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.
For Wyatt's recipe the rate is:
r1 = 3.15 / 9
r1 = 0.35
For Cora's recipe the rate is:
r2 = 2.4 / 8
r2 = 0.3
The difference between both recipes is:
r1-r2 = 0.35 - 0.3 = 0.05
Answer:
0.05 cups of flour per shortcake less is needed for Cora's recipe
Earthquakes with a magnitude of 3 are usually not felt or are only felt by a few people at rest (mostly on higher floors of buildings).
Answer:
Step-by-step explanation:
cost
d1 85
d2 110
d3 135
d4 160
