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Suppose you invested $10,000, part 6% annual interest and the rest at 9% annual interest. If you received $684 in interest after one year, how much did you invest at each rate?
Got the 1st derivative to be Y'= 1/4 (1+1/x)^-3/4 * (-1x)^-2 Is that correct?
Suppose A is an m×n matrix and B is the n×m matrix obtained by rotating A ninety degrees clockwise on paper ( not exactly a standard mathematical transformation!). Do A and B have the same singular values? Prove that the answer is yes or give a co..
a ladder 14 feet long makes an angle of 59 degrees with the ground as it leans against a building. how far up teh building does the ladder reach?
Write and equation of the tangent line to the graph of y = f(x) at the point on the graph where x has the indicated value. f(x) = (3x^2 + 5x + 4)(4x + 3), x=0
A grapefruit is thrown with a velocity of 50 ft/sec upwards, off the top of a 256- foot tall building. How long does it take for the grapefruit to reach, and splatter all over, the sidewalk below?
the passport card charges a customer 1.5% per month on the customer's unpaid balance find the interest owed to the credit card company when the customers's unpaid balance for the month is $8.00.
a metal storage tank with volume 1000 ft^3 is to be contructed in the shape of a right cylinder surmounted by a hemisphere. what dimensions will require the least amount of metal?
What are the dimensions of the largest volume package the postal service will accept?
Angie's puppy weighed 3kg when she first got it. Two years later it weighed 9kg. How many grams of weight did the puppy gain.
A balloon rises at the rate of 8 feet per second from a point on the ground 60 feet from an observer. Find the rate of change of the angle of elevation when the balloon is 25 feet above the ground.
Find three positive numbers x, y, and z whose sum is 470 such that xaybzc is a maximum.
The acceleration due to gravity near the surface of Mars is 3.72ms^-2. A rock is thrown straight up from the surface with an initial velocity of 23ms^-2.
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