The Tomkins Company forecasts that total overhead for the current year will be $1,200,000 and that total machine hours will be 10,000 hours. Year to date, the actual overhead is $800,000 and the actual machine hours are 20,000 hours. If the Tomkins Compan
The rate (in liters per minute) at which water drains from a tank is recorded at half-minute intervals in the table below. Use the average of the left- and right-endpoint approximations to estimate the total amount of water drained during the first 3 minu
Al's Rentals charges $25.00 per hour to rent a sailboard and a wet suit. Wendy's Rentals charges $20.00 per hour plus $15.00 extra for a wet suit. Find the number of hours for which the total charges
The exterior of a house needs to be painted. Bill's crew can paint the house in 12 hours, while it would take Ted's crew 14 hours to paint the house. Bill's crew starts the job for 3 hours before being joined by Ted's crew. What is the total amount of tim
Oil leaks out of a tanker at a rate of r = f(t) gallons per minute, where t is in minutes. Write a definite integral expressing the total quantity of oil which leaks out of the tanker in the first hou
(a) Suppose you have a job that pays $10 per hour. Write a function, g than can be used to determine your gross pay (your pay before taxes are taken out) per hour, h, that you worked. (b) Now let's write a formula for how much money you'll actually take h
The table of values below shows the rate of water consumption in gallons per hour at selected time intervals from t = 0 to t = 12. Using a Trapezoidal sum with 5 subintervals, estimate the total amoun
I hired a carpenter and an apprentice to do some work at my business. They worked two days. On the first day I was billed $210 for 11 hours of work by the main carpenter and for 7 hours of work by the apprentice. On the second day I was billed $114 for 3
The rate (in liters per minute) at which water drains from a tank is recorded at half-minute intervals. Use the average of the left- and right-endpoint approximations to estimate the total amount of water drained during the first 3 min.
Mickey charges $15, $30, $45, and $60 for babysitting 1, 2, 3, and 4 hours, respectively. Is the relationship between the number of hours and the amount charged proportional? If so, find the unit rate. If not, explain.
The cost (in dollars) of repainting a car is given by C(x, y) = 4 x^2 + 5 y^2 - 4 x y^2 + 50 where x is the number of hours of labor and y is the number of gallons of paint used. Find the cost of 10 hours of labor and 8 gallons of paint.
When Raw Materials, Work in Process, and Finished Goods are recorded and carried at their standard cost, the fixed overhead applied to work in process is calculated by multiplying the predetermined overhead rate by the actual direct labor-hours worked. Tr
Thomas is having a deck built on the back of his house. A local building supply store has quoted him $1000 for materials plus a carpenter's wage of $30/hour. a) Write a word equation that describes the relationship between the cost of the job and the num
A water tank can be filled by an inlet pipe in 10 hours. It takes 3 times as long for the outlet pipe to empty the tank. How long will it take to fill the tank if both pipes are open?
A water tank can be filled by an inlet pipe in 8 hours. it takes 3 times as long for the outlet pipe to empty the tank. How long will it take to fill the tank if both pipes are open?
A water tank can be filled by an inlet pipe in 7 hours. It takes 2 times as long for the outlet pipe to empty the tank. How long will it take to fill the tank if both pipes are open?
A water tank can be filled by an inlet pipe in 6 hours. It takes 3 times as long for the outlet pipe to empty the tank. How long will it take to fill the tank if both pipes are open?
A full tank initially (at t = 0) contains 16 gallons. Then, water is removed at a rate of (1 + t) gallons per minute, where t is the time in minutes. Find the time, t, where the tank is half empty.
Water leaked from a tank at a rate of r(t) liters per hour, where the graph of r is as shown. Use Simpson's Rule to estimate the total amount of water that leaked out during the first 6 hours.
Villa Park PlumberAn automobile repair shop charged a customer $660, listing $75 for parts and the remainder for labor. If the cost of labor is $65 per hour, how many hours of labor did it take to repair the car?
Mr. Smith estimates that it will take 3 hours to fill the pool one foot using their only hose. If the Smith's neighbors allow them to borrow an additional hose, how long will it take to fill the pool to the five-foot level? (a) 3 hours (b) 7.5 hours (c) 1
Using the following labor and material rates, calculate the cost to provide and install the WWF and pour the concrete slab. Productivity rate for slab = 0.4 labor hours/cy Productivity rate for WWF = 1
An electrician can wire a house in 20 hours. if she works with an apprentice, the same job can be completed in 12 hours. how long would it take the apprentice, working alone, to wire the house?
Bill has a traveling car detailing business. He will come to your house to clean your car for a $60 fee plus $14.70 per hour. Mrs. Jenkins spent a total of $126.15 on his services. Determine how many hours Bill spent cleaning Mrs. Jenkins' car.
One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 15 hours. How long will it take the pipe to fill the pool if the drain is left open?
One inlet pipe can fill an empty pool in 4 hours, and a drain can empty the pool in 8 hours. How long will it take the pipe to fill the pool if the drain is left open?
One inlet pipe can fill an empty pool in 9 hours, and a drain can empty the pool in 15 hours. How long will it take the pipe to fill the pool if the drain is left open?
One inlet pipe can fill an empty pool in 4 hours, and a drain can empty the pool in 10 hours. how long will it take the pipe to fill the pool if the drain is left open?
One inlet pipe can fill an empty pool in 4 hours, and a drain can empty the pool in 6 hours. How long will it take the pipe to fill the pool if the drain is left open?
One inlet pipe can fill an empty pool in 9 hours, and a drain can empty the pool in 18 hours. How long will it take the pipe to fill the pool if the drain is left open?
Thomlin Company forecasts that total overhead for the current year will be $18,032,000 with 196,000 total machine hours. Year to date, the actual overhead is $8,439,000, and the actual machine hours are 87,000 hours. If Thomlin Company uses a predetermine
After a hurricane, repair to roof will cost $2900 for materials and $50/hr in labor. (a) Write the model that represents the cost of the repair C (in $) in terms of the number of hours of labor x. (b) If an estimate for a new roof is $3950, after how ma
Two pipes together drain a wastewater-holding tank in 6 hours. If used alone to empty the tank, one takes 2 hours longer than the other. How long does each take to empty the tank if used alone?
Company A charges a fixed $200 for painting services, along with a $20/hour labor fee. Company B charges a strict hourly rate of $45/hour. For what length of time would the cost of both company's services be the same?
A Human Resources manager at Metal Technologies studied the overtime hours of welders. A sample of 15 welders showed the following number of overtime hours worked last month. Required: a. Compute the arithmetic mean (round your answer to 2 decimal places)
