Let us assume the original cost of the earphones = x dollars
Then
x * (106/100) = 13.25
x = 13.25 * (100/106)
= 1325/106
= 12.50 dollars
So the actual cost of the earphones was $12.50. The correct option among all the options that are given in the question is the second option or option "B".
Answer:
a=3
Step-by-step explanation:
24= -3(2a-15)-a -->given
24=-6a+45-a -->distribute the -3
24=-7a+45 -->combine like terms
-21=-7a -->subtract 45 from both sides
3=a -->divide both sides by -7
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a. The average value of
on the given interval is
![\displaystyle f_{\rm ave}=\frac1{\pi-0}\int_0^\pi(2\sin x-\sin2x)\,\mathrm dx=\boxed{\frac4\pi}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f_%7B%5Crm%20ave%7D%3D%5Cfrac1%7B%5Cpi-0%7D%5Cint_0%5E%5Cpi%282%5Csin%20x-%5Csin2x%29%5C%2C%5Cmathrm%20dx%3D%5Cboxed%7B%5Cfrac4%5Cpi%7D)
b. Solve for
:
![\dfrac4\pi=2\sin c-\sin2c\implies\boxed{c\approx1.238\text{ or }c\approx2.808}](https://tex.z-dn.net/?f=%5Cdfrac4%5Cpi%3D2%5Csin%20c-%5Csin2c%5Cimplies%5Cboxed%7Bc%5Capprox1.238%5Ctext%7B%20or%20%7Dc%5Capprox2.808%7D)