Answer:
Simplifying
y = 1000X
Solving
y = 1000X
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Simplifying
y = 1000X
Step-by-step explanation:
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
Answer:
86
Step-by-step explanation:
(2+2=4) 4 to the 3rd power is 64. 150 minus 64 is 86
Answer:
Surface area of a cylinder = 2πrh+2πr²
r = radius
h = height
Step-by-step explanation:
Answer:
slope of n =⅔
Step-by-step explanation:
The product of the slope of two perpendicular lines(m1•m2) must equal -1.
This means that if you have the slope of one line,find it's negative reciprocal to obtain the slope of the other.
Thus,-1/(-3/2)=⅔
