Answer:
from original question:
Step-by-step explanation:
To determine the future value for the 401(k), we need to determine the amount contributed annually. It is stated that the amount the employee contributes to the fund is 9% of $45,624. $45,624(0.09) = $4,106.16 The employer contributes a maximum of 3% of the employee contribution. Therefore: $45,624(0.03) = $1368.72. Therefore, the total annual contribution is $5,474.88, giving a future value of $196,302.40. For the Roth IRA, the monthly contributions are $352.45 giving a future value of $152,636.09. Therefore, the 401(k) has a greater future value by $43,666.31.
For every 
, we have
So, negletting the first term, each term of the sum is greater than 1, which implies
Which means that the series diverges.
Answer:
(- 10, 8 )
Step-by-step explanation:
A translation of 4 left means subtract 4 from the x- coordinate
A translation of 1 down means subtract 1 from the y- coordinate
(- 6, 9 ) → (- 6 - 4, 9 - 1 ) → (- 10, 8 )
Slope = (-2 + 2) / (4 + 7 ) = 0/11 = 0
answer
0
![\bf \stackrel{\textit{perimeter of a rectangle}}{P=2(L+w)}~~ \begin{cases} L=length\\ w=width\\ \cline{1-1} P=66 \end{cases}\implies 66=2(L+w) \\\\\\ 33=L+w\implies \boxed{33-w=L} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of a rectangle}}{A=Lw}\qquad \implies 216=Lw\implies 216=(33-w)w \\\\\\ 216=33w-w^2\implies w^2-33w+216=0 \\\\\\ (w-24)(w-9)=0\implies w= \begin{cases} 24\\ 9 \end{cases}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7Bperimeter%20of%20a%20rectangle%7D%7D%7BP%3D2%28L%2Bw%29%7D~~%20%5Cbegin%7Bcases%7D%20L%3Dlength%5C%5C%20w%3Dwidth%5C%5C%20%5Ccline%7B1-1%7D%20P%3D66%20%5Cend%7Bcases%7D%5Cimplies%2066%3D2%28L%2Bw%29%20%5C%5C%5C%5C%5C%5C%2033%3DL%2Bw%5Cimplies%20%5Cboxed%7B33-w%3DL%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Barea%20of%20a%20rectangle%7D%7D%7BA%3DLw%7D%5Cqquad%20%5Cimplies%20216%3DLw%5Cimplies%20216%3D%2833-w%29w%20%5C%5C%5C%5C%5C%5C%20216%3D33w-w%5E2%5Cimplies%20w%5E2-33w%2B216%3D0%20%5C%5C%5C%5C%5C%5C%20%28w-24%29%28w-9%29%3D0%5Cimplies%20w%3D%20%5Cbegin%7Bcases%7D%2024%5C%5C%209%20%5Cend%7Bcases%7D)
now, both values are valid, so if "w" is either one, "L" is the other.
