Karen wants to invest $750 per quarter for a period of 25 years in order to accumulate a value of $120,000. What minimum annual rate (compunded quarterly) would Karen need to receive to reach her goal?

Step-by-step explanation:

For Compound Interest with continuous deposit,

We have that:

Using Integrating factor: =

Taking Integrals from 0 to t

Now substituting back C

We have:

If initial deposit =$750, Continuous Deposit = 750, t= 4X 25 years=100

answer:      

step-by-step explanation:

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w