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iogann1982 [59]
3 years ago
5

a music store sells a used guitar for $120. This is $25 more than 1/2 the cost of a new guitar of the same brand. what is the co

st of a new guitar?
Mathematics
1 answer:
labwork [276]3 years ago
3 0

Answer:

$190.

Step-by-step explanation:

We can write the equation 120=25+1/2n where n is the cost of a new guitar. First, we subtract 25 from both sides to get 95=1/2n. Then, we multiply both sides by 2 to get 190=n. Therefore, the cost of a new guitar is $190.

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Residuals
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Answer:

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Step-by-step explanation:

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3 years ago
Minimum Average Cost
Dahasolnce [82]

Answer:

a)\bar{C}(x)=\dfrac{100}{x}+25-120\dfrac{lnx}{x}

b)\bar{C}(x)=5.81

Step-by-step explanation:

Given that

C = 100 + 25 x - 120 ln x   ,x ≥ 1.

The average cost function given as

\bar{C}(x)=\dfrac{C(x)}{x}

\bar{C}(x)=\dfrac{100 + 25 x - 120 \ln x}{x}

\bar{C}(x)=\dfrac{100}{x}+25-120\dfrac{lnx{x}

Therefore

\bar{C}(x)=\dfrac{100}{x}+25-120\dfrac{lnx}{x}

To find average minimum cost

\bar{C}(x)=\dfrac{100}{x}+25-120\dfrac{lnx}{x}

\dfrac{d\bar{C}(x)}{dx} = -\dfrac{100}{x^2} +0-120\times \dfrac{1-lnx}{x^2}

0 = -\dfrac{100}{x^2} +0- 120\times \dfrac{1-lnx}{x^2}

100 + 120 (1-lnx) = 0

lnx=\dfrac{220}{120}

ln x =1.833

x=e^{1.833}

x=6.25

\bar{C}(x)=\dfrac{100}{6.25}+25-120\dfrac{ln6.25}{6.25}

\bar{C}(x)=5.81

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