Marissa has just won a contest.  She must decide between two prize options:  collect a lum-sum payment of $40 000 or receive $800 at the end of every quarter for 10 years from an investment.  The investment earns 8%/a compounded quarterly.  Which is the best option and by how much?

$200 is invested at 4% per year compounded semi-annually. The amount obtained after 5 years is

Determine the exact value of cos (-420o).

In ΔABC, A = 68o, b = 7.0 cm, and c = 15.0 cm. Find the length of side a.

The population of a town is growing at an average rate of 5% per year.  In 2000, its population was 15 000.  What will the population be in 2020 if the town continues to grow at this rate?

It costs a bus company $225 to run a minibus on a ski trip, plus $30 per passenger.  The bus has seating for 22 passengers, and the company charges $60 per fare if the bus is full.  For each empty seat the company has to increase the ticket price by $5.  How many empty seats should the bus run with to maximize the profit for this trip?

The fifth term of the geometric sequence 2, 12, 72, … is

The profit function for a new product is given by P(x) = -4×2 + 28x – 40, where x is the number of items sold in thousands.  How many items must be sold for the company to break even?

Suppose the graph of a function y = f(x) is compressed horizontally by a factor of 0.5, stretched vertically by a factor of 3, reflected in the y axis, and then translated 4 units left. The equation of the function is y = 3f(-2(x + 4)).

When finding the present value of an annuity with quarterly payments for 6.5 years, the value of n in the geometric series formula is