We use P = i•e^rt for exponential population growth, where P = end population, i = initial population, r = rate, and t = time
P = 2•i = 2•15 = 30, so 30 = 15 [e^(r•1)],
or 30/15 = 2 = e^(r)
ln 2 = ln (e^r)
.693 = r•(ln e), ln e = 1, so r = .693
Now that we have our doubling rate of .693, we can use that r and our t as the 12th hour is t=11, because there are 11 more hours at the end of that first hour
So our initial population is again 15, and P = i•e^rt
P = 15•e^(.693×11) = 15•e^(7.624)
P = 15•2046.94 = 30,704
Answer:
D. 2/10, 3/10, 4/10
Step-by-step explanation:
D. is the correct answer because the fractions have a common denominator of 10, whereas the other answer choices do no.
D. has similar fractions
Good luck to you!
Answer:
-4
Step-by-step explanation:
Let us rearrange this equation by dividing both sides by (-3):
y=-4x-2
And since the equation of a line is y=mx+b, where slope=m,
then the slope of our line is -4
<em>I hope this helps! :)</em>
Answer:
Nolan's net monthly income is $1168.
Step-by-step explanation:
Nolan earns $16 an hour and he works 100 hours per month.
So, the monthly gross income of Nolan will be $(16 × 100) = $1600.
Now, his employer takes out 25% for income tax and 2% for employment insurance.
So, the total deduction from his gross income is (25 + 2) = 27% as income tax and employment insurance.
Therefore, Nolan's net monthly income is 
dollars. (Answer)
