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motikmotik
2 years ago
6

Samuel orders four DVDs from an online music store. Each DVD costs $9.96. He has a 25% discount code, and sales tax is 7.75%. Ro

und sales tax amounts to the nearest cent. What is the total cost of his order?
The total cost of Samuel's order is $
Mathematics
1 answer:
Mumz [18]2 years ago
3 0

Samuel's order will ultimately cost $39.84.

One DVD Samuel purchased cost $9.96.

He purchased four DVDs in total.

as a result, his total outlay will be 4 * 9.96 = $39.84.

The 7.75% sales tax that must be paid is disclosed to us.

Adding 7.75% to $39.84 yields

39.84 x 7.75/(100) (100)

= $3.0876

Consequently, the total amount of tax due is $3.0876.

Using 25% of 39.84 to calculate a 25% discount,

39.84 x 25/100

= 996/100

=$9.96

Consequently, the total discount on the total of $39.84 will be $9.96.

as a result, the updated purchase price will be,

39.84-9.96

=$29.88

adding the tax to the updated price,

9.96+29.88

= $39.84

Consequently, Samuel's order will ultimately cost $39.84.

<h3>How are percentages calculated?</h3>

One must compute percentage in order to determine the proportion of a whole that is stated in terms of 100. A percentage can be determined using one of two methods:

using the unitary method.

by changing the fraction's denominator to 100.

It should be noted that the second method of percentage computation is not used when the denominator is not a factor of 100. In these circumstances, we make use of the unitary approach.

To learn more about percentage visit:

brainly.com/question/24877689

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Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours. Together the
klasskru [66]

The rate charged per hour by each mechanic was:  x = 75 $ / hr and y = 115 $ / hr.

<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given;

The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours.

Together they charged a total of $3225.

For this case we have the following variables:

x be the amount of $ / hr that the mechanic obtains 1.

y be the amount of $ / hr obtained by mechanic 2.

An equation to express this would be:

x + y = 190

20x + 15y = 3225

Solving the system of equations we have:

20x + 15(190 -x) = 3225

20x + 2850 - 15x = 3225

5x = 375

x = 75

simililary

y = 190 - x

y = 115

Hence, the rate charged per hour by each mechanic was:

x = 75 $ / hr

y = 115 $ / hr

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6 0
2 years ago
A circle with radius 4 inches has a central angle of 45 degrees. What is the length of the inscribed arc? Round to the nearest t
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107,600 115,220 104,910 median, mode, mean
san4es73 [151]

Answer:

<u>1. Mean =  342.7 (Rounding to the nearest tenth)</u>

<u>2. Median =  167.5 </u>

<u>3. Mode = There isn't a mode for this set of numbers because there isn't a data value that occur more than once. </u>

Step-by-step explanation:

Given this set of numbers: 107, 600,  115, 220,  104, 910, find out these measures of central tendency:

1. Mean = 107 + 600  + 115 + 220 + 104 + 910/6 = <u>342.7</u> (Rounding to the nearest tenth)

2. Median. In this case, we calculate it as the average between the third and the fourth element, this way:

115 + 220 =335

335/2 = <u>167.5 </u>

3. Mode = <u>There isn't a mode for this set of numbers because there isn't a data value that occur more than once. All the data values occur only once.</u>

5 0
3 years ago
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