Answer: w-3=24
Step-by-step explanation:
It would be 100,000 or if the number is just 981 then it would be 1,000.
Answer:
494000
Step-by-step explanation:
2.5 percent of 130000 is 3250, so 3250 x number of years. There are 112 years in between. So 112 x 3250=364000. 364000 + 130000=494000.
Answer:
(-4,-11)
Step-by-step explanation:
Given an equation of a circle
![x^{2} +y^{2} +8x+22y+37 =0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2By%5E%7B2%7D%20%2B8x%2B22y%2B37%20%3D0)
To find the centre and radius of the circle.
We group x terms to gether and y terms to gether first.
![x^{2} +8x+y^{2}+22y+37 =0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%20%2B8x%2By%5E%7B2%7D%2B22y%2B37%20%3D0)
Now completion of squares method is used for both x and y.
![x^{2} +8x+16-16+y^{2}+22y+121-121+37 =0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%20%2B8x%2B16-16%2By%5E%7B2%7D%2B22y%2B121-121%2B37%20%3D0)
![(x+4)^{2} +(y+11)^{2}-100 =0](https://tex.z-dn.net/?f=%28x%2B4%29%5E%7B2%7D%20%20%2B%28y%2B11%29%5E%7B2%7D-100%20%3D0)
![(x+4)^{2} +(y+11)^{2} =10^{2}](https://tex.z-dn.net/?f=%28x%2B4%29%5E%7B2%7D%20%20%2B%28y%2B11%29%5E%7B2%7D%20%3D10%5E%7B2%7D)
Thus we find that the centre = (-4,-11) and radius
= 10