When you receive a loan to make a purchase, you often must make a down payment in cash. the amount of the loan is the purchase cost minus the down payment. riva made a down payment of $1500 on a used car. she received a loan of $2600. write and solve an equation to find the cost of the car. show that you answer is reasonable.

Use the method of cylindrical shells to find the volume v generated by rotating the region bounded by the curves about the given axis.y = 7ex, y = 7e^-x, x = 1; about the y-axis

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.

Use the squared identities to simplify sin^2x cos^2x