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a small corporation borrowed 1,500,000 to expand its line of shoes. some of the money was borrowed at 7%, some at 8%, and some at 10%. Use a system of equations to determine how much was borrowed at each rate if the annual interest was $130,500 and the mount borrowed at 10% was four times the amount borrowed at 7%. solve the system using matrices.
The perimeter of a square garden is 248 metres. What is the length of each side?
A bias coin is tossed four times. If probability of head in a single toss is 0.61, find the probability of
Rate related problems and Determine the general expression for the car's acceleration at any time t, and show that car is decelerating 2(2/3) seconds after starting from rest.
Using the graphs from part 3 compare the profits of each company and evaluate their claims. Which model seems more realistic, the linear or radical model, and why?
Suppose that 6 J of work is needed to stretch a spring from its natural length of 28 cm to a length of 35 cm.
Find the following antiderivatives for each integral
Fit a second order Newton's interpolating polynomial to estimate log 10 using the data x=8, 9, and 11. Complete the true percentage relative error.
A study of freeway flow at a particular site has resulted in a flow-density relationship.
You are given a list of n names (all of the names are distinct) with instructions to put them in alphabetical order. How many comparisons are necessary to accomplish your task?
A ladder is leaning against the side of a building. The base of the ladder is 8 feet from the base of the building, and the top of the ladder touches the building at a point that is 15 feet above the ground. How long is the ladder?
Find any stationary points of the function from 1a. An use the first derivative test to see whether they are local maximum or local minimum of f(x).
Find the distance between two ships from the word problem and From a lighthouse, the lighthouse keeper sees two ships
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