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Mathematics 9 Online
OpenStudy (anonymous):

Help Please

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: \[\Large 200x + 1000 \cong 1 + \frac{{3 \cdot \ln 10}}{2}x\]

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

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?

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)

OpenStudy (michele_laino):

it is the same problem of above

OpenStudy (anonymous):

ok nvm sorry

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