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MakcuM [25]
3 years ago
14

At a sale, books are sold at $90.75 each, which is 75 percent of the original price. What is the original price

Mathematics
1 answer:
lions [1.4K]3 years ago
6 0

\frac{75}{100}  =  \frac{90.75}{x}  \\ x = \frac{90.75 \times 100}{75}  =  \frac{9075}{75}   = 121
the answer is 121
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Y = (x)^(1/9)*Find f(x) when x=(1/2)Round your answer to the nearest thousandth.
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We are given a function f ( x ) defined as follows:

y=f(x)=x^{\frac{1}{9}}

We are to determine the value of f ( x ) when,

\times\text{ = }\frac{1}{2}

In such cases, we plug in/substitue the given value of x into the expressed function f ( x ) as follows:

y\text{ = f ( }\frac{1}{2}\text{ ) = (}\frac{1}{2})^{\frac{1}{9}}

We will apply the power on both numerator and denominator as follows:

f(\frac{1}{2})=\frac{1^{\frac{1}{9}}}{2^{\frac{1}{9}}}\text{ = }\frac{1}{2^{\frac{1}{9}}}

Now we evaluate ( 2 ) raised to the power of ( 1 / 9 ).

f\text{ ( }\frac{1}{2}\text{ ) = }\frac{1}{1.08005}

Next apply the division operation as follows:

f\text{ ( }\frac{1}{2})\text{ = }0.92587

Once, we have evaluated the answer in decimal form ( 5 decimal places ). We will round off the answer to nearest thousandths.

Rounding off to nearest thousandth means we consider the thousandth decimal place ( 3rd ). Then we have the choice of either truncating the decimal places ( 4th and onwards ). The truncation only occurs when (4th decimal place) is < 5.

However, since the (4th decimal place) = 8 > 5. Then we add ( 1 ) to the 3rd decimal place and truncate the rest of the decimal places i.e ( 4th and onwards ).

The answer to f ( 1 / 2 ) to the nearest thousandth would be:

\textcolor{#FF7968}{f}\text{\textcolor{#FF7968}{ ( }}\textcolor{#FF7968}{\frac{1}{2})}\text{\textcolor{#FF7968}{ = 0.926}}

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1 year ago
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