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2 months ago

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The sale price S (in dollars) of an item is given by the formula S=L−rL, where L is the list price (in dollars) and r is the dis

count rate (in decimal form).
R=1- S/L

The list price of the shirt is $30. What is the discount rate?

2 answers:

tester [12.3K]2 months ago

8 0

Answer:

The item's discount rate is $r=1-\frac{S}{30}$ .

Detailed explanation:

The formula provided is S = L - rL.

Here, S stands for the sale price,

r is the discount rate,

and L is the list price.

By rearranging, we get:

S - L = -rL

L - S = rL

which can be written as

$r=\frac{1}{L}(L-S)$

$r=1-\frac{S}{L}$

To find the discount rate for a shirt listed at $30, substitute L = 30 into the equation:

$r=1-\frac{S}{30}$

The resulting discount rate is $r=1-\frac{S}{30}$ .

babunello [11.8K]2 months ago

7 0

The sale price S (in dollars) of an item is calculated using the formula

S = L - rL, where L represents the list price (dollars) and r denotes the discount rate.

Rearranged, this becomes:

rL = L - S

and thus

r = $\frac{L-S}{L}$

which simplifies to

r = $1-\frac{S}{L}$

Given the shirt's list price is $30, we will compute the discount rate accordingly.

Hence, the discount rate r equals $1-\frac{S}{30}$ .

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Step-by-step explanation:

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The following data set is provided: (in thousands)

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where $x_i$ denotes data points, $\bar{x}$ represents the mean, and n indicates the number of samples.

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Initially, we formulate the null hypothesis and the alternative hypothesis.

$H_{0}: \mu = 30000\text{ dollars}\\H_A: \mu < 30000\text{ dollars}$ A one-tailed t-test will be conducted for this analysis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

<pinserting the="" values="" we="" derive="">

$t_{stat} = \displaystyle\frac{29512.5 - 30000}{\frac{697.82}{\sqrt{8}} } = -1.975$

<pnow>

$t_{critical} \text{ at 0.05 level of significance, 7 degree of freedom } = -1.894$

<pgiven the="" situation="">

$t_{stat} < t_{critical}$

<pwe do="" not="" accept="" the="" null="" hypothesis="" and="" reject="" it.="">

Thus, we conclude that the average wedding cost is indeed less than the advertised $30,000.

</pwe></pgiven></pnow></pinserting>

8 0

1 month ago