Answer:
Formula: 2
r
Subsitute: 2
2
Solve: (2)(3.14)(2) = 12.56= circumference
In terms of pi: 4![\pi](https://tex.z-dn.net/?f=%5Cpi)
Step-by-step explanation:
Answer:
***The balance after 4 years is $3738.23***
Step-by-step explanation:
The amount in a continuously compounded account is given by:
where P=$3000 is the principal, r=5.5% is the annual interest rate and t=4 years.
We substitute these values to obtain:
![A=3000e^{.055*4}](https://tex.z-dn.net/?f=A%3D3000e%5E%7B.055%2A4%7D)
This will evaluate to:
![A=3738.23019](https://tex.z-dn.net/?f=A%3D3738.23019)
Rounding to the nearest cent, we get: $3738.23
Answer:
Boys = 150
Girls = 315
Total Boys and Girls 465
Step-by-step explanation:
We call x the number of boys and we call y the number of girls.
So we have to find the total number of children
We know that
![\frac{2}{7}y = \frac{3}{5}x](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B7%7Dy%20%3D%20%5Cfrac%7B3%7D%7B5%7Dx)
![x =y-165](https://tex.z-dn.net/?f=x%20%3Dy-165)
Now we substitute the second equation in the first and solve for y.
![\frac{2}{7}y = \frac{3}{5}(y-165)](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B7%7Dy%20%3D%20%5Cfrac%7B3%7D%7B5%7D%28y-165%29)
![\frac{2}{7}y = \frac{3}{5}y-99\\\\99 = \frac{3}{5}y-\frac{2}{7}y\\\\\frac{11}{35}y=99\\\\y = 315\\](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B7%7Dy%20%3D%20%5Cfrac%7B3%7D%7B5%7Dy-99%5C%5C%5C%5C99%20%3D%20%5Cfrac%7B3%7D%7B5%7Dy-%5Cfrac%7B2%7D%7B7%7Dy%5C%5C%5C%5C%5Cfrac%7B11%7D%7B35%7Dy%3D99%5C%5C%5C%5Cy%20%3D%20315%5C%5C)
Now we find x.
![x = 315-165 = 150\\\\x = 150](https://tex.z-dn.net/?f=x%20%3D%20315-165%20%3D%20150%5C%5C%5C%5Cx%20%3D%20150)
Finally we have that:
Boys = 150
Girls = 315
Total Boys and Girls 465
Answer:
(0, -10)
Step-by-step explanation:
If you add both together from x - y, each add up to their own value. For example, -5, and -9 would be -14. It's quite simple. I hope this helps. I'm sorry if this is not what you are looking for.