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

If annuity payments are made every three months for five years, the total number of payments is

XYZ Co. is an advertising firm that uses job order costing. Its direct materials consist of branded merchandise (t-shirts, coffee mugs, etc.) that it creates for clients. Direct labor consist of marketer’s salaries that work on the client’s account. Overhead consist of costs such as depreciation, utilities and insurance related to the headquarters office. XYZ computes its predetermined overhead rate annually based on direct labor hours. At the beginning of the year, XYZ estimated 40,000 direct labor hours would be required for the period’s estimated level of client service. The company also estimated $320,000 of fixed overhead costs for the coming period and variable overhead of $0.50 per direct labor hour. During the year the company started and completed the Flagler Co. engagement. The following information was available for this job: Direct materials $2,600 Direct labor $12,800 Direct labor hours worked 640 Compute the total job cost for the Flagler Co. engagement.      

The nineteenth amendment is also known as the?