Five and nine hundred twenty-one thousandths
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:
The length of the box is 10 feet.
Step-by-step explanation:
You have to work backwards to find volume, so just divide the volume (100) by the height (2) then divide that by the width (5) and you get your answer, 10
Answer:
The area of the copper circle is <u>31.4 inches</u>.
Step-by-step explanation:
Given:
An artist used silver wire to make a square that has a perimeter of 40 inches.
She then used copper wire to make the largest circle that could fit in the square, with perimeter of 40 inches.
Use 3.14 to represent π.
Now, to find the area of the copper circle.
Perimeter of square = 40 inches.
So, we get the side of square by putting formula:
Dividing both sides by 4 we get:
Now, as the side of square is 10 inches it is the diameter of the circle as the square is fit inside the circle:
For getting the area of circle we find the radius:
Radius (r) = 
Now, putting the formula to get the area of the circle:
Therefore, the area of the copper circle is 31.4 inches.
Answer:
3.285714286
Step-by-step explanation:
