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Tju [1.3M]
2 years ago
6

If the radius of a circle is increased by a factor of 3, how will the area of the object be affected?

Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
8 0
Area of a Circle is directly proportional to the square of it's radius. So, if radius is increased by 3, area will increase by 3^2 = 9

In short, Your Answer would be: Option C

Hope this helps!
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Brenda took out a personal loan for $12,500 at an interest rate of 12% compounded
stich3 [128]

The monthly payment is $ 1892.392

<em><u>Solution:</u></em>

<em><u>The formula for compound interest, including principal sum, is:</u></em>

A = p(1 + \frac{r}{n})^{nt}

Where,

A = the future value of the investment

P = the principal investment amount

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested or borrowed for

From given,

p = 12500

t = 5 years

r = 12 \% = \frac{12}{100} = 0.12

n = 12 ( compounded mothly )

<em><u>Substituting the values we get,</u></em>

A = 12500( 1 + \frac{0.12}{12})^{ 12 \times 5}\\\\A = 12500 ( 1 + 0.01)^{60}\\\\A = 12500 \times 1.8166\\\\A = 22708.7087

<em><u>What will her monthly  payment be?</u></em>

Monthly\ payment = \frac{22708.7087}{12} = 1892.392

Thus monthly payment is $ 1892.392

8 0
3 years ago
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astraxan [27]
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3 years ago
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Solve using gaussian elimination and show ur work
jarptica [38.1K]

Add the last two equations to eliminate <em>x</em> :

(<em>x</em> - 2<em>y</em> - 3<em>z</em>) + (- <em>x</em> + <em>y</em> + 2<em>z</em>) = 0 + 3

- <em>y</em> - <em>z</em> = 3

<em>y</em> + <em>z</em> = -3

Subtract this from the first equation to eliminate <em>z</em>, then solve for <em>y</em> :

(2<em>y</em> + <em>z</em>) - (<em>y</em> + <em>z</em>) = -8 - (-3)

<em>y</em> = -5

Plug this into the first equation to solve for <em>z</em> :

2(-5) + <em>z</em> = -8

<em>z</em> = 2

Plug both of these into either the second or third equations to solve for <em>x</em> :

<em>x</em> - 2(-5) - 3(2) = 0

<em>x</em> = -4

7 0
3 years ago
I need help ASAP whit this question
sweet [91]

Answer:

B. 7

Step-by-step explanation:

The original box must be 1 by 1 by 1.

So then the new box would be 2 by 2 by 2.

2×2×2=8

8-1=7

I hope this helps!

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7 0
2 years ago
What is the slope of the line ?<br> please help me fast.
Vikki [24]

Answer:1

Step-by-step explanation:

I had to give details

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