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Novosadov [1.4K]

3 years ago

8

Chen wants to buy a pair of pants that regularly cost $54 . Today, the pants are on sale for 60% of the original price.

1 answer:

s2008m [1.1K]3 years ago

3 0

Do a proportion
60/100= x/54

Cross multiply and divide
54 x 60= 3,240
3,240 divided by 100 is 32.4

Now subtract
54- 32.4= 21.6
Answer is $21.6

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Problem 4: Solve the initial value problem

pishuonlain [190]

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$\ln\left|\dfrac{y-2}{y+1}\right| = 3x + C$

$\dfrac{y-2}{y+1} = e^{3x + C}$

$\dfrac{y-2}{y+1} = Ce^{3x}$

With the initial condition y(0) = 1, we find

$\dfrac{1-2}{1+1} = Ce^{0} \implies C = -\dfrac12$

so that the particular solution is

$\boxed{\dfrac{y-2}{y+1} = -\dfrac12 e^{3x}}$

It's not too hard to solve explicitly for y; notice that

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Then

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$y+1 = \dfrac6{2+e^{3x}}$

$y = \dfrac6{2+e^{3x}} - 1$

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