An investment earns 4.3% interest compounded continuously. How fast is the investment growing when its value is $5000? The rate of growth is $ per year.

If ​$8000 is invested at 7​% compounded​ continuously, what is the amount after 2 years?

A company decides to change its floor plan from cubicle to open office. This will bring in a constant stream of $1,000 in extra income annually. If the company invests this extra income in an account that earns 2.5% continuously compounded interest for ten years, is it worth the change? The change in floor plan costs $7,000.

Greg Tobin wishes to invest a $5000 bonus check into a savings account that pays 6.3% interest. Find how many years it will take for the $5000 to grow to at least $11,000 if interest is compounded(a) quarterly. (b) continuously.

An investment of $10,000 earns interest at an annual rate of 6.7% compounded continuously. Find the instantaneous rate of change in the amount in the account at the time the amount is equal to $14,907.  Round to the nearest cent. $                     per year.