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Water is poured into a container that has a leak. The mass m of the water is given as a function of time t by m = 4.8t0.8 - 3.1t + 19, with t ≥ 0, m in grams, and t in seconds. (a) At what time is the water mass greatest, and (b) what is that greatest mass? In kilograms per minute, what is the rate of mass change at (c) t = 2.4 s and (d) t = 5.3 s?
If a goat is tied on a 50 foot lead to a corner on the outside of a rectangular barn and the barn is 20 feet by 20 feet and the goat can not get into the barn nor is the barn a grazing area
Four commuter trains and three express buses depart from City A to City B in the morning, and three commuter trains and three express buses operate on the return trip in the evening. In how many ways can a commuter from City A to City B complete a..
Probability of a student receiving a particular grade, A student taking Management Science 301 at East Haven University will receive one of the five possible grades for the course
If the fund earns interest at the rate of 10% year compounded quarterly, determine the size of each (equal) quarterly installment that should be deposited in the fund.
How can equations and inequalities help a business maximize profit or minimize costs?
200 feet of fence needs to be used to enclose a ranch. the ranch borders a river where no fence is needed. what is the quadratic equation that will provide the maximum amount of space.
Thirty workers complete a project in 20 days. For the project to be completed in 10 days, how many additional workers are needed if each new worker is only half as productive as the original group?
Calculate the monthly finance charge for the credit card transaction. Assume that it takes 10 days for a payment to be received and recorded, and that the month is 30 days long.
Dotties Tax Service specializes in federal tax returns for professional clients, such as physicians, dentists, accountants, and lawyers. A recent audit by the IRS of the returns she prepared indicated that an error was made on 13 percent of the re..
There are four file cabinets, each with three drawers. There are 108 blue folders and 60 red folders. Use all the cabinets and put the same number of red folders and the same number of blue folders in each drawer. How many red and blue file folder..
A sample of 500 travelers who used the internet to book a trip were asked to which travel website they used. There responses are given in the table below. Use this information to construct a circle graph illustrating the percent of people who gave..
A farmer has 200 yards of fencing with which to enclose a rectangular field. One side of the field can make use of a fence that already exists. What is the maximum area that can be enclosed?
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