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Sidana [21]
3 years ago
11

Stefan sells Jin a bicycle for 138 ​$ and a helmet for 16 ​$. The total cost for Jin is ​140% of what Stefan spent originally to

buy the bike and helmet. How much did Stefan spend​ originally? How much money did he make by selling the bicycle and helmet to​ Jin?
Mathematics
1 answer:
kykrilka [37]3 years ago
7 0

Answer:

its 3

Step-by-etep explanation:

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If the endpoints of the diameter of a circle are (−8, −6) and (−4, −14), what is the standard form equation of the circle? A) (x
Andrei [34K]

Answer:

\large\boxed{A.\ (x+6)^2+(y+10)^2=20}

Step-by-step explanation:

The standard form of an equation of a circle:

(x-h)^2+(y-k)^2=r^2

(h, k) - center

r - radius

We have the endpoints of the diameter of a circle (-8, -6) and (-4, -14).

The midpoint of a diameter is a center of a circle.

The formula of a midpoint:

\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)

Substitute:

x=\dfrac{-8+(-4)}{2}=\dfrac{-12}{2}=-6\\\\y=\dfrac{-6+(-14)}{2}=\dfrac{-20}{2}=-10

We have h = -6 and k = -10.

The radius is the distance between a center and the point on a circumference of a circle.

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute (-6, -10) and (-8, -6):

r=\sqrt{(-8-(-6))^2+(-6-(-10))^2}=\sqrt{(-2)^2+4^2}=\sqrt{4+16}=\sqrt{20}

Finally we have

(x-(-6))^2+(y-(-10))^2=(\sqrt{20})^2\\\\(x+6)^2+(y+10)^2=20

5 0
3 years ago
Read 2 more answers
Did Cherise use algebra tiles to correctly represent the product of (x – 2)(x – 3)? No, she did not multiply the x-tiles by the
Alina [70]
(x -2)(x - 3)
x(x - 3) - 2(x - 3)
x^2 - 3x - 2x + 6
x^2 - 5x + 6 <===

I dont know what cherise did, but this is the correct way 
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3 years ago
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An Investment of $10,000 yields 8% interest compounded quarterly.
Pachacha [2.7K]

An Investment of $10,000 yields 8% interest compounded quarterly.  The accumulated capital after 6 months is $10,404. The accumulated capital after 5 years is $14.859.47

From the information given;

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  • Interest Rate = 8% = 0.08
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a. we are to determine the amount of the accumulated capital after 6 months.

  • i.e. when time (t) = 6 months.

Now, using the formula for calculating the amount value of the accumulated capital:

\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}

\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times \frac{1}{2}}}

\mathbf{A = 10000(1.02)^2}}

A = $10,404

b. we are to determine the amount of the accumulated capital after 5 years

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\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}

\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times 5}}

\mathbf{A = 10000(1.02)^20}}

A = $14859.47

Therefore, we can conclude that the accumulated capital after 6 months is $10,404 and the accumulated capital after 5 years is $14859.47

Learn more about compound  interest here:

brainly.com/question/14295570?referrer=searchResults

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3 years ago
What's the answer to this question 3x + 2y = -4 and how did you get it
Alex777 [14]

First you subtract 3x because you are trying to get x alone so subtract 3x on both side so you would get 2y=-3x-4 and then divide the whole thing by 2 so you would get y=-3-4/2 and then you simplify and get y=-7/2 so y=-7/2 is your answer.

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3 years ago
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!
Sholpan [36]
X•X= x^2, 4•2=8, 8x^2
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