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3 years ago

23800 is 34% of annual income. what is the income?

Mathematics

1 answer:

BARSIC [14]3 years ago

5 0

Hey there!

If you ever see the word "is" in a story problem, it means that there is an equal sign there. Let's apply that to this.

23800 =(is) 0.34i (income)

Now, we can solve for i by dividing.

23800/0.34= 70,000

Therefore, the annual income is $70,000.

I hope this helps! Have a great day!

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Step-by-step explanation:

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3 years ago

Solve - 2x - 7 > X+ 8. O A. x<-3 O B. x<-5 O C. x>-5 O D. x>-3

Rzqust [24]

Answer:

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Step-by-step explanation:

- 2x - 7 > x+ 8

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Subtract 8 from each side

-7-8 > 3x+8-8

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2 years ago

If x = 13 then the value of \sqrt{x-5} is

statuscvo [17]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

25% of 176 is what number in equation forms

harina [27]

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3 years ago

Solving separable differential equation DY over DX equals xy+3x-y-3/xy-2x+4y-8

Ivanshal [37]

It looks like the differential equation is

$\dfrac{dy}{dx} = \dfrac{xy + 3x - y - 3}{xy - 2x + 4y - 8}$

Factorize the right side by grouping.

$xy + 3x - y - 3 = x (y + 3) - (y + 3) = (x - 1) (y + 3)$

$xy - 2x + 4y - 8 = x (y - 2) + 4 (y - 2) = (x + 4) (y - 2)$

Now we can separate variables as

$\dfrac{dy}{dx} = \dfrac{(x-1)(y+3)}{(x+4)(y-2)} \implies \dfrac{y-2}{y+3} \, dy = \dfrac{x-1}{x+4} \, dx$

Integrate both sides.

$\displaystyle \int \frac{y-2}{y+3} \, dy = \int \frac{x-1}{x+4} \, dx$

$\displaystyle \int \left(1 - \frac5{y+3}\right) \, dy = \int \left(1 - \frac5{x + 4}\right) \, dx$

$\implies \boxed{y - 5 \ln|y + 3| = x - 5 \ln|x + 4| + C}$

You could go on to solve for $y$ explicitly as a function of $x$ , but that involves a special function called the "product logarithm" or "Lambert W" function, which is probably beyond your scope.

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2 years ago