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A 30 year annuity immediate with annual payments pays 2000 in years 1, 3, 5, ..., 29 and pays 6000 in years 2, 4, 6, ..., 30. Calculate the present value of this annuity at an annual effective interest rate of 8%.
Prove the proposition. Let X be a metric space and Y be a submetric space of X. If Y is complete, then Y is closed in X. Conversely, if Y is closed in X and X is complete, then Y is complete.
Find the y-coordinate of the point (3+h, ) if this point lies on the graph of the function F(x) = (3/x) - x the y-coordinate of the point is.
This spinner is spun 36 times. The spinner landed on A 6 times, on B 21 times, and on C 9 times. Compute the empirical probability that the spinner will land on B.
Explain how the formula for standardizing z-scores forces a given normal distribution to have a mean of 0 and a standard deviation of 1.
The demand equation for a product is p = 45 - .01q. Write the revenue as a function of q and find the quantity that maximizes revenue. What price corresponds to this quantity? What is the total revenue at this price?
A trough is 10ft. long and its ends have the shape of isosceles triangles that are 3ft. across at the top and have a height of 1ft. If the trough is being filled w water at a rate of 12ft3/min,
A small business has an average income of $3,000.00 per month with a standard deviation of $250.00. If the income in a given month is $3,300.00, what z-score corresponds to this value?
What is the value of the coefficient of determination for this regression model? Comment on the strength of the regression line for this model.
The quality control department checks 340 CD players and discovers 12 of them are defective. What is the probability that a CD player is not defective?
Prove the identity (n~r) (r~k) = (n~k) ((n-k)~(r-k)), whenever n, r, and k are nonnegative integers with r less than/equal to n and k less than/equal to r:
show that A is an ideal of R and describe the cosets in R/A
A surfboard manufacturing company has determined that the cost function c(x), in hundreds of dollars, for producing x hundreds of boards is c(x) = .2x^2 -.84x + 3.625.
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