Question

My questions are: #1) Determine the account balance at 4 years if $20,000 was invested in an account that compounds daily at 4.5% per year.#2) Determine the account balance at 5 years if $20,000 was invested in an account that compounds continuously at 4.5% per year.#3) A bacterial culture grows from 10 bacteria at 1.5% per minute starting at 7:00 a.m. find bacteria count after 12 hours if continues growth is assumed. (round down to the nearest whole bacterium)

Answer 1

We have the following formula:

`P(t)=10\cdot(1.015)^t`

where t is the amount of minutes we have waited. So in this case we have 12hours, therefore we have waited 12*60=720 minutes

so we have that after 720 minutes the population of bacteria is

`10\cdot(1.015)^(720)=452428.98\approx452429`

so the answer is 452429