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You plan to retire when you are 65th years old. You are now 25 years old. You plan to buy a pension annuity that will pay you $100,000 per year starting one year after you turn 65 and continuing until you celebrate your 80th birthday. The pension plan requires you make equal quarterly contributions starting one quarter after your 25th birthday and until you have reached your 65th birthday. If the interest rate assumed throughout this plan is 4% per year, what is the quarterly contribution (or policy premium)?
ANSWER: Quarterly premium _____________
Find out the area of the region enclosed by y = x 2 & y =√x . Solution Firstly, just what do we mean by "area enclosed by". This means that the region we're interested in
a box contains 4 white and 6 green balls.Two balls are drawn randomly with replacement.Show the probability on tree dig.
A cylindrical hole with a radius of 4 inches is cut through a cube. The edge of the cube is 5 inches. Determine the volume of the hollowed solid in terms of π. a. 125 - 80π
Function of a Function Suppose y is a function of z, y = f(z) and z is a function of x, z = g(x)
Velocity Problem : Let's look briefly at the velocity problem. Several calculus books will treat it as its own problem. . In this problem we are given a position function of an
Now we have to look at rational expressions. A rational expression is a fraction wherein the numerator and/or the denominator are polynomials. Here are some examples of rational e
(3x+2)^2 d^2y/dx^2+3(3x+2)dy/dx-36y=3x^2+4x+1
Theorem, from Definition of Derivative If f(x) is differentiable at x = a then f(x) is continuous at x =a. Proof : Since f(x) is differentiable at x = a we know, f'(a
Multiply and divide by root2, then root2/root2(sinx+cosx) = root2(sinx/root2 + cosx/root2) = root2(sinx cos45+cosx sin45) = root2(sin(x+45))
What is Partially Ordered Set? Let S = {a,b,c} and A = P(S). Draw the Hasse diagram of the poset A with the partial order ⊆ (set inclusion). Ans: Let R be a relation define
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