What is -8 -10 ÷ 2+8=?
1 answer:
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Given equation is
It gives approx world population in billions for t years since 2004.
Answer(a):
Compare with growth formula P=a(b)^t, we get:
growth factor b = 1.0126
We know that if r is the percent rate of growth then
1+r=b
1+r=1.0126
r=0.0126
Hence the yearly percent rate of growth of the world population is 0.0126 or 1.26%.
Answer(b):
To find worlds population in 2004, plug t=0 because year is counted from 2004.
Hence answer is 6.40 billion.
To find worlds population in 2018, plug t=2018-2004=14 because year is counted from 2004.
Hence answer is approx 7.63 billion.
Answer(c):
Average rate of change of the world population between 2004 and 2018 is given by:
Hence answer is approx 0.0878571428571 billion per year.
To convert it into millions, multiply by 1000
So we get 0.0878571428571*1000 = 87.8571428571
Which is approx 88 to the nearest integer
Hence final answer is approx 88 millions per year.
Given:
The graph of an invertible function <em> </em>is given.
To find:
The value of .
Solution:
We know that, if the graph of an invertible function passes through the point (a,b), then the inverse function
passes through the point (b,a).
From the given graph it is clear that the graph of the function passes through the points
.
So, the inverse function must be passes through the point
.
Therefore, the value of inverse function is at
. So, the value of
is
.