Posted by **Anonymous** on Monday, March 14, 2011 at 5:04pm.

a bank account earns 7% annual interest compounded continuously. you deposit $10,000 in the account, and withdraw money continuously from the account at a rate of $1000 per year.

a. write the differential equation for the balance, B, in the account after t years

b. what is the equilibrium solution to the differential equation?

c. find the solution to the differential equation.

d. how much is in the account after 5 years?

e. graph the solution. what happens to the balance in the long run?

## Answer this Question

## Related Questions

- math - You receive $12,000 and looking for a bank to deposit the funds. Bank A ...
- math - You receive $12,000 and looking for a bank to deposit the funds. Bank A ...
- differential equation - If P(t) is the amount of dollars in a savings bank ...
- calc2 - At what constant, continuous annual rate should you deposit money into ...
- Finance - You receive $12,000 and looking for a bank to deposit the funds. Bank ...
- Finance - You receive $12,000 and looking for a bank to deposit the funds. Bank ...
- math - I have been staring at this problem forever, and cant seem to dig it up ...
- math - Suppose that you have $12,500 to invest over a 4 year period. There are ...
- math models - Tanisha wants to have $1000 in her bank account in 5 years. How ...
- math - you deposit $2200 in an account that pays 3% annual interest. after 15 ...