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Ray Of Light [21]
3 years ago
15

A country's population in 1994 was 140 million. In 1998 it was 146 million. Estimate the population in 2011 using the exponentia

l growth formula. Round your answer to the nearest million
Mathematics
1 answer:
serious [3.7K]3 years ago
7 0

Answer:

Estimated To Be 167 Million

Step-by-step explanation:

The exponential growth formula is given by

where: P is the population of the country, t years after the initial year (i.e. in this case, 1994).  is the initial population of the country (i.e. the population of the country in 1994).

r is the growth rate of the population and

t s the number of years after the initial year.

We obtain the value of r by comparing the growth between 1994 and 1998.

Here: P = 146, , and t = 4 years

Thus To estimate the population of the country in 2011, we note that 2011 is 17 years after 1994.

Thus, the population of the country in 2011 can be estimated to be

million

Therefore, the population of the country in 2011 can be estimated to be 167 million to the nearest million

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Suppose that an object whose is 10th weighs 50 N find the weight of an object whose is 6 kg
Nady [450]
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Plug it into the equation f = ma

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3 years ago
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3 0
3 years ago
Please help :)))) ( attachment )
Anastaziya [24]
Let,
f(x) = -2x+34
g(x) = (-x/3) - 10
h(x) = -|3x|
k(x) = (x-2)^2

This is a trial and error type of problem (aka "guess and check"). There are 24 combinations to try out for each problem, so it might take a while. It turns out that 

g(h(k(f(15)))) = -6
f(k(g(h(8)))) = 2

So the order for part A should be: f, k, h, g
The order for part B should be: h, g, k f
note how I'm working from the right and moving left (working inside and moving out).


Here's proof of both claims

-----------------------------------------

Proof of Claim 1:

f(x) = -2x+34
f(15) = -2(15)+34
f(15) = 4
-----------------
k(x) = (x-2)^2
k(f(15)) = (f(15)-2)^2
k(f(15)) = (4-2)^2
k(f(15)) = 4
-----------------
h(x) = -|3x|
h(k(f(15))) = -|3*k(f(15))|
h(k(f(15))) = -|3*4|
h(k(f(15))) = -12
-----------------
g(x) = (-x/3) - 10
g(h(k(f(15))) ) = (-h(k(f(15))) /3) - 10
g(h(k(f(15))) ) = (-(-12) /3) - 10
g(h(k(f(15))) ) = -6

-----------------------------------------

Proof of Claim 2:

h(x) = -|3x|
h(8) = -|3*8|
h(8) = -24
---------------
g(x) = (-x/3) - 10
g(h(8)) = (-h(8)/3) - 10
g(h(8)) = (-(-24)/3) - 10
g(h(8)) = -2
---------------
k(x) = (x-2)^2
k(g(h(8))) = (g(h(8))-2)^2
k(g(h(8))) = (-2-2)^2
k(g(h(8))) = 16
---------------
f(x) = -2x+34
f(k(g(h(8))) ) = -2*(k(g(h(8))) )+34
f(k(g(h(8))) ) = -2*(16)+34
f(k(g(h(8))) ) = 2
5 0
3 years ago
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