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A bank wishes to invest a $180,000 trust fund in three sources: bonds paying 12%; certificates of deposit paying 10%; and first mortgages paying 16%. The bank wishes to realize an $21,500 annual income from the investment. A condition of the trust is that the total amount invested in bonds and certificates of deposit must be triple the amount invested in mortgages. How much should the bank invest in each possible category? Let x, y, and z, respectively, be the amounts invested in bonds, certificates of deposit, and first mortgages. Solve the system of equations by the Gauss-Jordan elimination method.
explain why applying a vertical and then a horizontal translation produces the same result as appying a horizontal translation and then a vertical translation.
A boat's crew rowed 12 miles downstream, with the current, in 1.5 hours. The return trip upstream, against the current, covered the same distance, but took 4 hours. Find the crew's rowing rate in still water and the rate of the current.
A particle passes through the point P = (6, 5, -2) at time t = 4, moving with constant velocity v = i - 3j + 6k. Find parametric equations for the motion of the particle.
How rapidly is the diameter of the balloon increasing when the diameter is 1.1 feet?
The average time taken to produce a part at Factory A is 10 minutes. Given this, find the following probabilities. The probability that at least three minutes is taken
Use geometric techniques to estimate the percentage full. Find an upper and lower bound to the percentage full.
Complete the table to make this a valid probability distribution. b. What is the probability an applicant's GPA will be below 3.0?
At that instant L and W are increasing at a rate of 10 m/s while H is decreasing at a rate of 1 m/s. Find the rate at which the surface area S is changing at that instant.
The perimeter of a square garden is 248 metres. What is the length of each side?
What is the standard error of the sample mean, x? Enter your answer to 2 decimal places.
Find all values of: tan^(-1) * (1 + i). The format for the final answer should be similar to this one:
Are these functions Reimann Integrable? I am just learning this topic, so my description may not be accurate. A function is Reimann Integrable if it's Upper Darboux Sums and Lower Darboux suns are equal.
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