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Flauer [41]
4 years ago
5

1 Point The circle below is centered at (-3, 2) and has a radius of 3. What is its equation?

Mathematics
1 answer:
arlik [135]4 years ago
8 0

Answer:

(x + 3)^2 + (y - 2)^2 = 9

Step-by-step explanation:

<u>Equation for a circle:  (x – h)^2 + (y – k)^2 = r^2</u>

<u />

<u>Step 1:  Determine what h, k, and r are</u>

<em>h is the x value of the point:  -3</em>

<em>k is the y value of the point:  2</em>

<em>r is the radius of the circle:  3</em>

<u>Step 2:  Plug in and solve</u>

(x – h)^2 + (y – k)^2 = r^2

(x – (-3))^2 + (y – (2))^2 = (3)^2

<em>(x + 3)^2 + (y - 2)^2 = 9</em>

<em />

Answer:  (x + 3)^2 + (y - 2)^2 = 9

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If $25, 000 is invested into an account paying 4.5% per year, compounded quarterly, how much money can be withdrawn from the acc
pogonyaev

The money can be withdrawn from the account every two months for the next 6 years is $20, 625, 000

<h3>What is compound interest?</h3>

The formula for compound interest is given as;

A = P ( 1 + \frac{r}{n} )^n^t

P = principal interest = $25, 000

r = rate = 4. 5%

n = 2 months

t = 6 years

A = 25, 000 ( 1 + \frac{4. 5}{2} )^2 ^*^6

A = 25, 000(1 + 0. 75)^1^2

A = 25, 000( 825. 00)

A = $20, 625, 000

Thus, the money can be withdrawn from the account every two months for the next 6 years is $20, 625, 000

Learn more about compound interest here:

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7 0
2 years ago
Is 15/28 equivalent to 25/45
Lana71 [14]
No, it's not.

15/28 equals to (about) 0.54 while 25/45 is (about) 0.56.
They are close, but not equivalent.<span />
7 0
3 years ago
An end point of a line segment is (-10, -2) and the midpoint of the line segment is (0,4). Find the other endpoint.
Dovator [93]

Answer: The other endpoint is  (10,10)

Step-by-step explanation:

\frac{-10 + x }{2} =0  

-10 +x = 0

+10       +10

x= 10  

\frac{-2 + y}{2} =4

-2 + y = 8

+2          +2

y =10

5 0
3 years ago
Write an expression. That is the equivalent to 3/5 (3y + 15)
OlgaM077 [116]

9y/5 +5


Im sorry dont have an expression but i hope i got it right

4 0
3 years ago
Benito spent $1837 to operate his car last year. Some of these expenses are listed on the table below:
Dmitry_Shevchenko [17]

Answer:

$0.085 per mile or 8.5 cent per mile

Step-by-step explanation:

We know:

Total expenses = $1837

Gasoline expense = Total expenses - other expenses

= 1837 - 972 - 114 - 105 = $646

Benito drove in total of: 7600 miles

Cost of gasoline per mile = Money spent for gasoline / total miles

= $646 / 7600

= $0.085 per mile or 8.5 cent per mile

Hope this helped :3

3 0
4 years ago
Read 2 more answers
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