Solve the problem.Alan wants to invest a total of $11,000 in mutual funds, CDs, and a high yield savings account. He wants to invest no more in mutual funds than half the amount he invests in CDs. He also wants the amount in savings to be at least twice the sum of his CDs and mutual funds. His expected return on mutual funds is 10%, on the CDs is 6%, and on savings is 3%. How much money should Alan invest in each area in order to have the largest return on his investments? Set this up as a linear programming problem in the following form: Maximize cTx subject to Ax ? b and x ? 0. Do not find the solution.
A. Let x1 be the amount invested in mutual funds, x2 the amount in CDs, and x3 the amount in savings.
Then b = 
, x = 
, c = 
, and A = 
B. Let x1 be the amount invested in mutual funds, x2 the amount in CDs, and x3 the amount in savings.
Then b = 
, x = 
, c = 
, and A = 
C. Let x1 be the amount invested in mutual funds, x2 the amount in CDs, and x3 the amount in savings.
Then b = 
, x = 
, c = 
, and A = 
D. Let x1 be the amount invested in mutual funds, x2 the amount in CDs, and x3 the amount in savings.
Then b = 
, x = 
, c = 
, and A = 
Answer: C
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Determine if the number is divisible by 2, 3, 4, 5, 6, 8, 9, 10, and/or 12.4505
A. 5 B. 5, 10 C. 10 D. 2, 5, 10
Solve the problem.Alan averages 24 miles per gallon of gasoline in his car. How far can he travel on 17 gallons of gasoline?
A. 408 mi. B. 41 mi. C. 49 mi. D. 416 mi.
Solve the problem.The linear equation y = 443x + 3420 provides an approximation of the annual cost (in dollars) of health insurance for a family of three, where 
represents 2011, 
represents 2012, and so on. Write an equation that yields the same y-values when the exact year number is entered.
A. y = 443(2011 - x) + 3420 B. y = 443(x - 2010) + 3420 C. y = 443(2010 - x) + 3420 D. y = 443(x - 2011) + 3420
Find the inclination 
(in radians and degrees) of the line passing through the points. Round your answer to four decimal places for radians and round your answer to one decimal places for degree.
?
?
A. 
B. 
C. 
D. 
E. 