Answer:
400
Step-by-step explanation:
first work out the radius of priya's circle with the equation a =
![25 = \pi r^{2}](https://tex.z-dn.net/?f=25%20%3D%20%5Cpi%20r%5E%7B2%7D)
![\frac{25}{\pi } = r^{2}](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B%5Cpi%20%7D%20%3D%20r%5E%7B2%7D)
![r = \sqrt{\frac{25}{\pi } }](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%7B%5Cfrac%7B25%7D%7B%5Cpi%20%7D%20%7D)
we know the diameter of a circle is 2 times the radius so the diameter of priya's circle is 2x![\sqrt{\frac{25}{\pi } }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B25%7D%7B%5Cpi%20%7D%20%7D)
this means that if the diameter of dan's circle is 4 times bigger it must be
8x![\sqrt{\frac{25}{\pi } }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B25%7D%7B%5Cpi%20%7D%20%7D)
to find the radius of dan's circle we divide the diameter by to 2 to give
4x ![\sqrt{\frac{25}{\pi } }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B25%7D%7B%5Cpi%20%7D%20%7D)
then use the a=
equation again
![a= (4 \sqrt{\frac{25}{\pi } })^{2} \pi](https://tex.z-dn.net/?f=a%3D%20%284%20%5Csqrt%7B%5Cfrac%7B25%7D%7B%5Cpi%20%7D%20%7D%29%5E%7B2%7D%20%5Cpi)
which equals 400
hope that helped
Answer:
x=-8
Step-by-step explanation:
Subtract 2 from both sides
Simplify
Multiply all terms by the same value to eliminate fraction denominators
Cancel multiplied terms that are in the denominator
Subtract 2x from both sides
Simplify
Answer:
x = 11/10
Step-by-step explanation:
we have from statement:
-1=1 - 4(-5+4x) – 4x
we apply distributive property:
-1 = 1 -4*(-5) -4*(4x) -4x
so we have:
-1= 1+20 -16x -4x
-1 = 21 -20x
-22=-20x
so we have:
x=22/20
x=11/10
we can substitute the x value found:
-1 = 1 - 4(-5+4*(11/10)) – 4*(11/10)
-1 = 1+20 -17.6 -4.4
-1 =21 -22
so we have:
-1 = -1
Answer:
C
Step-by-step explanation:
Using simple interest, it is found that:
- The total amount paid was of $7,084.8.
- The finance charge was of $584.8.
- The simple interest rate was of 3%.
<h3>Simple Interest</h3>
Simple interest is used when there is a single compounding per time period.
The amount of interest after t years in is modeled by:
![I = Prt](https://tex.z-dn.net/?f=I%20%3D%20Prt)
In which:
- r is the interest rate, as a decimal.
In this problem, the amount paid was of 36 monthly payments of
$196.80, hence:
36 x 196.80 = $7084.8.
The total amount paid was of $7,084.8.
The original price is of $6,500, hence the finance charge was of:
7084.8 - 6500 = $584.8.
For interest, we have that:
, hence:
![I = Prt](https://tex.z-dn.net/?f=I%20%3D%20Prt)
![584.8 = 6500(3)r](https://tex.z-dn.net/?f=584.8%20%3D%206500%283%29r)
![r = \frac{584.8}{6500 \times 3}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B584.8%7D%7B6500%20%5Ctimes%203%7D)
![r = 0.03](https://tex.z-dn.net/?f=r%20%3D%200.03)
The simple interest rate was of 3%.
More can be learned about simple interest at brainly.com/question/25296782