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Lorico [155]
3 years ago
8

mark just bought a new vacuum cleaner for $220. he used a 30% off coupon and then paid 5.1% sales tax. what was his final cost?

Mathematics
1 answer:
MissTica3 years ago
8 0

Answer: $161.85

Step-by-step explanation: $220 is the original price.  you want to first deduct the 30% tax.  Find out the 30% tax by multiplying 220 x .30 = 66.  So deduct the $66 from $220 to get $154.  That is the price.  You will need to add on the 5.1% tax.  So to get the tax you multiply $154 by .051 to get $7.854.  Add that to the $154 sales price to get a total of $161.854.  But since money, you can't have a portion of a cent so you round the 4 down

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Answer: Choice A -- f(x) = (1/3)*|x|

============================================

The input of a function is x and the output is y = f(x)

To vertically compress a function, we will multiply the y value by some fraction smaller than 1. This is so that the y coordinates are a fraction of what they once were.

In this case, we multiply y by 1/3 so that something that has a y coordinate of y = 81 becomes y = 27 (divide by 3)

So we have y = f(x) become (1/3)*y = (1/3)*f(x) = (1/3)*|x|

4 0
3 years ago
In an endurance race, Rachel ran
Reil [10]

Answer:

31\frac{1}{5}\ miles

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

so

The distance is equal to multiply the speed by the time

we have

speed=9\frac{3}{5}\ \frac{miles}{hour}

time=3\frac{1}{4}\ hours

distance=(9\frac{3}{5})(3\frac{1}{4})

Convert mixed number to an improper fraction

9\frac{3}{5}=9+\frac{3}{5}=\frac{9*5+3}{5}=\frac{48}{5}

3\frac{1}{4}=3+\frac{1}{4}=\frac{3*4+1}{4}=\frac{13}{4}

substitute

distance=(\frac{48}{5})(\frac{13}{4})=\frac{624}{20}=31,2\ miles

Convert to mixed number

31.2\ mi=31+0.2=31+\frac{1}{5}=31\frac{1}{5}\ miles

3 0
3 years ago
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