Hank is studying a population of bacteria and notices that the bacteria population decreases by 5% each hour. The function that represents the population of bacteria has a constant percent rate of change.

Pupulation = A*0.95^t

where t is the numer of hours that has passed, and A is the initial population of the bacteria.

Step-by-step explanation:

If the initial population of bacteria is A.

After one hour we can see that the population has decreaesed by 5%, so the new population is

P = A - 0.5*A = 0.95*A

After other our, the population decreased by 5% again, the new population is:

P = (0.95*A) - 0.5*(0.95*A) = 0.95*0.95*A = A*0.95^2

And so on.

This is an exponential decay, so we can write this relation as:

Pupulation = A*0.95^t

where t is the numer of hours that has passed, and A is the initial population of the bacteria.

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

70.30

step-by-step explanation: