Answer:
look at the picture for the answer
Answer:
1.
centre(h,k)=(-13,9)
radius (r)=6
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x+13)²+(y-9)²=6²
x²+26x+169+y²-18y+81=36
x²+y²+26x-18y+169+81-36=0
x²+y²+26x-18y +214=0
is a required equation of the circle.
2.
centre(h,k)=(1,-1)
radius (r)=11
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x-1)²+(y+1)²=11²
x²-2x+1+y²+2y+1=121
x²+y²-2x+2y=121-2
x²+y²-2x+2y=119
is a required equation of the circle.
1. The area of a circle is
![a = \pi {r}^{2}](https://tex.z-dn.net/?f=a%20%3D%20%5Cpi%20%7Br%7D%5E%7B2%7D%20)
![\pi = 3.14 \\ r = \frac{3.4}{2} = 1.7](https://tex.z-dn.net/?f=%5Cpi%20%3D%203.14%20%5C%5C%20r%20%3D%20%20%5Cfrac%7B3.4%7D%7B2%7D%20%20%3D%201.7)
![a = (3.14) {(1.7)}^{2} \\ = 9.0746](https://tex.z-dn.net/?f=a%20%3D%20%283.14%29%20%7B%281.7%29%7D%5E%7B2%7D%20%20%5C%5C%20%20%3D%209.0746)
The area is 9.07 cm^2.
2. The volume of a cube is
![v = {s}^{3}](https://tex.z-dn.net/?f=v%20%3D%20%20%7Bs%7D%5E%7B3%7D%20)
![s = 4.5](https://tex.z-dn.net/?f=s%20%3D%204.5)
![v = {(4.5)}^{3} \\ = 91.125](https://tex.z-dn.net/?f=v%20%3D%20%20%7B%284.5%29%7D%5E%7B3%7D%20%20%5C%5C%20%20%3D%2091.125)
The volume is 91.125 m^3
Answer:
24/30
Step-by-step explanation:
Answer:
$40
Step-by-step explanation:
The earnings of Gabriel can be calculated with the formula:
P = Po * (1 + r/n)^(nt)
Where P = 900, r = 0.0325, n = 365 and t = 19
So we have:
P = 900 * (1 + 0.0325/365)^(365*19) = $1,668.81
The earnings of Daniel can be calculated with the formula:
P = Po * e^(rt)
Where Po = 900, r = 0.03375 and t = 19
So we have:
P = 900 * e^(0.03375*19) = $1,708.97
So the amount that Daniel will have more than Gabriel is:
1708.97 - 1668.81 = $40.16
Rounding to nearest dollar, the difference is $40