We have been given that a particular type of cell increases by 75% in number every hour. We are asked to find the number of cells present at the end of 12 hours if there are initially 4 of these cells.
We will use exponential growth formula to solve our given problem.
, where,
y = Final amount,
a = Initial amount,
r = Growth rate in decimal form,
x = Time.
Upon substituting initial value 
and 
in above formula, we will get:
Therefore, there will be approximately 3300 cells at the end of 12 hours.
Answer:
11x - 8
Step-by-step explanation:
If you have x- + 5 - 13 + 12x, all we are doing is combining like terms. First, 5 - 13 = -8. Then, -x + 12x is the same as doing 12x - x. That gives us 11x. The answer would be 11x - 8 when you put -8 and 11x together in the expression.
Answer:
<em>He bought 6 hotdogs and 2 drinks</em>
Step-by-step explanation:
<u>System of Equations</u>
Kevin and his children went into a restaurant and bought $31.50 worth of hotdogs and drinks. Each hotdog costs $4.50 and each drink costs $2.25.
To solve the system of equations, we'll call the variables:
x = number of hotdogs
y = number of drinks
The first condition yields the equation:
4.50x + 2.25y = 31.50 [1]
It's also known he bought 3 times as many hotdogs as drinks, thus:
x = 3y [2}
Substituting [2] in [1]:
4.50(3y) + 2.25y = 31.50
Operating:
13.5y + 2.25y = 31.50
15.75y = 31.50
y = 31.50/15.75
y = 2
And
x = 3*2 = 6
He bought 6 hotdogs and 2 drinks
The y-intercept of 
and the y-intercept of 
are equal
The equations are given as:
Make y the subject in both equations
<u>First equation</u>
<u>Second equation</u>
A linear equation is represented as:
Where b represents the y-intercept
So: By comparison,
--- the y-intercept of the first equation
--- the y-intercept of the second equation
2 = 2.
Hence, the y-intercept of and the y-intercept of are equal
Read more about y-intercepts at:
brainly.com/question/4015585
