I believe the answer would be D. Because, 10*12= 120 and 400/120= 3.33
Since you are talking about money, you would round up.

Meaning that the answer should be D.

7 0

3 years ago

3. Five less than a product of 3 and a number is 40.

Vesnalui [34]

The equation would be: 3x-5=40

6 0

3 years ago

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Find the general solution of the given differential equation. x dy dx − y = x2 sin(x) y(x) = Correct: Your answer is correct. Gi

trasher [3.6K]

Divide both sides by $x^2$ - note that this means we can't have $x=0$ :

$x\dfrac{\mathrm dy}{\mathrm dx}-y=x^2\sin x$

$\dfrac1x\dfrac{\mathrm dy}{\mathrm dx}-\dfrac1{x^2}y=\sin x$

Then the left side reduces to the derivative of a product,

$\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1xy\right]=\sin x$

$\dfrac1xy=\displaystyle\sin x\,\mathrm dx=\cos x+C$

$y=x\cos x+Cx$

This solution is continuous everywhere, but accounting for the singular point $x=0$ , the largest interval over which it is defined would be $(0,\infty)$ or $(-\infty,0)$ .

4 0

3 years ago