Answer:
Therefore after 3 years the height of these tree will be same.
Step-by-step explanation:
Given that,
Type A is 2 feet tall and grows at a rate of 17 inches.
Type B is 10 feet tall and is growing at a rate of 5 inches.
1 feet = 12 inches,
2 feet= (12×2) inches = 24 inches
5 feet= (12×5) inches = 60 inches
Let after t years, the height of these tree will be same.
After t years, the height of type A is =(24+17t)
After t years, the height of type B is =(60+5t)
According to the problem,
24+17t=60+5t
⇒17t-5t=60-24
⇒12t = 36
⇒t = 
⇒t=3
Therefore after 3 years the height of these tree will be same.
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.
19=10%X. 19/.10=190. X=190 :)
A. -4/11 would be the correct answer
