Answer:
2 hours: 3968 <u>[I don't understand the $ sign in the answer box]</u>
At midnight: 12137
Step-by-step explanation:
The bacteria are increasing by 15% every hour. So for every hour we will have what we started with, plus 15% more.
The "15% more" can be represented mathematically with (1 + 0.15) or 1.15. Let's call this the "growth factor" and assign it the variable b. b is (1 + percent increase).
Since this per hour, in 1 hour we'll have (3000)*(1.15) = 3450
At the end of the second hour we're increased by 15% again:
(3450)*(1.15) = 3968.
Each additional hour add another (1.15) factor, If we assign a to be the starting population, this can be represented by:
P = a(1.15)^t for this sample that increase 15% per hour. t is time, in hours.
If a represents the growth factor, and P is the total population, the general expression is
P = ab^t
Using this for a = 3000 and b = 1.15, we can find the total population at midnight after starting at 2PM. That is a 10 hour period, so t = 10
P = (3000)*(1.15)^10
P = 12137
Y= 2 (x^2-3x+2)
y= 2 (x-1) (x-2)
x=2 and x=1
Answer:
60
Step-by-step explanation:
Substitute 50 for y in the formula
5x+10y=800
5x+10*50=800
5x+500=800
5x=800-500
5x=300
x=300/5
x=60
Area = 267
perimeter = 72
area- solve for the area of the 18 by 10 section, then the area of the 7 by 21 section. once you have those, determined the size of the shared area between those two and subtract from one of them.
perimeter- just add
Answer:
B
Step-by-step explanation:
