Evaluate the balance if interest is compounded – Business Management

1. Suppose $5000 is invested at an annual interest rate of 10%. Compute the balance after 10 years if interest is compounded
(a) annually, (b) quarterly, (c) monthly, (d) continuously

2. How much should be invested today at 7% compounded quarterly so that it will be worth $5000 in five years?

3. Find all second derivatives ∂2z , ∂2z , ∂2z , ∂2z ∂x2 ∂y∂x ∂x∂y ∂y2

4. Calculate z = f (x, y) = 2×2 – 2xy – 16x + 5y2 + 2y + 34

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