A child has an enormous jar in which she has been saving all of her spare change. In order to determine exactly how much money she has in the jar, she dumps all of the coins on the floor and counts them. Under the watchful eye of her mother, she counts 180 pennies, 120 nickels, 100 dimes, and 80 quarters.If the child were to grab a handful of 48 coins at random from the jar, how much money should she expect it to be worth?
A. $39.60
B. $4.80
C. $3.78
D. $4.92
E. none of these
Answer: C
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Solve the problem.Stephanie receives a salary of $650 per month plus a commission of 5.5% on the first $3000 of sales, and 7% of all sales over $3000. Find Stephanie's gross pay for the month if her sales were $11,460.
A. $2892.20 B. $1407.20 C. $757.20 D. $1617.20
An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Function z = 3x + 5yConstraints x ? 0 y ? 0 2x + y ? 15 x - 3y ? -3
A. maximum 75; at (0, 15) B. maximum 33; at (6, 3) C. maximum 38; at (6, 4) D. maximum 22.5; at (7.5, 0)
Simplify the expression.24011/4
A. 196 B. 16,807 C. 28 D. 7
Determine the sketch of the region given by the set.
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