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1) A student inherits $100,000and decides to invest half.The student has two investments to choose from; the first is a low risk investment that pays an average of 4% simple interest annually, the second has much more risk but averages 9% simple interest per year. If the student hopes to earn $3,0003 a year in interest, how much should be deposited in each investment?
2) A large solar heating panel requires 120 gallons of a fluid that is 3030% antifreeze. The fluid comes in either a 50% solution or a 20% solution. How many gallons of each should be used to prepare the 120-gallon solution?
3) British sterling silver is a copper-silver alloy that is 7.5% copper by weight.
How many grams of pure copper and how many grams of British sterling silver should be used to prepare 200 grams of a copper-silver alloy that is 10% copper by weight? (round to the nearest tenth)
4) For a particular linear function f(x)=mx+b f(-2)=11 and f(3)=-9 FIND m and b
Probability of Defective Resistors: DeMoivre-Laplace Theorem, A manufacturer of electronic equipment buys 900 resistors for which the probability of any single resistor being defective is p = 0.01.
write an essay suggested length of 1-2 pages in which you describe how student error student and teacher misconceptions
Write the iterated integral of a function f. the triangle with vertices at point (1,1,) , (1,2), (3,0). First find the equations of the three lines representing the sides of the triangle
A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a sinle-strand electric fence. With 1000 meters of wire at your disposal,
a paintball is aimed at a target and shot at an angle of 25 degrees above horizontal and lands at its original height
A 180-lb person compresses a bathroom scale 0.060 in. If the scale obeys Hooke's law, how much work is done compressing the scale if a 90-lb person stands on it?
One colored marker -red, yellow, or green - is selected and a coin is tossed. Use the counting principle to determine the number of sample points in the sample space.
1. Let R be an Euclidean domain with degree function ? and R is not a ?eld. (1) Let a is not equal 0 and b is not equal 0 be two elements in R. Suppose that a|b and b is not divide a. Prove that ?(a) is smaller than ?(b).
At the 0.05 level of significance, is there a significant linear relationship between two variables?
Write pseudo-code to implement the following a company makes two products product1 and product2. Using arrays, store monthly sales of each product over a 12 month period.
a container of the form obtained by revolving the parabola y = 0.75 x^2, 0
Express the volume of this region as a single triple integral in rectangular coordinates and Express this integral in terms of one or more integrals in the order dz dx dy.
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