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A person collects coins (nickels, dimes, and quarters) in a jar. At the end of the year they emptied the jar and found that there were 110 coins. The value of all the coins was $11.20. If there were twice as many dimes as quarters, how many of each type of coin were there?
a) Define the variables needed to solve the problem
b) Set up a system of equations modeling the facts.
c) Find the solution by solving the system of equations in b) using rref on your calculator (show the original matrix and the row-reduced matrix).
Confirm that (C ([a, b]) , II·II infinity ) where II f II infinity= max I f (x) I a
to determine the number of deer in a game preserve, a conservationalist catches 394 deer, tags them and lets them loose. Later, 492 deer are caught, 246 of them are tagged, How many deer are in the preserve?
Sue, a recent retiree, requires $6,000 per year in extra income. She has $50,000 to invest and can invest in B-rated bonds paying 15% per year or in a certificate of deposit (CD) paying 7% per year. How much money should be invested in each to rea..
Linear Programming Model for Maximizing Profit of a Production Schedule, Ms. Olsen, a coffee processor, markets three blends of coffee. They are Brand X, Minim and Taster's Reject. Ms. Olsen uses two types of coffee beans
Suppose that you are to make a rectangular box with a square base [B]from two different materials. The material for the top and four sides of the box costs $1/ft^2; the material for the base costs $2/ft^2.
Cauchy Canners produces canned whole tomatoes and tomato sauce. This season, the company has available 3,000,000 kg of tomatoes for these two products.
Two trains leave stations 374 miles apart at the same time and travel toward each other. One train travels at 80 miles per hour while the other travels at 90 miles per hour. How long will it take for the two trains to meet?
A music store has 2 new pop CDs, 3 new rap CDs, and 2 new rock CDs in this week. If you purchase 1 of each type, how many combinations are there?
Paul makes $25.00 a week less than the sum of what Fred and Carl together make. Carl's weekly income would be triple Steven's if he made $50.00 more a week. Paul makes $285.00 a week and Steven makes $75.00 a week. How much does Fred makE?
use the method of substitution to solve the system of linear equation.
Find the directrix, focus and roots of the parabola from the given data and sketching the graph of given equation
The perimeter of a rectangular swimming pool is 326 feet. If the width of the pool is 89 feet, what is the length of the pool?
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