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vampirchik [111]
3 years ago
9

If a pair of shoes costs $52.50 including a 7.25% tax, what is the original cost of the item before taxes are added? No other sy

mbols other than the number rounded to the second decimal.
Mathematics
1 answer:
zheka24 [161]3 years ago
3 0

Answer:

56.31

Step-by-step explanation:

A 7.25% tax is $3.81

52.50-3.81+48.69

Hope it helps!

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Write the equation of the line that is parallel to
Kruka [31]

Answer:

y = -x + 2

Step-by-step explanation:

Lines that are parallel have the same slope but different

y-intercepts.

So the slope of the parallel line is -x

We can input the x and y points given to solve for the new y-intercept

  • y = -x + b
  • 8 = -(-6) + b
  • 8 = 6 + b
  • b = 2

The new line is y = -x + 2. Since these two lines are the same, they are coinciding lines.

-Chetan K

4 0
2 years ago
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Rewrite 3 x 6/8 as the product of a unit fraction and a whole number
iragen [17]

3×6/8 reduce is 3× 3/4= 3/1×3/4=9/4 or 2 1/4

4 0
3 years ago
A community college has a math placement exam that has a mean of 65 and a standard deviation of 8.2. If a student takes the exam
Marat540 [252]

Answer:

The score that cuts off the bottom 2.5% is 48.93.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 65, \sigma = 8.2

What is the score that cuts off the bottom 2.5%

This is X when Z has a pvalue of 0.025, so X when Z = -1.96.

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

-1.96 = \frac{X - 65}{8.2}

X - 65 = -1.96*8.2

X = 48.93

The score that cuts off the bottom 2.5% is 48.93.

8 0
3 years ago
Read 2 more answers
A fixed cost: Multiple Choice Requires the future outlay of cash and is relevant for future decision making. Does not change wit
Charra [1.4K]

Answer:

A fixed cost: Does not change with changes in the volume of activity within the relevant range

Step-by-step explanation:

Fixed Cost:

In economics, a fixed cost in a specified period of time does not change with respect to an increase or decrease in the production of goods or services. In contrast, the variable cost changes in proportion to changes in production of goods or services.

Examples of Fixed Cost:

Salaries, Rents, insurance payments, taxes, some utilities etc

7 0
4 years ago
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Ines has saved $5. She doubles the amount she saves each week. Does the function have a constant difference or a constant ratio?
salantis [7]

Answer:

The function have a constant ratio

No, it does not represent an exponential function.

Step-by-step explanation:

As given,

Ines has saved $5. She doubles the amount she saves each week.

⇒ In first week she saved = $5

   In second week she saved = 2×$5 = $10

   In third week she saved = 2×$10 = 20

  In fourth week she saved = 2×$20 = 40

and so on..

∴ we get the series

5, 10, 20, 40 ,.......

If the series is given as a, b, c, d, ..... , then

The common difference is defined as d = b-a = c-b

The common ration is defined as r = \frac{b}{a} = \frac{c}{b}

Here, in the given question

The series is - 5, 10, 20, 40

This has no common difference , d =   10 - 5 (= 5 )≠ 20 - 10 (= 10)

As 5 ≠ 10

So the function does not define common difference .

Now,

This has common ratio , r =  \frac{10}{5} (=2) = \frac{20}{10}(=2)

As 2 = 2

So, the function represent common ratio

Now,

The function does not represent an exponential function because it is increased by common ratio.

7 0
3 years ago
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