7/9 would be irrational, I think.
Answer:
81 times the original size.
Step-by-step explanation:
AA0ktA=3A0=?=?=25hours=A0ekt
Substitute the values in the formula.
3A0=A0ek⋅25
Solve for k. Divide each side by A0.
3A0A0=e25k
Take the natural log of each side.
ln3=lne25k
Use the power property.
ln3=25klne
Simplify.
ln3=25k
Divide each side by 25.
ln325=k
Approximate the answer.
k≈0.044
We use this rate of growth to predict the number of bacteria there will be in 100 hours.
AA0ktA=3A0=?=ln325=100hours=A0ekt
Substitute in the values.
A=A0eln325⋅100
Evaluate.
A=81A0
At this rate of growth, we can expect the population to be 81 times as large as the original population.
This video might help you because it helped me https://www.khanacademy.org/math/algebra/one-variable-linear-equations/alg1-intro-equations/v/variab...
Answer:
distance driven < 300 miles.
Step-by-step explanation:
Plan A
She needs the car for 3 days.
1 day costs 60 dollars
3 days cost 60*3 = 180 So this is the maximum amount that she can spend
Plan B
She still needs the car for 3 days
1 day costs 20 dollars of the car does not move
3 days costs 3*20 = 60 dollars.
60 + 0.4m < 180 Subtract 60
0.4m < 180 - 60
0.4m < 120 Divide by 0.4
m < 120/ 0.4
m < 300
Answer
so she should drive less than 300 miles.
