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mel-nik [20]
3 years ago
6

Luis wants to buy a skateboard that usually sells for $79.74. All merchandise is discounted by 12%. What is the total cost of th

e skateboard if Luis has to pay a state sales tax 7.25%. Round your intermediate calculations and answer to the nearest cent
Mathematics
2 answers:
SVETLANKA909090 [29]3 years ago
5 0

Change your percents to decimals, then multiply 100 by your 12% decimal, then multiply 79.74 by your 7.25% and you should get the answer

lozanna [386]3 years ago
4 0

Answer:

$75.26

Step-by-step explanation:

Cost of skateboard: $79.74

Discount: 12%

Let's find 12% of $79.74 and subtract it from $79.74.

12% of $79.74 = 12% * $79.74 = 0.12 * $79.74 = $9.57

The discount is $9.57. Now we subtract the discount from the original price.

$79.74 - $9.57 = $70.17

The price after applying the 12% discount, but before tax is $70.17

Now we apply the 725% sales tax.

We first find 7.25% of $70.17, and then we add it to $70.17.

7.25% of $70.17 = 7.25% * $70.17 = 0.0725 * $70.17 = $5.09

The amount of tax is $5.09. Now we add it to the discounted price of $70.17.

$70.17 + $5.09 = $75.26

Total price: $75.26

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8 0
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An air conditioning system can circulate 320 cubic feet of air per minute. How many cubic yards of air can it circulate per minu
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Step-by-step explanation:

It is given that, an air conditioning system can circulate 320 cubic feet of air per minute. We need to find how many cubic yards of air can it circulate per minute?

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5 0
3 years ago
If y is the circumcenter is angle STU find each measure
snow_tiger [21]

Answer:

Measures are SV=9 units., SY=14 units, YW=\sqrt75units , YW=\sqrt27units

Step-by-step explanation:

Given Y is the circumcenter of ΔSTU. we have to find the measures SV, SY, YW and YX.

As Circumcenter is equidistant from the vertices of triangle and also The circumcenter is the point at which the three perpendicular bisectors of the sides of the triangle meet.

Hence, VY, YW and YX are the perpendicular bisectors on the sides ST, TU and SU.

Given ST=18 units.

As VY is perpendicular bisector implies SV=9 units.

Also in triangle VTY

YT^{2}=VY^{2}+VT^{2}

⇒ 14^{2}=VY^{2}+9^{2}

⇒ VY^{2}=115

As vertices of triangle are equidistant from the circumcenter

⇒ SY=YT=UY=14 units

Hence, SY is 14 units

In ΔUWY, UY^{2}=YW^{2}+UW^{2}

⇒ 14^{2}=YW^2+11^{2}

⇒ YW^2=196-121=75 ⇒ YW=\sqrt75units

In ΔYXU, UY^{2}=YX^{2}+XU^{2}

⇒ 14^{2}=YX^2+13^{2}

⇒ YX^2=196-169=27 ⇒ YW=\sqrt27units

Hence, measures are SV=9 units., SY=14 units, YW=\sqrt75units , YW=\sqrt27units





4 0
3 years ago
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