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A man invested part of #80,000 in first bank that paid 10% simple interest and the rest in community bank that paid 6% simple interest. His total annual interest from the two investment is #6,000. How much did he invest in each bank?
Find the Taylor series at x = 0 of the given function. Use suitable operations (differentiation, substitution, etc.) on the Taylor series at x = 0 of 1/(1 - x).
Find the vertical and horizontal asymptotes. Find the intervals where the function is increasing. Find the local maximum value. Find the intervals where the function is concave up.
Calculate the smallest sample size required to estimate the population mean under the following specifications:
Answer the following: Assume you have a choice between two annuity contracts. Contract A pays $5,000 per year for 5 years starting one year from today. Contract B pays $5,000 per year for 5 years starting today. The discount rate for each is 6%. W..
Discuss the notion of the logical "or" and the logical "and" in computer programming (coding) or flowcharts. Why is it important to know how to apply these correctly?
A spherical weather balloon is being inflated. Beginning at 19 cm, the radius of the balloon is increasing at the rate of 2 cm per second. Express the surface area of the balloon as a function of time t (in seconds).
researchers conducted a survey of parents of 66nbsp kindergarten children.nbsp the parents were asked whether they
an artist's canvas forms a golden rectangle. The longer side of the canvas is 33 inches. How long is the short rider? round to the nearest tenth of an inch.
Design a circuit for a light fixture controlled by four switches, where flipping one of the switches turns the light on when it is off and turns it off when it is on.
A 100 foot wire is extended from the ground to the top of a 60 foot pole, which is perpendicular to the level ground. To the nearest degree, what is the measure of the angle that the wire makes with the ground.
Suppose f is entire and never vanishes, and that none of the higher derivatives of f ever vanish. Prove that if f is also of finite order, then f(z) = eaz+b for some constants a and b.
Joanne sells silk-screened t-shirts at a community festival. Her marginal cost to produce one t-shirt is $3.50. Her total cost to produce 60 t-shirts is $300, and she sells them for $7 each.
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