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Samantha took out two loans totaling $6000 to pay for her first year of college. She borrowed the maximum amount she could at 3.5% simple annual interest and the remainder at 7% simple annual interest. At the end of the first year, she owed $259 in interest. How much was borrowed at each rate?
Probability of the Workers at Motor Works 64% of the workers at Motor Works are female, while 66% of the workers at City Bank are female.
Find the equation of a line through (2,3,7) parallel to the line of intersection of the planes 2x + y + z = 0 and x-y +7z = 0.
Use the law of quadratic reciprocity to show that if p is an odd prime other than 5, then (5/p) = 1 if and only if the last digit of p is 1 or 9.
Find a vector function that represents the curve that is the intersection of the cylinder x2 + y2 = 1 and the hyperboloid z = x2 +y2.
The mass of Uranus is about 8.7 x 10^22 metric tons. The mass of the sun is about 1.998 x 10^27 metric tons. About how many times the mass of Uranus is the mass of the sub? Give you answer in scientific notation.
Draw a tree diagram that illustrates the following. Three-fifths of kindergarten children are bussed to school, while two-fifths of the first to fifth graders are bussed.
A right triangle has one leg that is twice as long as the other leg. The hypotenuse is 2 square root 5 inches. Find the length of the other leg.
a box has a heigght of 16 centimeters and a volume of 2304 cubic centimeters. what is the area of the base of the box?
one brand of its tires is normally distributed with a mean of 50,100 miles and a standard deviation of 4000 miles. If the manufacturer is willing to replace around 10% of the tires as unsatisfactory performers, what should be the approximate numbe..
scores on a statewide standardized test are normally distributed with a mean of 12.89 and a standard deviation of 1.95.
Rita has a collection of 114 coins consisting of nickels, dimes, and quarters. The number of dimes is 4 more than one-third the number of nickels, and the number of quarters is twice the number of dimes. How many coins of each kind does she have?
Let A be a positive definite matrix. Show that X has a unique positive square root. That is, show that there exists a unique positive matrix X such that X^2 =A.
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