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sineoko [7]
2 years ago
12

In Las Vegas, Nevada, stores charge a 4.6\%4.6%4, point, 6, percent state sales tax and a 3.65\%3.65%3, point, 65, percent count

y sales tax. Yuki is purchasing a handbag priced at \$220$220dollar sign, 220 before tax. How much sales tax does Yuki pay for her handbag purchase?
Mathematics
2 answers:
jeyben [28]2 years ago
7 0

For this case, the total percentage of taxes is given by:

4.6 + 3.65 = 8.25

Then, to find the total percentage of taxes, we can make the following rule of three:

220 $ ---------------> 100%

x --------------------> 8.25%

From here, we clear the value of x.

We have then:

x = (\frac{8.25}{100}) (220)

x = 18.15

Answer:

The amount of taxes that Yuki pays is $ 18.15.

sergij07 [2.7K]2 years ago
5 0

Answer:

$18.15

Explanation:

In this case, we can add the percentages because they are taken of the same number.

The state sales tax, 4.6%, will be taken of $220, the purchase price.  The county sales tax, 3.65%, will also be taken of $220, the purchase price.  Since they are being taken of the same number, we can add the percentages:

4.6+3.65 = 8.25%

Now we can take 8.25% of 220:

8.25% = 8.25/100 = 0.0825

0.0825(220) = $18.15

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On some days,Melvin commutes 3.5 hours per day to the city for business meetings.Last week he commuted for a total of 14 hours.H
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Formula:

Total hours ÷ hour per day

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Tran has a credit card with a spending limit of $2000 and an APR (annual percentage rate) of 12%. During the first month, Tran c
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4 0
2 years ago
Read 2 more answers
n 2019, approximately 97.4% of all the runners who started the Boston Marathon (in Boston, Massachusetts, USA) were able to comp
Zarrin [17]

Answer:

0.1199 = 11.99% probability that at least 5 of them did not finish the marathon

Step-by-step explanation:

For each runner, there are only two possible outcomes. Either they finished the marathon, or they did not. The probability of a runner completing the marathon is independent of any other runner. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

97.4% finished:

This means that 100 - 97.4 = 2.6% = 0.026 did not finish, which means that p = 0.026

100 runners are chosen at random

This means that n = 100

Find the probability that at least 5 of them did not finish the marathon

This is:

P(X \geq 5) = 1 - P(X < 5)

In which

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{100,0}.(0.026)^{0}.(0.974)^{100} = 0.0718

P(X = 1) = C_{100,1}.(0.026)^{1}.(0.974)^{99} = 0.1916

P(X = 2) = C_{100,2}.(0.026)^{2}.(0.974)^{98} = 0.2531

P(X = 3) = C_{100,3}.(0.026)^{3}.(0.974)^{97} = 0.2207

P(X = 4) = C_{100,4}.(0.026)^{4}.(0.974)^{96} = 0.1429

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0718 + 0.1916 + 0.2531 + 0.2207 + 0.1429 = 0.8801

P(X \geq 5) = 1 - P(X < 5) = 1 - 0.8801 = 0.1199

0.1199 = 11.99% probability that at least 5 of them did not finish the marathon

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