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Ostrovityanka [42]
3 years ago
12

A restaurant bill comes to $28.35 find the total coast if the tax is 6.25% and 20% tip is left on the amount before tax

Mathematics
1 answer:
luda_lava [24]3 years ago
4 0

Answer:

The total cost  of the bill = $36.146

Step-by-step explanation:

Here, the total amount  of the bill = $28.35

Now, the amount of tip = 20%

So, calculating 20% on the bill amount, we get

\frac{20}{100} \times 28.35  =  5.67

or, the amount of 20% tip = $5.67

So, the total bill amount  after 20% tip = Bill Amount + Tip

= $28.35 + $5.67 =  $34.02

Now, the tax is calculated on the amount of  bill $34.02.

\frac{6.25}{100} \times 34.02  =  2.126

or, the amount of tax on the bill = $2.126

So, the total bill amount  after 6.25% tax  = Bill Amount + Tax

=  $34.02 + $2.126 = $36.146

Hence, the total cost  of the bill = $36.146.

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2-3*(z-5)+11=4 what is the value of z
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2-3(z-5)+11=4

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4 years ago
The area of the sector formed by the 110 degree central angle is 50 units squared. What is the circumference of the circle
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Answer:

The circumference of the circle is C=45.346 \:units.

Step-by-step explanation:

A sector is the part of a circle enclosed by two radii of a circle and their intercepted arc. A pie-shaped part of a circle.

The area of a circle is given by A_{circle}=\pi r^2

The formula used to calculate the area of a sector of a circle is:

A_{sector}=\frac{central \:angle}{360} \cdot {Area \:of \:whole \:circle}\\\\A_{sector}=\frac{\theta}{360} \cdot \pi r^2

The circumference of a circle is the distance around the outside of the circle and its given by

C=2\pi r

We know the central angle \theta = 110º and the area of the sector 50 units squared.

First, we use the formula to calculate the area of a sector to find the radius.

50=\frac{110}{360} \cdot \pi r^2\\\\\frac{110}{360}\pi r^2=50\\\\\frac{11\pi }{36}r^2=50\\\\11\pi r^2=1800\\\\r^2=\frac{1800}{11\pi }\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\r=\sqrt{\frac{1800}{11\pi }},\:r=-\sqrt{\frac{1800}{11\pi }}

The radius can't be negative. Therefore,

r=\sqrt{\frac{1800}{11\pi }}\approx 7.217 \:units

Next, we apply the formula for the circumference of a circle.

C=2\pi (7.217)=45.346 \:units

7 0
3 years ago
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