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3 years ago

Isabella went to the salon and was charged $72.60 for a cut and color. She added 20% to the cost as a

Mathematics

1 answer:

Tanya [424]3 years ago

3 0

A. assuming the sales tax is already added to the 72.60 all you have to do is add 20%

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Write the equation of the circle below to complete the square. Also determine the area of the circle.

diamong [38]

Answer: $(x-7)^2+(y+2)^2=11^2$ ; $A=121\pi$

Step-by-step explanation:

I have never done a problem like this, so this is my first time attempting it.

The standard form for the equation of a circle is:

$(x-a)^2+(y-b)^2=r^2$

Begin by grouping the 'x' terms and 'y' terms:

$(x^2-14x)+(y^2+4y-68)=0$

Complete the square for the second polynomial:

$(\frac{b}{2} )^2=(\frac{4}{2} )^2=4$

$(x^2-14x)+(y^2+4y+4-4-68)=0$

$(x^2-14x)+(y^2+4y+4)-4-68=0$

$(x^2-14x)+(y^2+4y+4)-72=0$

$(x^2-14x)+(y+2)^2-72=0$

Do the exact same process with the other polynomial:

$(x^2-14x-72)+(y+2)^2=0$

Complete the square:

$(\frac{14}{2} )^2=49$

$(x^2-14x+49-49-72)+(y+2)^2=0$

$(x^2-14x+49)-49-72+(y+2)^2=0$

$(x^2-14x+49)-121+(y+2)^2=0$

$(x-7)^2-121+(y+2)^2=0$

Bring the 121 to the other side to get:

$(x-7)^2+(y+2)^2=121$

$(x-7)^2+(y+2)^2=11^2$

The above expression is the equation of our circle in standard form. It is centered at the coordinates (7, -2) and has a radius of 11 units. The area of a circle if given by:

$A=\pi r^2=121\pi$

8 0

2 years ago

3. Jim invests $3500, compounded annually at 12% for 3 years. What is the total

irga5000 [103]

Answer:

None of the above, it should be $4760

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 12%/100 = 0.12 per year,

then, solving our equation

I = 3500 × 0.12 × 3 = 1260

I = $ 1,260.00

The simple interest accumulated

on a principal of $ 3,500.00

at a rate of 12% per year

for 3 years is $ 1,260.00

3 0

3 years ago

kimmy earns a $200 commission on all sales plus a base salary of $30,000 her total income last year was $80,000. I need an equat

brilliants [131]

I think the answer is:
30,000+200s = 80,000
where s represents the sales

6 0

3 years ago

Find the area of a circle if the circle is 5 m long

SpyIntel [72]

Answer:

A≈78.54

Step-by-step explanation:

A=πr2

I think this is right

6 0

3 years ago

A sample of 50 people was randomly chosen, and 60% of them said that they would rather eat breakfast at home than at a restauran

nalin [4]

The answer to this question would be: <span>The new survey’s margin of error will be between 50% and 100% the size of the original survey’s margin of error.

A bigger sample will result in a narrower margin of error which is a good thing because your data will become more accurate. But twice size will not improve the margin into the half. It definitely became lower than 100% though
</span>

5 0

3 years ago

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