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3 years ago

15

A store buys a shirt from their distributor for $15. Then they markup the price by 80%. How much is the store selling the shirt

for

1 answer:

andrew-mc [135]3 years ago

7 0

Answer:

$18.75

Step-by-step explanation:

Change the 80% into its decimal form, which is 0.8. Then, divide $15 by 0.8.

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The general solution of 2 y ln(x)y' = (y^2 + 4)/x is

Sav [38]

Replace $y'$ with $\dfrac{\mathrm dy}{\mathrm dx}$ to see that this ODE is separable:

$2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}$

Integrate both sides; on the left, set $u=y^2+4$ so that $\mathrm du=2y\,\mathrm dy$ ; on the right, set $v=\ln x$ so that $\mathrm dv=\dfrac{\mathrm dx}x$ . Then

$\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v$

$\implies\ln|u|=\ln|v|+C$

$\implies\ln(y^2+4)=\ln|\ln x|+C$

$\implies y^2+4=e^{\ln|\ln x|+C}$

$\implies y^2=C|\ln x|-4$

$\implies y=\pm\sqrt{C|\ln x|-4}$

4 0

3 years ago

Evaluate the expression: –(31 + 2) + 72 – (–5)2.

Rudiy27

Answer:

14

Step-by-step explanation:

Order of operations rules require that we do any work inside parentheses first. Thus,

–(31 + 2) + 72 – (–5)^2

becomes:

-33 + 72 - 25, or

14

Important: Please use " ^ " to denote exponentiation; (-5)2 is incorrect, whereas (-5)^2 or (-5)² is correct.

4 0

3 years ago

Please need help on this question

11Alexandr11 [23.1K]

Answer:

..

Step-by-step explanation:

5 0

2 years ago

Some teachers compared how many years they have been teaching.

Alex_Xolod [135]

Answer:

6

Step-by-step explanation:

The range of a data set is the numbers covered by the data. This means that the range is the difference between the minimum and maximum. The minimum is the smallest point, 2, and the maximum is the largest point, 8. Therefore, since 8-2=6, 6 must be the range.

5 0

2 years ago

Which number represents the solutions to |-2x|=4

posledela

Answer:

2

Step-by-step explanation:

Since there is nothing to solve in the absolute value, take them away and make -2x just 2x. To get x by itself, divide both sides by 2 to get x=2

3 0

3 years ago