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Question: Solve the given problems by determinants .Set up appropriate systems of equations. All numbers are accurate to at least two significant digits.
A person spent 1.10 h in a car going to an airport, 1.95 h flying in a jet, and 0.520 h in a taxi to reach the final destination. The jet's speed averaged 12.0 times that of the car, which averaged 15.0 mi/h more than the taxi. What was the average speed of each if the trip covered 1140 mi?
Suppose there is a hole in the can of paint and 18 lb of paint leaks steadily out of the can during the man's ascent. How much work is done by the man against gravity in climbing to the top?
Find the present value of an ordinary annuity of 60 payments of $5000 each made quarterly and earning interest at 8%/year compounded quarterly.
Find the probability that the first k events
hardware store sells house numerals. It has large quantities of the numerals 3, 5 and 8 but is out of all the others. How many different house numbers, with no more than three digits, can be made from these numerals?
Define the market orientation. What is the time frame for the orientation when it was prominently used? Give an example of how a company would market a product using this orientation.
Describe the kernel of the linear transformation T:P1to r defined by T(p)= definite integral from 0 to 1 p(x)dx where P1 is the set of continuous linear function on [0,1], and R is the set of real numbers.
Find the slope of the tangent line to the graph of f at x = 4, given that f(x) = -x^2 + 4sqrt(x)
Which is more likely to need to rely on borrowed funds? In which bank would you rather be a depositor? In which bank would you rather be a shareholder? Write a comparative analysis.
Then, explain the meaning of either a vertical shift of 10 units or a horizontal shift of ten units. Be sure to explain what this shift would mean in the context of the function.
Roger bought season tickets to professional basketball games. The cost was $945.60. The season package included 36 home games.
The initial population of a town is 3500, and it grows with a doubling time of 10 years. What will the population be in 12 years?
Prove that the regression line passes through the centroid
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