Kim is building a large gazebo for her backyard. It is in the shape of a regular hexagon. Each side of the gazebo is 12 feet long. The apothem is 10.4 feet. She needs to purchase stones for the floor. It costs $9.50 per square foot for a special type of interlocking stone. Find the cost of the gazebo's floor. Round to the nearest ten dollars.

A rectangular room has length L and width W. Its volume is 2,455 cubic feet Express the height of the ceiling algebraically in terms of x.

A rectangular room has length L, width W, and height H, where L, W, and H are measured in feet. a. Express the volume in cubic feet algebraically. b. If carpeting costs $72 per square yard, write an expression for the cost of carpeting the floor of this room.

The main meeting room of the Glen Oaks Community Center measures 46 feet by 34 feet and has a 12-foot ceiling. It is well insulated and faces the east side of his house. The manager wants to purchase an air conditioner. How large an air conditioner should he purchase? Round up to the next thousand BTUs.

A bank requires that the Dotkoms pay their homeowner's insurance, property taxes, and mortgage in one monthly payment to the bank. If their monthly mortgage payment is $1,711.22, their semi-annual property tax bill is$3,239, and their annual homeowner's insurance bill is $980, how much do they pay the bank each month?

A rectangular room has length L and width W, where L and W are measured in feet. If carpeting costs x dollars per square yard, express the cost of carpeting this room algebraically.

For planting roses, a gardener uses a special mixture of soil that contains sand, peat moss, and compost in the ratio $2: 5: 3$. How many pounds of compost does she need to add if she uses three 10 pound bags of peat moss? (A) 12 (B) 14 (C) 15 (D) 18 (E) 20

The main meeting room of the Glen Oaks Community Center measures 46 feet by 34 feet and has a 12-foot ceiling. It is well-insulated and faces the east side of his house. The manager wants to purchase an air conditioner. How large of an air conditioner should he purchase? Round up to the next thousand BTUs.

The square footage and monthly rental of 10 similar one-bedroom apartments yield the linear regression $y=0.775 x+950.25$ where x represents the square footage of the apartment and y represents the monthly rental price. Grace can afford $1,500 per month rent. Using the equation, what size apartment should she expect to be able to rent for that price?

Brian's monthly gross income is $2,950. He pays 22% of his monthly gross earnings in federal and state taxes and spends 10% of that monthly income to pay off his credit card debt Brian is also paying off a loan his parents gave him for a new car by sending them 8% of his income per month. Brian found an apartment near his work that rents for$1,300 per month. Will he be able to make the payments without changing the amounts he pays toward his loan and credit card debt?

Larry is renting an apartment that will cost r dollars per month. He must pay a D dollars application fee and C dollars for a credit application. His security deposit is two month's rent and he must also pay the last month's rent upon signing the lease. His broker charges 7% of the total year's rent as the fee for finding the apartment. Write an algebraic expression that represents the total cost of signing the lease.

NuHome Movers charges $95 per hour for loading/unloading services and$80 per hour for packing/unpacking services. Their charge is $2.50 per mile for truck rental. Jay is moving a distance of 200 miles and needs 9 hours of loading/unloading and 7 hours of packing/ unpacking. What will his moving cost be if the service also charges 7.25% tax on the total?

Larry is renting an apartment that will cost r dollars per month. He must pay a D dollars application fee and C dollars for a credit application. His security deposit is two month's rent and he must also pay the last month's rent upon signing the lease. His broker charges 7% of the total year's rent as the fee for finding the apartment. Write an algebraic expression that represents the total cost of signing the lease.

A rectangular room measures 18 feet by 25 feet. It is going to be carpeted with carpeting that sells for $8.45 per square foot. This room is well-insulated and on the south side of the house. It has an 8-foot-high ceiling. How large an air conditioner would this room require? Round to the nearest thousand BTUs.