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A scientist mixes water (containing no salt) with a solution that contains 40% salt. She wants to obtain 200ounces of a mixture that is 35% salt. How many ounces of water and how many ounces of the 40% salt solution should she use?
Dr. Sand borrowed some money to buy new furniture for her office. She paid $182.88 simple interest on a 5.5-year loan at 9.5 percent. Find the principal.
Show that if y = f(x) is a solution to the differential equation dy/dx = 3y2/3 that is not zero on an open interval I, then on this interval f(x) must be of the form
Convert the integral to rectangular coordinates with the order of integration dz dx dy. Convert the integral to spherical coordinates. Evaluate one of the integrals.
An object is placed in a 68°F room. Write a differential equation for H, the temperature of the object at time t.
Find and interpret the coefficient of correlation.
Does the model underestimate or overestimate the actual number shown by the bar graph for 2006? By how much?
Given the following probability distribution for asset Y, compute the expected rate of return, variance, standard deviation, and coefficient of variation for the assets.
A gun has a muzzle speed of 90 meters per second. Find two angles of elevation that should be used to hit an object 160 meters away? Neglect air resistance and use g = 9.8, textrm{m}/textrm{sec}^{2} as the acceleration of gravity.
what is the present value of R1 000 to be received in 10 year's time assuming a discount rate of 12% per annum?
-What is the probability that demand will exceed 1000 pounds?
Problems related to Functions and Limits, Differentiation, Integration and Analytic Geometry - the angle between the lines represent
Too much cholesterol in the blood increases the risk of heart disease. The cholesterol levels of young women aged 20 to 34 vary approximately Normally with mean 185 milligrams per deciliter (mg/dl) and standard deviation 39 mg/dl.
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