Provide an appropriate response.Greg and Andrea want to buy a house, so they have decided to save one fifth of each of their salaries. Greg earns $15.00 per hour and receives an extra $5.00 a week because he declined company benefits, and Andrea earns $14.00 per hour plus benefits. They want to save at least $175.00 each week. How many hours must they each work each week?

Fill in the blank(s) with the appropriate word(s).


30 hours

Mathematics

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Solve the problem.A state lottery has a "Pick-5 Lotto" game in which a player pays $1.00 for a ticket consisting of five numbers chosen from the counting numbers 1-37. Each week the state holds a televised drawing of five numbers, again, chosen from the counting numbers 1-37. If at least two of the five numbers on the player's ticket matches the numbers from the drawing the player gets a payoff according to the following scheme: Find the player's net winnings in this game.

A. $0.48 B. -$0.52 C. $0.52 D. $1.52

Mathematics

Solve the given problem by using Laplace transforms.A 10-H inductor, a 40-?F capacitor, and a voltage supply whose voltage is given by  are connected in series. Find the current as a function of time if the initial charge on the capacitor and the initial current are both zero.

A. i = 5t sin -50t B. i = 5t cos 50t C. i = 5t sin 100t D. i = 5t sin 50t

Mathematics

Find the equation of the line that has the given properties. Write the equation in slope-intercept form, if possible. Contains (-3, -3); perpendicular to the line y = -3x - 1

A. y = - x - 2
B. y = 3x - 2
C. y = x - 2
D. y = -3x - 2

Mathematics

Use DeMoivre's Theorem to write the expression in rectangular form.(-i)11

A. i B. -i C. -1 D. 1

Mathematics