Answer:
A
Step-by-step explanation:
The easiest way to figure this out is to substitute in the variables. So for a, 2=-5+7 is correct, and 7=0+7 is correct as well. If you were to look at the other answers, you would see that the equation would not match up. Hope this helps!
The function that represents the growth of this culture of bacteria as a function of time is; P = 1500e^(1.0986t)
<h3>How to calculate Exponential Growth?</h3>
The formula for exponential growth is;
P = P₀e^(rt)
where;
P = current population at time t
P₀ = starting population
r = rate of exponential growth/decay
t = time after start
Thus, from our question we have;
4500 = 1500 * e^(r * 1)
4500/1500 = e^r
e^r = 3
In 3 = r
r = 1.0986
Thus, the function that represents the growth of this culture of bacteria as a function of time is;
P = 1500e^(1.0986t)
For the culture to double, then;
P/P₀ = 2. Thus;
e^(1.0986t) = 2
In 2 = 1.0986t
t = 0.6931/1.0986
t = 0.631 hours
Read more about Exponential Growth at; brainly.com/question/27161222
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Answer:
X=125/64
Step-by-step explanation:
x^2+4 x-5=0
x^2+4x=5
4x^3=5
x^3=5/4
x=5^3/4^3
x=125/64
A=3000(1+3*0.027)=3,243
Interest earned 243
A=5,000×(1+0.018)^(3)=5,274.89
Interest earned 274.89
A=5,000×(1+0.039÷4)^(4×3)=5,617.41
Interest earned 617.41
Total interest 243+274.89+617.41=1,135.3
Total amount Amount after 3 years
3,243+5,274.89+5,617.41=14,135.3
Answer:
Y= 1.5x
Step-by-step explanation:
What you would do is divide all of the minutes by the amount of pages to find how long for each rate for one page. (ex. 18/12, Michael reads 1 page in 1.5 minutes. 12/8, Michael reads 1 page in 1.5 minutes. 30/20, Michael reads one page in 1.5 minutes) Therefore, yes it is proportional, and the equation is y=1.5x (there is no y intercept)
I hope this will help