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Aleks04 [339]
3 years ago
5

a car dealership pays you 5% commission on your first $10,000 on car sales and 8% commission on the sale amount over $10,000 if

you sold a $12,000 car how much is your commission
Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
3 0

Answer:

$540

Step-by-step explanation:

The first $10,000 in $12,000 earns a 5% commission:

0.05($10,000) = $500.

The remaining $2,000 earns an 8% commission:

0.08($500) = $40.

The total commission is thus $500 + $40, or $540.

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Please help with this question thanksm
cluponka [151]

Answer: a) 1/64

Step-by-step explanation:

5 0
3 years ago
Match the circle equations in general form with their corresponding equations in standard form. Not all will be used. 
Xelga [282]
<span>The standard form of the equation of a circumference is given by the following expression:

</span>(x-h)^{2}+(y-k)^{2}=r^{2} \\ \\ where \ (h, k) \ is \ the \ center \ of \ the \ circumference \ and \ r \ the \ radius
<span>
On the other hand, the general form is given as follows:

</span>x^{2}+y^{2}+Dx+Ey+F=0 \\ \\ where: \\ D=-2h, \ E=-2k, \ F=h^{2}+k^{2}-r^{2}<span>

In this way, we can order the mentioned equations as follows:

Equations in Standard Form:

</span>\bold{a)} \ (x-6)^{2}+(y-4)^{2}=56 \\ \bold{b)} \ (x-2)^{2} + (y+6)^{2}=60 \\ \bold{c)} \ (x+2)^{2}+(y+3)^{2}=18 \\ \bold{d)} \ (x+1)^{2}+(y-6)^{2}=46

Equations in General Form:

\bold{1)} \ x^{2}+y^{2}-4x+12y-20=0 \\ \bold{2)} \ x^{2}+y^{2}+6x-8y-10=0 \\ \bold{3)} \ 3x^{2}+3y^{2}+12x+18y-15=0 \\ \\ If \ we \ divide \ this \ equation \ by \ 3, \ the \ equation \ becomes: \\ x^{2}+y^{2}+4x+6y-5=0 \\ \\ \bold{4)} \ 5x^{2}+5y^{2}-10x+20y-30=0 \\ \\ If \ we \ divide \ this \ equation \ by \ 5, \ the \ equation \ becomes: \\ x^{2}+y^{2}-2x+4y-6=0 \\ \\ \bold{5)} \ 2x^{2}+2y^{2}-24x-16y-8=0 \\ \\ If \ we \ divide \ this \ equation \ by \ 2, \ the \ equation \ becomes: \\ x^{2}+y^{2}-12x-8y-4=0

\bold{6)} \ x^{2}+y^{2}+2x-12y

So let's match each equation:

\bold{From \ a)} \\ \\ (h,k)=(6,4),\ r=2\sqrt{14} \\ D=-12, \ E=-8 \\ F=-4

Then, its general form is:

x^{2}+y^{2}-12x-8y-4=0

<em><u>First. a) matches 5) </u></em>

\bold{From \ b)} \\ \\ (h,k)=(2,-6),\ r=2\sqrt{15} \\ D=-4, \ E=12 \\ F=-20

Then, its general form is:

x^{2}+y^{2}-4x+12y-20=0

<em><u>Second. b) matches 1) </u></em>

\bold{From \ c)} \\ \\ (h,k)=(-2,-3),\ r=3\sqrt{2} \\ D=4, \ E=6 \\ F=-5

Then, its general form is:

x^{2}+y^{2}+4x+6y-5=0

<em><u>Third. c) matches 3)</u></em>

\bold{From \ d)} \\ \\ (h,k)=(-1,6),\ r=\sqrt{46} \\ D=2, \ E=-12, \ F=-9

Then, its general form is: x^{2}+y^{2}+2x-12y-9=0

<em><u>Fourth. d) matches 6)</u></em>
6 0
3 years ago
Read 2 more answers
I need 29 and 30 so please tell me the answer if you know
Nonamiya [84]
Have you tried using the website slader? It has answers for all your questions just search up slader on google then search your book on the website.
7 0
3 years ago
ILL GIVE BRAINLEST:))
MrRissso [65]

Answer:

B. The ratio of the area of the scale drawing to the area of the painting is 1:16

C. The ratio of the perimeter of the scale drawing to the perimeter of the painting is 1:4

Step-by-step explanation:

The ratio of the area of similar figures/shapes = the square of the ratio of any of their side lengths

Since the scale drawing of the rectangular painting and the actual rectangular painting are similar, therefore,

The ratio of the area of the scale drawing to the painting = 1²:4²

= 1:16

Also, comparing the ratio of the perimeter of the scale drawing to the perimeter of the painting will be the same as the scale factor = 1:4

5 0
3 years ago
Ling tried to solve an equation step by step.
Ipatiy [6.2K]

Step-by-step explanation:

<em>I</em><em> </em><em>didn't</em><em> </em><em>understand</em><em> </em><em>a thing</em><em> </em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em>

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3 years ago
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