The Golf King Driving Range is installing a huge net to catch long golf drives. The poles to hold the net up are 50 feet high. The contractor needs to run a wire from the top of the pole to the ground to keep the poles and the net secure. This wire is called a guy wire. a. If the guy wire runs from the top of the pole to a point on the ground 22 feet from the base of the pole, how long must the guy wire be? Round up to the next highest foot. b. What is the slope of the guy wire, expressed as a fraction?

Ed is setting up the locations of the corners of a 16-foot by 30-foot rectangular deck he is going to build in his backyard. To make sure he has a perfect rectangle, he checks to make sure the diagonals are the same. What should the length of each diagonal be?

Sara is setting up a volleyball net in her backyard. The poles to hold the net up are 10 feet high. Sara needs to run a wire from the top of the pole to the ground to help make sure that when players hit the net, the pole doesn't fall down. This wire is called a guy wire. If Sara runs the wire from the top of the pole to a point on the ground 7 feet from the base of the pole, how long must the guy wire be? Round up to the next highest foot.

A rectangular room measures 16 feet by 18 feet. The ceiling is 9 feet high. a. Find the total area of the four walls in the room. b. If a gallon of paint costs $37.99 and it covers 400 square feet on average, what is the cost of painting the room, including the ceiling, with two coats of paint? Explain your answer. c. This room is well insulated and is on the north side of the house. How large of an air conditioner would this room require? Round to the next highest thousand BTUs. d. A scale drawing is made of this room using the scale 1 sq$$\mathrm{ft}$=$\frac{1}{4}$ $$\mathrm{sq}$ in. What are the dimensions of this room on the drawing?

Sara is setting up a volleyball net in her backyard. The poles to hold the net up are 10 feet high. Sara needs to run a wire from the top of the pole to the ground to help make sure that when players hit the net, the pole doesn't fall down. This wire is called a guy wire. What is the slope of the guy wire, expressed as a fraction?

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I used Polya’s four steps in problem solving to deal with a personal problem in need of a creative solution.

If you borrow $200,000 at an APR of 4% for 25 years, you will pay more per month than if you borrow the money for 30 years at 4%. a. What is the monthly payment on the 25-year mortgage, to the nearest cent? b. What is the total interest paid on the 25-year mortgage? c. What is the monthly payment on the 30-year mortgage? d. What is the total interest paid on the 30-year mortgage? e. How much more interest is paid on the 30-year loan? Round to the nearest dollar. f. What is the difference between the monthly payments of the two different loans? Round to the nearest dollar.

An irregular plane figure drawn on graph paper is framed inside of a 15 by 40 rectangle. To find its area, 10,000 random points are generated, and 5,710 of them land inside the irregular region. What is the area of the irregular region, to the nearest integer?

The Lamberti family is building a rectangular deck that measures 30 feet by 22 feet. They need to run an electric line across the diagonal, underneath the deck. How long is the diagonal of the deck, to the nearest foot?

The Sea Cottage Cooperative is owned by the shareholders. The co-op has a total of 32,000 shares. Linda has an apartment at Sea Cottage and owns 480 shares of the cooperative. What percentage of Sea Cottage does Linda own?

Rex makes $12.50 per hour. He works 35 hours a week. He pays 24% of his gross earnings in federal and state taxes and saves 10% of his monthly gross income. He is considering renting an apartment that will cost$1,600 per month. a. Is this monthly rental fee within the recommended 25%-30% housing expense range? b. Based upon his expenses, can he make the monthly payments?

Last winter, the Kranepool family used 431 gallons of heating oil at a price of $4.12 per gallon. If the price increases 8.25% next year, what will their approximate heating expense be for the year? Round to the nearest ten dollars.

Ted has an adjusted gross income of $120,006. He wants a house with a monthly mortgage payment of$1,921 and annual property taxes of $7,112. His semiannual homeowner's premium would be$897. Ted has a credit card bill that averages $300 per month. a. What is the back-end ratio to the nearest percent? the front-end ratio? b. Assume that his credit rating is good. Based on the back-end ratio, would the bank offer him a loan? Explain. c. Based on the front -end ratio, would the bank offer him a loan? Explain.

The South Hills Apartment Complex has just announced rate increases. All rents will increase by 3.2%, and the security deposit, which was formerly 50% of one month's rent, must now equal 60% of the new rent. Eddie rented an apartment for $1,600. In what amount should he write a check to cover the new rent and the extra security deposit?