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podryga [215]
2 years ago
7

In Omak the sales tax is 8.4%. What is the total cost including tax Aakel spent on a $48 purchase?

Mathematics
1 answer:
Vikki [24]2 years ago
6 0

Answer:

$52.03

Step-by-step explanation:

1. Approach

To solve this problem, first one needs to calculate the sales tax, then one must add that to the amount spent on the purchase. To calculate sales tax, one must convert the percent to decimal form, this can be done by dividing the percent by 100. Then one will multiply the decimal by the amount spent.

2. Find the tax

As states above; to calculate sales tax, one must convert the percent to decimal form, this can be done by dividing the percent by 100. Then one will multiply the decimal by the amount spent.

<u>a. convert percent to decimal</u>

8.4 / 100 = 0.084

<u>b. multiply the decimal by the amount spent</u>

48 * 0.084 = 4.032

The amount spent on sales tax is, $4.032

3. Find the total amount spent

Now all one has to do is add the amount spent in tax by the amount spent on the purchase.

48 + 4.032 = 52.032

Since money is only spent rounded to the second decimal point, one has to round the number;

52.03

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The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.The ma
Lana71 [14]

Answer:

The advertisement should use 16 minutes.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.

This means that m = 3.5, \mu = \frac{1}{3.5} = 0.2857

What number of minutes should the advertisement use?

The values of x for which:

P(X > x) = 0.01

So

e^{-\mu x} = 0.01

e^{-0.2857x} = 0.01

\ln{e^{-0.2857x}} = \ln{0.01}

-0.2857x = \ln{0.01}

x = -\frac{\ln{0.01}}{0.2857}

x = 16.12

Rounding to the nearest number, the advertisement should use 16 minutes.

5 0
3 years ago
Given the function rule f(x) = x^2 - 5x + 1, what is the output of f(-3)?
mojhsa [17]
 f(x) = x²<span> - 5x + 1

f(-3) = (-3)</span>² - 5(-3) + 1
<span>
f(-3) = 25


</span>--------------------------------------------------<span>
Answer: f(-3) = 25 (Answer C)
</span>--------------------------------------------------
4 0
3 years ago
What is the measure of X! Please help if you know how to do this!
deff fn [24]

Answer:

28°

Step-by-step explanation:

You're given that line DE and line FG are parallel and KL and FG are perpendicular. Then you can find out angle ∠BAC by using the vertical angles property: ∠BAC=62°. Then since KL and FG are perpendicular ∠ABC = 90°. So you find the angle ∠BCA by finding the sum of interior angles: 62+90+∠BCA=180, therefore ∠BCA is 28°. Finally, ∠x or ∠JCG = 28 because ∠JCG and ∠BCA are vertical angles and congruent.

4 0
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39.96÷6 with explanation​
solmaris [256]

Answer:

39.96/6=6.66

Do the long division

39/6=6 R3

Step-by-step explanation:

8 0
3 years ago
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Michelle bought five packs of crayons for 13.75. what is the cost of a pack ,in dollars, if all the packs cost the same​
Schach [20]

Answer:

2.75

Step-by-step explanation:

Divide 13.75 by five.

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