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yan [13]
3 years ago
14

oday, everything at a store is on sale. The store offers a 20% discount. **NUMBERS ONLY. NO SYMBOLS.** a. The regular price of a

T-shirt is $18. What is the discount price? b. The discount price of a hat is $18. What is the regular price
Mathematics
1 answer:
lutik1710 [3]3 years ago
6 0

Answer:

Discount price of T-shirt is $14.40

Regular price of hat is $22.50

Step-by-step explanation:

The regular price, without a discount, of the T-shirt is $18. Since the store offers a discount of 20%, we must remove 20% of the price.

100%-20%=80%. So, the discount price is 80% of the regular price.

18 × 80% = 14.4

So, the discount price of the T-shirt is $14.40.

The hat, on a discount of 20%, costs $18. To find the regular price, we must multiply it by the reciprocal of 80%, which is 100/80, or 1.25.

1.25 × 18 = 22.5

So, the regular price of the hat is $22.50.

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The median player salary for a professional football team was $457,200 in 2000 and $1,342,676 in 2008. Write a linear equation g
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Answer:

The linear equation giving the median salary y in terms of the year x is:

y = 110,684.5x + 457,200

Step-by-step explanation:

For calculating the linear equation first we need to calculate the slope of the equation represented with an m, the formula is the following:

m=\frac{y_{2}- y_{1}  }{x_{2}-x_{1}}

As in the problem it is said, x will represent the time so:

x1 will be the initial year so x1=2000

x2 will be the final year so x2=2008

Now the salary will be represented with the y so:

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y2 will be the salary for the year 2008 then y2 = $1,342,576

Then replacing the values in the equation we will have the following expresión:

m=\frac{1,342,676-457,200}{2008-2000} = \frac{885,476}{8}=110,684.5

Now we have to replace this values in the following formula for linear equation

y-y1 = m(x-x1)

As they say that x represent 2000 as the initial year then when we replace we will have the following expresion

y - 457,200 = 110,684.5(x - 0)

y = 110,684.5x + 457,200

To verify our equation we can check for the salary in 2008 as it is 8 years after of 2000 x=8 then

y = 110,684.5 (8) + 457,200

y = 885,476 + 457,200 = 1,342,676

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Answer:

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