Solve the linear programming problem.The Jillson's have up to $75,000 to invest. They decide that they want to have at least $25,000 invested in stable bonds yielding 6% and that no more than $45,000 should be invested in more volatile bonds yielding 12%. How much should they invest in each type of bond to maximize income if the amount in the more volatile bond should not exceed the amount in the more stable bond? What is the maximum income?
What will be an ideal response?
$37,500 in the stable bonds and $37,500 in the volatile bonds; maximum income $6750
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Solve the problem.The grocery expenses for six families were 
, 
, 
, 
, 
, and 
. Compute the mean grocery bill. Round
your answer to the nearest cent. A. $70.13 B. $68.44 C. $102.67 D. $82.13
Find the axis of symmetry of the graph of the parabola.f(x) = 7(x + 
)2 - 16.13
A. x = 
B. y = -16.13
C. x = -
D. x = -16.13
Solve with calculator.The formula 
models the number of calories per day, C, a person needs to maintain life in terms of the person's weight, x, in kilograms. How many calories does a person who weighs 45 kilograms (approximately 99 pounds ) need to maintain life? Round to the nearest whole number.
A. 2113 calories B. 1216 calories C. 2386 calories D. 4205 calories
Evaluate the function for the given values of a and b. Then use the intermediate value theorem to determine which of the statements below is true.a = -2 and b = -1f(x) = 6x4 + 2x3 - 2x - 7
A. f(-2 ) and f(-1) have opposite signs, therefore f does not have a real zero between -2 and -1. B. f(-2 ) and f(-1) have opposite signs, therefore f has a real zero between -2 and -1. C. f(-2 ) and f(-1) have the same sign, therefore the intermediate value theorem cannot be used to determine whether f has a real zero between -2 and -1. D. f(-2 ) and f(-1) have the same sign, therefore f does not have a real zero between -2 and -1.