The following formula for compound interest applies:
![A=P(1+r)^{t}](https://tex.z-dn.net/?f=A%3DP%281%2Br%29%5E%7Bt%7D)
where A is the amount after t years, P is the principal and r is the annual interest rate expressed as a decimal. Plugging the given values into the formula gives:
![A=2000(1+0.05)^{4}](https://tex.z-dn.net/?f=A%3D2000%281%2B0.05%29%5E%7B4%7D)
The amount after 4 years is therefore $2,431.01
First you add 8x on both sides and then you get -3y=8x+24 then you divide -3 on both side and you get y=-8/3x-8 so then the y intercept is 8 and the slope is -8/3. Hope this helped. Please click on the thanks button if this helped. If you have any questions or concerns please ask them down in the comments.
Presumably, the coin tosses are independent of one another, so
![P(\text{exactly 4 heads}\mid\text{first flip is tails})=P(\text{exactly 4 heads})=\dfrac1{2^4}=\dfrac1{16}](https://tex.z-dn.net/?f=P%28%5Ctext%7Bexactly%204%20heads%7D%5Cmid%5Ctext%7Bfirst%20flip%20is%20tails%7D%29%3DP%28%5Ctext%7Bexactly%204%20heads%7D%29%3D%5Cdfrac1%7B2%5E4%7D%3D%5Cdfrac1%7B16%7D)
But if the coin flips are not independent, then we can't really say anything about this probability without any more information about how the flips are related...
Answer:
(x+1)²+(y-2)² = 25
Step-by-step explanation:
Standard equation of the circle is expressed as;
(x-a)²+(y-b)² = r²
(a,b) is the center of the circle
r is the radius
Get the radius
r = √(x2-x1)²+(y2-y1)²
r = √(2+1)²+(6-2)²
r = √3²+4²
r = √9+16
r = √25
r = 5
Substitute into the formula
(x-a)²+(y-b)² = r²
a = -1, b = 2, r = 5
(x-(-1))²+(y-2)² = 5²
(x+1)²+(y-2)² = 25
This gives the required equation