Simplify (3mn)4 (with work please)
1 answer:
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Answer:
<em>It will take 26.34 minutes for the population to reach 5 times its initial value</em>
Step-by-step explanation:
<u>Exponential Growing</u>
The population of bacteria grows at a rate expressed by the equation:
Where t is in minutes.
We need to know when the population will reach 5 times its initial value. The initial value can be determined by setting t=0:
Now we find the time when the population is 5*256=1,280. The equation to solve is:
Dividing by 256:
Taking natural logarithms:
Applying the logarithm properties:
Solving for t:
It will take 26.34 minutes for the population to reach 5 times its initial value
Answer:
Therefore,
.......Equation
Angelica's Brother's age is 11 years old.
Step-by-step explanation:
Given:
Let the current age of Angelica's Brother be 'x' years old
Angelica's current age is 13 years old,
According to given condition,
Therefore the Equation will be,
On solving this equation we get
Therefore,
Angelica's Brother's age is 11 years old.
Therefore,
.......Equation
Angelica's Brother's age is 11 years old.