The relative growth rate for a certain type of bacteria population is 85% per hour. A small culture has formed and in just 2 hours the count shows to be 12,500 bacteria in the culture. What is the initial number of bacteria in the culture?
Show work if you can.

Initial populatin: 3652 bacteria

Step-by-step explanation:

The rate is 85% per hour.

Let x be the initial population.

After 1 hour:

x1=x+85%×x=x+0.85x=1.85 x

After another hour:

x2=x1+85%×x1=1.85 x1=1.85² x

But x2=12500.

12500=1.85² x

x=12500/1.85²=3652.3 bacteria

Since you cannot have fractions of a bacteria, the initial population was 3652.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

i think asking google will you get the answer to that question