Solve.The length and width of a rectangle have a sum of 72. What dimensions give the maximum area?
A. Length 36 and width 36
B. Length 35 and width 37
C. Length 27 and width 45
D. Length 26 and width 46
Answer: A
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Find the absolute maxima and minima of the function on the given domain.
on the disk bounded by the circle 
A. Absolute maximum: 81 at 
and 
absolute minimum: 45 at 
and 
B. Absolute maximum: 45 at 
and 
absolute minimum: 0 at 
C. Absolute maximum: 81 at 
and 
absolute minimum: 0 at 
D. Absolute maximum: 126 at 
absolute minimum: 0 at 
Solve the problem.How many of the numerals 80, 81, . . . , 89 have vertical reflection symmetry? Consider the numeral 1 as a vertical segment ?.
A. 2 B. 0 C. 3 D. 1
A turkey is removed from the oven when its temperature reaches 175°F and is placed on a table in a room where the temperature is 70°F. After 10 minutes the temperature of the turkey is 161°F and after 20 minutes it is 149°F. Use a linear approximation to predict the temperature of the turkey after 30 minutes.
What will be an ideal response?
Find the system of equations to model the problem. DO NOT SOLVE THIS SYSTEM.A $124,000 trust is to be invested in bonds paying 9%, CDs paying 8%, and mortgages paying 10%. The sum of the amount invested in bonds and the amount invested in CDs must equal the mortgage investment. To earn an $11,400 annual income from the investments, how much should the bank invest in each?Let x represent the amount invested in bonds, y the amount invested in CDs, and z the amount invested in mortgages.
A. x + y - z = 0 x + y + z = 124,000 0.09x + 0.08y + 0.1z = 11,400 B. x + y + z = 0 x + y - 9z = 124,000 0.1x + 0.08y - 0.09z = 11,400 C. x + y - z = 11,400 x - y + 9z = 22 8x + y + z = 124,000 D. x + y - z = 0 x + y + z = 124,000 9x + 8y + z = 11,400