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Makovka662 [10]
2 years ago
9

The sales tax on a $20 hammer is 7 percent, or $1.40. why is this tax a bigger burden for josh, who has a $15,000 income, than f

or aaron, who has a $150,000 income?
Mathematics
2 answers:
AlekseyPX2 years ago
7 0
The tax represents a larger proportion of josh's income
Bond [772]2 years ago
3 0

Answer:

The ratio of the sales tax to Josh income is greater than the sales tax to aaron income (As the income of the Josh is less as compared to the arron income) this shows the tax is bigger burden for the Josh as compared to the aaron .

Step-by-step explanation:

As given

The sales tax on a $20 hammer is 7 percent, or $1.40.

As income of the  josh is 15000 and the income of the aaron is $150000 .

Now the ratio of the sales tax to the josh income .

\frac{Sales\ tax}{Josh\ income} = \frac{1.40}{15000}

\frac{Sales\ tax}{Josh\ income} = \frac{14}{15000\times 10}

\frac{Sales\ tax}{Josh\ income} = \frac{7}{75000}

In decimal form

\frac{Sales\ tax}{Josh\ income} = 0.000093\ (Approx)

Now the ratio of the  sales tax to the aaron income .

\frac{Sales\ tax}{aaron\ income} = \frac{1.40}{150000}

\frac{Sales\ tax}{aaron\ income} = \frac{14}{150000\times 10}

\frac{Sales\ tax}{aaron\ income} = \frac{7}{750000}

In decimal form

\frac{Sales\ tax}{aaron\ income} = 0.0000093\ (Approx)

Thus as the ratio of the sales tax to Josh income is greater than the sales tax to aaron income (As the income of the Josh is less as compared to the arron income) this shows the tax is bigger burden for the Josh as compared to the aaron .

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Answer:

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  • about 20 hours

Step-by-step explanation:

The decay factor is 1 -25% = 0.75 per hour, so the exponential equation can be written ...

  r(t) = 1450·0.75^t . . . . . milligrams remaining after t hours

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a) After 4 hours, the amount remaining is ...

  r(4) = 1450·0.75^4 ≈ 458.79 . . . mg

About 459 mg will remain after 4 hours.

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b) To find the time it takes before the amount remaining is less than 5 mg, we need to solve ...

  r(t) < 5

  1450·0.75^t < 5 . . . . use the function definition

  0.75^t < 5/1450 . . . . divide by 1450

  t·log(0.75) < log(1/290) . . . . . take logarithms (reduce fraction)

  t > log(1/290)/log(0.75) . . . . . divide by the (negative) coefficient of t

  t > 19.708

It will take about 20 hours for the amount of the drug remaining to be less than 5 mg.

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2 years ago
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Answer:

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8.) It takes Fred 9 minutes to type and spell check 13 pages of a manuscript. Find how long it takes him to type and spell check
inysia [295]

It will take Fred 42 minutes to type and spell check 60 pages.

  • Let the first scenario be A.
  • Let the second scenario be B.
  • Let the unknown time be X.

Given the following data;

  • Time taken A = 9 minutes
  • Number of pages A = 13 pages
  • Number of pages B = 60 pages
  • Time taken B = X minutes

To find how long it takes him to type and spell check 60 pages;

We would use direct proportion to express the work described and solve for the unknown variable (time).

9 \;minutes : 13 \;pages\\\\X \;minutes : 60 \;pages

Cross-multiplying, we have;

9 × 60 = 13 × X

540 = 13X\\\\X = \frac{540}{13}

<em>X = 41.54 ≈ 42 minutes</em>

Therefore, it will take Fred 42 minutes to type and spell check 60 pages.

Find more information: brainly.com/question/89674

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