The population of bacteria in a petri dish doubles every 24 h. the population of the bacteria is initially 500 organisms. how long will it take for the population of the bacteria to reach 800? round your answer to the nearest tenth of an hour.

The answer is 16.3 hours.

Step-by-step explanation:

The population of bacteria in a petri dish doubles every 24 h so it is an exponential growth.

The formula for such growth is P(t) = P(initial)*2^(t/24) where t is time in hr.

When the initial population is 500,  time to reach 800 is

800=500*2^(t/24)

2^(t/24)=8/5

(t/24)Log(2)=Log(8/5)

t=24*Log(8/5)/Log(2)

=16.27

=16.3 hours

explanation:

the loan estimate encourages consumers to shop. since it is the lenders who are required to issue a standardized loan estimate in a specific time frame, this way consumers are provided an opportunity to compare lenders and their products. otherwise consumer wouldn't know the benefits offered by other lenders.  

if a loan originator does not provide a loan estimate within 3 business days of receiving a completed loan application, that lender is in violation. lenders are required to issue a loan estimate within 3 days of applying for a loan or within 7 days prior to closing. having a loan estimate has following information.

not having loan estimate won't give you an idea of money to be borrowed.

you get to know your interest rates.

you also get to know if your interest rate can or may vary.

not having a good faith estimate can keep you unaware of aforementioned points.