Answer:
Step-by-step explanation:
Here is an illustration of the problem:
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A t J
Alex and Jo start from their separate homes and drive towards one another. The t indicates the time at which they meet, which is the same time for both. Filling in a d = rt table:
d = r x t
Alex 14 t
Jo 6 t
The formula for motion is d = rt, so that means that Alex's distance is 14t and Jo's distance is 6t.
14t 6t
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A t J
The distance between them is 5 miles, so that means that Alex's distance plus Jo's distance equals 5 miles. In equation form:
14t + 6t = 5 and
20t = 5 so
t = .25 hours or 15 minutes.
If they leave their homes at 3 and they meet 15 minutes later, then they meet at 3:15.
we know that
the area of the complete square is equal to
where
b is the length side of the square
so
m²
the area of one corner is equal to the area of a triangle
so
the area of 
corners is equal to
the area A of the resulting figure as a function of x is equal to
area of the square minus the area of corners
m²
the answer is
m²
9=3^2
3^(2x)=(3^2)^(3x-4)
3^(2x)=3^(6x-8)
2x=6x-8
0=4x-8
8=4x
2=x
Answer:
25%
Step-by-step explanation:
The first doubling, from 20 to 40 occurs in a little more than 3 years, so the multiplier each year is a little less than 2^(1/3) ≈ 1.26. That is, each year is a little less than 26% more than the previous year.
The graph also goes near the point (8, 120), so grows by a factor of 6 in 8 years. That suggests a multiplier of 6^(1/8) ≈ 1.251. Each year is about 25.1% more than the previous year.
Both of these multipliers represent yearly growth rates near 25%.
___
Using the "rule of 72", the product of doubling time and percentage growth is about 72. So, for a doubling time of 3 years, the percentage growth is predicted to be near 72/3 = 24 percent.
All of these estimates help you choose the correct answer: 25%.
