The graph of a function is linear of the graph is a straight line.
If you already know that you have . . .
1$ after week 1
2$ after week 2
4$ after week 3
8$ after week 4
. . . You can then tell that every week the money you save doubles (times 2)
So to continue . . . .
16$ after week 5
32$ after week 6
64$ after week 7
128$ after week 8
256$ after week 9
512$ after week 10
You will then know that after ten weeks u will have 512$ which is answer choice D.
Hope this helps! :)
Answer:
66
Step-by-step explanation:
(5 - 3)⁴ - 2(7) + 8²
PEMDAS
Parentheses first
(2)⁴ - 2(7) + 8²
Exponents
16 - 2(7) + 64
Multiply and divide from left to right
16 -14 +64
Add and subtract from left to right
2+64
66
Answer:
B
Step-by-step explanation:
Becuase 1 divide 1/2
You make the division sign a multiplication sign
1 time 1/2
get the recipricol of 1/2 wich is 2
1 times 2/1
is 2
We can use the fact that, for
,

Notice that
![\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1{1-x}\right]=\dfrac1{(1-x)^2}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5B%5Cdfrac1%7B1-x%7D%5Cright%5D%3D%5Cdfrac1%7B%281-x%29%5E2%7D)
so that
![f(x)=\displaystyle\frac5{(1-x)^2}=5\frac{\mathrm d}{\mathrm dx}\left[\sum_{n=0}^\infty x^n\right]](https://tex.z-dn.net/?f=f%28x%29%3D%5Cdisplaystyle%5Cfrac5%7B%281-x%29%5E2%7D%3D5%5Cfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5B%5Csum_%7Bn%3D0%7D%5E%5Cinfty%20x%5En%5Cright%5D)



By the ratio test, this series converges if

so the series has radius of convergence
.