82. A company spends x hundred dollars on an advertising

Mathematics

1 answer:

crimeas [40]3 years ago

5 0

The company spends $649 on advertising

The sales function after advertising is given as:

$S(x) = 5 + 7\ln(x + 1)$

When the total sales is $19,100, we have S(x) = 19100

So, the sales function becomes

$5 + 7\ln(x + 1) = 19.1$

Subtract 5 from both sides

$7\ln(x + 1) = 14.1$

Divide both sides by 7

$\ln(x + 1) = 2.014$

Take exponents of both sides

$x + 1 = e^{2.014$

$x + 1 = 7.49$

Subtract 1 from both sides

$x= 6.49$

Hence, the company spends $649 on advertising

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