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finlep [7]
3 years ago
14

A trip, including hotel and air, is prices at $319.19 after tax. If the tax rate is 12%, calculate the price before tax that wil

l result in this tax-included amount
Mathematics
1 answer:
Crank3 years ago
6 0

Answer: $285

Step-by-step explanation:

Given

A trip costs \$319.19 after-tax inclusion

The rate of tax is 12%

Suppose x is the amount of charge before tax inclusion

We can write

\Rightarrow x+12\%x=319.19\\\Rightarrow x(1+0.12)=319.19\\\\\Rightarrow x=\dfrac{319.19}{1.12}\\\\\Rightarrow x=\$284.99\approx \$285

The amount before tax inclusion is $285

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sergejj [24]

Answer:

A

Step-by-step explanation:

We are given the function:

\displaystyle f(x) = \left\{        \begin{array}{ll}            2\cos(\pi x) \text{ for }  x \leq -1 \\ \\          \displaystyle   \frac{2}{\cos(\pi x)}\text{ for } x > -1        \end{array}    \right.

And we want to find:

\displaystyle \lim_{x\to -1}f(x)

So, we need to determine whether or not the limit exists. In other words, we will find the two one-sided limits.

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\displaystyle \lim_{x\to-1^-}f(x)

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\displaystyle =\lim_{x\to -1^-}2\cos(\pi x)

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=2\cos(\pi (-1))=2\cos(-\pi)=2(-1)=-2

Right-Hand Limit:

\displaystyle \lim_{x\to -1^+}f(x)

Since we are approaching from the right, we will use the second equation:

=\displaystyle \lim_{x\to -1^+}\frac{2}{\cos(\pi x)}

Direct substitution:

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So, we can see that:

\displaystyle \displaystyle \lim_{x\to-1^-}f(x)=\displaystyle \lim_{x\to -1^+}f(x) =-2

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Our answer is A.

8 0
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