Answer:
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Answer: x(.25)+(4+x(.25))=y
Step-by-step explanation:
1. set up the equation-
Ali has an unknown amount of quarters so make that x.
We know quarters are 25 cents so .25 if he has one quarter you put that one quarter into x, 2 into x and so on
Tom has 4 more, since he has 4 more it is 4+x and one again times .25
2. that is it
If the rate continues, in nine years there will be about 300 employees
The correct answer is easy <u><em>1x=12y</em></u>
Answer:
After 8 hour there will be 317.64 pounds of algae.
y-intercept: (0, 50)
Step-by-step explanation:
At time = 0 hours, there are 50 pounds of algae, after 3 hour there will be 100 pounds of algae, after 6 hour there will be 200 pounds of algae, and so on.
Exponential growth is modeled by the following equation:
y = x0*(1 + r)^t
where x0 is the amount of algae at the beginning, r is the rate of change, and y is the amount of algae after t hours. Replacing with data:
100 = 50*(1 + r)^3
2 = (1 + r)^3
ln(2) = 3*ln(1 + r)
r = exp(ln(2)/3) - 1
r = 0.26
This result can be checked as follows
y = 50*(1 + 0.26)^6 = 200
After 8 hours:
y = 50*(1 + 0.26)^8 = 317.64
The y-intercept corresponds to t = 0
y = 50*(1 + 0.26)^0 = 50
