5 + (x + 6)6/5] B. (x + 6)-3/5 [1 + (x + 6) 2/5 + (x + 6)4/5] C. (x + 6)-3/5 [1 + (x + 6)1/5 + (x + 6)3/5] D. (x + 6)-3/5 [1 + (x + 6) -2/5 + (x + 6) -4/5]
Find the Social Security tax for the current pay period. Assume a 6.2% FICA rate up to a maximum of $115,000.Gross Earnings This Year: $113,089.05Current Period Earnings: $4,442.38
A. $275.43 B. $112.28 C. $118.48 D. $156.95
Find a general term an for the arithmetic sequence.The first five terms of the sequence are 6.9, 7.4, 7.9, 8.4, 8.9.
A. an = 0.5n + 6.4 B. an = 0.4n + 6.4 C. an = 0.5n + 6.2 D. an = 0.5n + 6.9