Step-by-step explanation:
12 2/5
=144/5
=28/8
Hope this helps!!!
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.
Value of x = 7.499
Step-by-step explanation:
We need to find value of x in the equation: 
This can be solved using natural log
Solving:

Subtract 7 from both sides:

Simplifying:


Using rule if f(x)=g(x) then, ln(f(x))=ln(g(x))
So,

Applying log rule: logₐ(x^b)= b logₐ(x)

Divide both sides by 2ln(2)
So, Value of x = 7.499
Keywords: Solving Equations
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