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Fred invests $3000 more in an account that pays 4% simple interest than he invests in an account that pays 3% simple interest. If the total interest earned for the first year is $610, how much did Fred invest in each account?
The length of one leg of a right triangle is twice the length of the second leg. The hypotenuse is 15 meters. Find the length of the two legs.
A metal storage tank with a mximum volume of 1200 m^3 is to be constructed in the shape of a right circular sylinder surmounted by a hemisphere. What radial and height dimensions will require the least amount of material?
Linear programming problem consisting of only two constraints with one objective function.
How many six-digit even numbers less than 200,000 can be formed using all the digits 1, 1, 2, 2, 3 and 5? How many permutations of the letters in the name ABBA are there?
Solve the following system of equations using the Substitution method: Solve the following system of equations using the elimination method:
Let ubar and vbar be nonzero vectors in 2 or 3 space and let k=||u|| and m=||v||. Show that the vector Wbar=mubar +kvbar bisects the angle between ubar and vbar.
A total of 393 tickets were sold for the school play. They were either adult tickets or students tickets. There were 57 fewer student tickets sold than adult tickets. How many tickets were sold?
Finding the maximum speed using first derivative test - Find the speed will maximize the flow rate on the road?
suppose a leprechaun gives you a magic penny that doubles every night. How much money would you have after 7 days?
Find the derivative of y with respect to x. y = sec ^ -1 (x^2 + 1), x > 0
A sample of 64 statistics students at a small college had a mean mathematics ACT score of 28 with a standard deviation of 4. Estimate the mean mathematics ACT score for all statistics students at this college. Give the 95% confidence interval.
What is the probability of drawing a red ball on the second draw if the first one is not put back in the box after it is drawn?
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