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1. Mike's Sport Shop deposits $3,600 at the end of each year for 12 years at 7% annual interest.
a. How much will this ordinary annuity be worth at the end of the 12 years? Answer:
b. How much more will this annuity be worth (annuity due) if Mike deposits the money at the beginning of each year instead of at the end of each year? Answer:
2. Barb and John Reed want to know how much they must deposit in a retirement savings account today to have payments of $1,750 every six months for 15 years. The retirement account is paying 8% annual interest, compounded semiannually.
Find the condition that the curve y = mx + c to be a tangent to the parabola y^2 = 4 ax and also determine the point of contact.
The perimeter of a rectangular lot is 56 meters. The length exceeds the width by 12 meters. Find the length of the lot.
What interest rate would he need to make his goal come true.
what are the length and width of a rectangle traffic sign if the length exceeds the width by 15 inches and the perimeter is 158.
Find an 85 percent confidence interval
Make a confidence interval at the 95 percent level
Mr. Smith feels that each day his dog should have at least 8 units of protein, 5 units of carbohydrates, and 16 units of fat. How many cans of each dog food should he give to his dog each day to provide the minimum requirements at the least cost?
On each play the probability of winning is 0.432 and of losing 0.568. If the gambler begins with $2, what is the expected number of times that he will play before quitting? (Round your answer to 3 decimal places.)
Develop a model to represent the total profit for selling x necklaces. How many necklaces will the student have to sell to break-even?
Objective questions based on regression.
Suppose that E is a normed linear space, and C is a subset. Prove that C is weakly bounded if and only if C is norm bounded. Conclude that weakly convergent sequences in E are bounded.
An airplane is flying on a compass heading of 300 degrees at 450 mph. A wind is blowing with the bearing 205 degrees at 85 mph. Find the component form of the velocity of the airplane and find the actual ground speed and direction of the plane.
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