A certain population of bacteria has an average growth rate of 0.06 bacteria per hour. The formula for the growth of the bacteria's population is ࡭ = ࢕ࡼ (૛. ૠ૚ૡ) where, ࢚૟૙.૙ Po is the original population, t is time in hours, and A is the new population . If the current population of a culture was 3000 bacteria (A) and it started growing 30 hours ago, what was the original size of the bacteria (Po)?

522 bacteria

Step-by-step explanation:

The formula given as growth rate =

A = Po (1 + r)^t

Where:

Po is the original population

t is time in hours = 30

A is the new population = 3000

r is growth rate = 0.06

3000 = Po × ( 1 + 0.06)^30

3000 = Po × 1.06^30

Divide both sides by 1.06^30

Po = 3000/1.06^30

Po = 522.33039273 bacteria

Approximately = 522 bacteria

The original size of the bacteria was 522 bacteria

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + * x

4500-875 =   * x

3625= * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x =  

x= $2416.6