Compound Interest

A man has $50,000 invested at 12% compounded quarterly at the time he retires. If he wishes to withdraw money every 3 months, for the next 7 years, what will be the size of his withdrawals?

Sinking Fund

$6000 is borrowed at 10% compounded semi-annually. The amount is to be paid back in 5 years. If a sinking fund is established to repay the loans and interest in 5 years, and the fund earns 8% compounded quarterly, how much will have to be paid into the fund every 3 months?

Truth Table

Construct a truth table for the statement below: p^(~pVq) Is the statement a tautology?

Inverse of a 3 x 3 Matrix

Find the inverse of the matrix: 9 6 -3 2 6 4 -3 2 1

Linear Programming : Feasible Sets ( Feasible Areas ) (5 Problems)

****NOTE---In the attached file, the possible solutions to each powerpoint slide are in the "Note section". There are 5 powerpoint slides and each has notes attached for possible solutions. I need assistance in solving the problems.

derivatives

Find the derivatives of the functions y=x^2 + 2x/x y=3x^2 - 4x/6x f(x)= 3^sqrt x (sqrt x + 3) f(x)= 3x- 2/2x - 3

Derivatives ( 4 Problems)

Find the derivative of the functions. y= 1/ x-2 s(t)= 1/ t^2+ 3t- 1 f(x)= 1/ (x^2- 3x)^2 y= 1/ (sqrt x + 2)

derivatives again

y= 4x^3/2 /x

Derivatives (3 Problems)

find the derivative of the functions. f(x)= x(3x - 9)^3 y= x sqrt(2x + 3) y= t^2 sqrt (t - 2)

Logic : Sets

Find A U B where A= {x | x is an even integer greater than 3} B = {x | x is an odd integer greater than 10}