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OpenStudy (anonymous):
To determine when the populations will be equal, set the equations equal to each other, and solve for x.
200x + 1,000 = 10(1.5x)
OpenStudy (anonymous):
10*1.5=15
OpenStudy (anonymous):
so it is 1200x=15x
OpenStudy (anonymous):
explain ?
OpenStudy (michele_laino):
hint:
we can use the Taylor's expnation at first order of the exponential function at the right side, so we can write this:
\[\Large 200x + 1000 \cong 1 + \frac{{3 \cdot \ln 10}}{2}x\]
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OpenStudy (anonymous):
because first you multiply 10 by 1.5 because of dristributive property
OpenStudy (anonymous):
so you get 15 x
OpenStudy (anonymous):
then you add 200x+1000 to get 1200x
OpenStudy (anonymous):
so 1200x=15x
OpenStudy (anonymous):
The easiast solution would be 0
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OpenStudy (michele_laino):
Please note that, I think that the right side is:
\[\huge {10^{1.5x}}\]
@Abdullahbasra007
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
Thanks @Michele_Laino
OpenStudy (michele_laino):
:)
OpenStudy (anonymous):
can you help me with one more?
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OpenStudy (michele_laino):
ok!
OpenStudy (anonymous):
1) A system of equations can be created with the two functions to determine when the populations will have the same population output value, y.
y = 200x + 1,000
y = 10(1.5x)