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Question: 1. You are starting an ordinary annuity of $680 for 25 years at 5% annual interest. What lump-sum amount would have to be set aside today for this annuity?
2. Your parents are retiring and want to set aside a lump sum earning 8% annual interest compounded quarterly to pay out $5,000 quarterly for ten years. What lump sum should your parents set aside today?
Prove the following statement:Let A be an m x n matrix such that Ax = b is inconsistent for some b in Rm, then rank(A)
Towns A, B, and C form a triangle in which angle A is congruent to angle C. A pilot flies from town A to town B at a heading of 330, then to town C at a heading of 260. At what heading should the pilot fly to return to town A?
How many arrangements are possible?
Find A.M, G.M, H.M, median and mode of following data and find the missing frequencies from the data given below if mean is 60.
A baseball thrown directly upward at 96 ft/sec has velocity v(t) = 96 - 32t ft/sec at time t seconds.
An amount of RS. 9800 is lent at a certain rate of interest. After 66 months, an additional amount of RS. 5700 is lent at a rate 3.5 times higher than the former. What was the original rate of interest?
Also, suppose the obstruction is a square, 1m on a side, and is parallel to the screen. Express the area of the shadow as a function of the distance from the light to the obstruction.
MARGINAL AVERAGE COST Find the average cost function associated with the total cost function C¯ of Exercise.
A camera factory has fixed production cost of $50,000 plus $75 for each camera produced. Its cost of production function can be written as C(x) = 75x + 50,000.
Find the interval and radius of convergence for the following two power series - n=1Σ∞ 2nxn/n!
Let f : [0,1]-->[0,1] be a continuous function. Show that there exists a real number x in [0,1] such that f(x)=x (apply the intermediate value theorem to the function f(x) -x).
There are6students in a small class. To make a team, the names of3of them will be drawn from a hat. How many different teams of3students are possible?
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