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A man invests $8000. Part of it at 11%, the other at 12%. His total interests from his investments is $930. How much did he invest at each rate.
If q is the number of quarts of lemonade ,than 1/4q can be used to find the number of cups of lemonade mix needed to make the lemonade. How muck mix is needed to make each amount of lemonade? 2 quarts, 8 quarts, 12 quarts, 18 quarts
We would like to build such a network in order to minimize the total building and transportation costs, so that all demand is met. Formulate the problem as an integer programming problem.
Sam has 100 feet of fence and wants to use it to provide a circular play area for his dog. What will be the area of the play area?
Find the x-intercept of L(x) as a way of estimating the x-intercept of f(x). Round the coefficients 3 decimal places.
Confidence interval for the mean test score.
A machine produces widgets at a defective rate of 6%. A sample of 6 widgets is taken, What is the probability that less than 2 of them are defective?
the base of a cylindrical water tank has an area of 28 feet. when the tank is full it hold 140 feet of water. what is the hight of the tank?
At the first tri-city meeting, there were 8 people from town A, 7 people from town B, and 5 people from town C
Find a hyperbolic rigid motion that transforms the bowed geodesic from (-4,0) to (2,0) to the bowed geodesic from(10,0) to (20,0)?
Anthony invested a sum of money 3 years ago in a savings account that has since paid interest at the rate of 8%/year compounded quarterly. His investment is now worth $30,437.80. How much did he originally invest?
A certain country taxes the first $16,000 of an individual's income at a rate of 15%, and all income over $16,000 is taxed at 20%. Find a piecewise-defined function T that specifies the total tax on an income of x dollars.
A person plans to use 200 ft of fencing to enclose a rectangular patio. Set up a quadratic equation that relates your length and width. What dimensions of the rectangle would give the max area? What is that area?
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