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Lyrx [107]
3 years ago
12

A phone sells for $137.99. It is now on sale for 1/10 off the original price. Tom has a coupon for an extra 5% off the sale pric

e. To the nearest dollar, how much less than the original price will Tom pay for the phone?
Mathematics
1 answer:
vlabodo [156]3 years ago
7 0

Answer: Tom will pay $20.01 lesser than the original price.

Step-by-step explanation:

The original price of the phone is $137.99. It is now on sale for 1/10 off the original price. This means that the discount on the original price is 1/10 × 137.99 = 13.799. The new price will be the original price - the discount.

The new price is 137.99 - 13.799 = $124.191

Tom has a coupon for an extra 5% off the sale price. It means that Tom would pay 5% off $124.191. The amount that Tom would pay will be

124.191 - (5/100 × 124.191) = 124.191 - 6.20955 = $117.98

The difference between the original price and the price that Tom will pay is

137.99 - 117.98 = $20.01

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x +  \frac{5}{3}x + 4 + x +  \frac{4}{x} + 3 \\ x +  \frac{5x}{3}+ 4 + x +  \frac{4}{x}+ 3 \\ (x +  \frac{5x}{3}  + x) + (4 + 3) +  \frac{4}{x}  \\ x =  \frac{11x}{3}  + 7 +  \frac{4}{x}

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4 years ago
Which of the choices below is not a possible correlation coefficient?
fiasKO [112]

Answer:

The condition for r is the following:

-1 \leq r \leq 1

And for this case if we analyze the options the only impossible value is given by:

1.0528

Because this value is higher than 1 and not satisfy the general limits for r

Step-by-step explanation:

The correlation coefficient is a measure of dispersion and is a value between -1 and 1, and is defined as:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}

The condition for r is the following:

-1 \leq r \leq 1

And for this case if we analyze the options the only impossible value is given by:

1.0528

Because this value is higher than 1 and not satisfy the general limits for r

8 0
3 years ago
What is the slope in the linear equation y = 2x=1?
Bumek [7]

Answer:

The slope of the line is 2

Step-by-step explanation:

y=2x+1, compare it to the slope intercept form of a line, y=mx+c, the slope will be 2

5 0
3 years ago
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10.5714285714 fraction form
Dmitry_Shevchenko [17]
10 3/5 is the anwser to the question
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3 years ago
Given cos(O)=3/5 and tan(O)
Valentin [98]

Answer:

Tan(O) = 4/3

Step-by-step explanation:

According to SOH CAH TOA

cos theta = adj/hyp

cosO = 3/4

adj = 3

hyp = 5

Get the opposite

Using pythagoras theorem

opp^2 = hyp^2-adj^2

opp^2 = 5^2 - 3^2

opp^2 = 25-9

opp^2 = 16

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Tan (O) = opp/adj

Tan(O) = 4/3

Hence Tan(O) = 4/3

3 0
3 years ago
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