2 cos (3xtZl) = VZ 0°EX Ę 360 2(05

8) Solve the exponential equation: 32x+1=2-3x+2

Solve the problem. A car dealer offers an 8% discount off the manufacturer’s suggested retail price (MSRP) of x dollars for any new car on the lot. At the same time, the manufacturer offers a $4000 rebate for each purchase of a new car. What would be the price you would pay (before taxes) for a new Tesla with an MSRP of $60000?

Brennan has been playing game where he can create towns and help his empire expand. Each town he has allows him to create 1.15 times as many villagers as he had in the one before. The game gave Brennan 5 villagers start with. Explain to Brennan how to create an equation to predict the number of villagers in any specific town. Then show how to use your equation to solve for the number of villagers he can create to live in the 15th town.

Ibuprofen for infants comes in a liquid form and contains 35 milligrams of ibuprofen for each 0.875 milliliters of liquid. If a child is to receive a dose of 30 milligrams of ibuprofen, how many milliliters of liquid should they be given? Assume milliliters of liquid should be given. Write an equation to model this scenario. There is no need to solve it.

Julio and Darius can paint a room in 6 hours if they work together. If Darius were to work by himself, it would take him 3 hours longer than it would take Julio working by himself. How long would it take Julio to paint the room by himself if Darius calls in sick? Round to 2 decimal places.