We have a piecewise function.
Therefore, to find the function, we must evaluate each domain separately.
We have then:
For 
:
The function for this domain is:
For 
:
The function for this domain is:
Where,
Substituting:
For 
:
The function for this domain is:
Answer:
<h2>
The interest ethan will pay is $164.25</h2>
Step-by-step explanation:
To calculate the interest paid by ethan on the borrowed bike using the formula.
Simple Interest = Principal * rate * time/100
Principal = $2,190, rate = 2.5%, time = 3years
On substitution
SI = 
The interest ethan will pay is $164.25
This expression can't be factored with rational numbers.
First set the equation equal to y by adding x to each side, then divide everything by 8. then set x to zero and solve to find the y - intercept of 1/2 which is just 4/8 reduced. you get this answer because x/8 becoming 0/8 is just 0 leaving you with only 1/2. then reset the equation with x and set y to zero and solve for x to get the x- intercept of -4. you get this by subtracting 1/2 from both sides leaving you -1/2=x/8 and multiply by 8 to get -4=x
Given:
The growth of a sample of bacteria can be modeled by the function
where, b is the number of bacteria and t is time in hours.
To find:
The number of total bacteria after 3 hours.
Solution:
We have,
Here, b(t) number of total bacteria after t hours.
Substitute t=3 in the given function, to find the number of total bacteria after 3 hours.
Therefore, the number of total bacteria after 3 hours is 119.1016.
