Solve the problem.Alan wants to invest a total of $6000 in mutual funds and a certificate of deposit (CD). He wants to invest no more in mutual funds than half the amount he invests in the CD. His expected return on mutual funds is 9% and on the CD is 4%. How much money should Alan invest in each area in order to have the largest return on his investments? What is his maximum one-year return?
A. Maximum one-year return is $240 when he invests $0 in mutual funds and $6000 in the CD.
B. Maximum one-year return is $440 when he invests $4000 in mutual funds and $2000 in the CD.
C. Maximum one-year return is $540 when he invests $6000 in mutual funds and $0 in the CD.
D. Maximum one-year return is $340 when he invests $2000 in mutual funds and $4000 in the CD.
Answer: D
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Use the Trapezoidal Rule with n = 4 steps to estimate the integral.
A. 
B. 
C. 
D. 
True or false?In Fremont in 1990, the mayor's approval rating was 80%. In 1998, his approval rating was only 
True or false? in absolute terms his approval rating decreased by 20 percentage points whereas in relative terms, it decreased by 
A. True B. False
Find the distance (correct to two decimal places) between the given parallel planes.
6x+7y-2z=12 and 12x+14y-2z=70
Solve the problem.In 1838, the German mathematician and astronomer Friedrich Wilhelm Bessel was the first person to calculate the distance to a star other than the Sun. He accomplished this by first determining the parallax of the star, 61 Cygni, at 0.314 arc seconds (Parallax is the change in position of the star measured against background stars as Earth orbits the Sun. See illustration.) If the distance from Earth to the Sun is about 150,000,000 km and ? = 0.314 seconds = 
minutes = 
degreesdetermine the distance d from Earth to 61 Cygni using Bessel's
figures. 
What will be an ideal response?