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3 years ago

15

The selling price of an article becomes 27/25 times the listed price due to the inclusion of sales tax. find the rate sales tax.

1 answer:

ale4655 [162]3 years ago

5 0

Answer:

8%

Step-by-step explanation:

If you subtract 1 times the original cost, the result is the tax rate:

27/25 - 1 = tax rate = (27 -25)/25 = 2/25 = 8/100 = 8%

The tax rate is 8%.

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A sample of restaurants in a city showed that the average cost of a glass of iced tea is $1.25 with a a standard

FromTheMoon [43]

Answer:

For the restaurant that charges 95 cents, the z-score is -4.29.

For the restaurant that charges $1, the z-score is -3.57.

For the restaurant that charges $1.35, the z-score is 1.43

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The average cost of a glass of iced tea is $1.25 with a standard deviation of 7c.

This means that $\mu = 1.25, \sigma = 0.07$

Restaurant that charges 95 cents:

The z-score is found when X = 0.95. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{0.95 - 1.25}{0.07}$

$Z = -4.29$

For the restaurant that charges 95 cents, the z-score is -4.29.

Restaurant that charges $1:.

X = 1

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1 - 1.25}{0.07}$

$Z = -3.57$

For the restaurant that charges $1, the z-score is -3.57.

Restaurant that charges $1.35:

X = 1.35

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1.35 - 1.25}{0.07}$

$Z = 1.43$

For the restaurant that charges $1.35, the z-score is 1.43

4 0

3 years ago

Write a quadratic function f whose zeros are -10 and -2

statuscvo [17]

$f(x) = (x - -10)(x - -2)$

We could stop here and have answered the question.

$f(x) = (x+10)(x+2) = x^2 + 12 x + 20$

Answer: $f(x)=x^2+12x + 20$

7 0

3 years ago

Read 2 more answers

0.7 + y = -1.34 i forgot how to do this. Can someone please explain how to get the answer

ss7ja [257]

It is 1.34 because 1 is bigger than 7/10

8 0

4 years ago

If F(x)= integral from 0 to x of square root of (t^3 +1), then F'(2)=

stealth61 [152]

By the fundamental theorem of calculus,

$\displaystyle F'(x)=\frac{\mathrm d}{\mathrm dx}F(x)=\frac{\mathrm d}{\mathrm dx}\int_0^x\sqrt{t^3+1}\,\mathrm dt=\sqrt{x^3+1}$

which means

$F'(2)=\sqrt{2^3+1}=\sqrt{8+1}=\sqrt9=3$

7 0

4 years ago

The first term in the sequence 5, 7, −7, ... is 5. Each even-numbered term is 2 more than the previous term and each odd-numbere

Nata [24]

Answer:

Step-by-step explanation:

According to the condition, your terms are arranged as

5, 7 , -7 ,-5, 5, 7, -7, 5, -5,...................

So one loop will have 4 terms: 5, 7, -7. -5

$255 \div 4 = 63 R 3$

Hence after 63 loops, the new loop has only 3 terms. That means the last loop will be 5, 7 ,-7. In other words, the 255th term will be -7

5 0

3 years ago