Your office is moving into a new space and you have to decide if you want electric heat or natural gas. you have determined that it will take about 4000 kwh per month to heat the space with electricity and currently your electric company charges $0.075 per kwh. the natural gas provider currently charges $1.85 per therm. the conversions you will need are: 1 kwh = 3,413 btu; 100,000 btu = 1 therm.

For the following equations, find the ratio of a to b. be sure to show all of your work. a. 3a = 6b b. 15a = 5b

Which account has the highest effective annual interest rate? not necessary but show how you got your answer.a. account 1: interest is compounded quarterly at an annual rate of 4.20%.b. account 2: interest is compounded monthly at an annual rate of 4.15%.c. account 3: interest is compounded semiannually at an annual rate of 4.10%d. account 4: interest is compounded annually at a rate of 4.25%.

Determine the height of each triangle. round to the nearest foot. a. 7 ft c. 8 ft b. 5 ft d. 4ft