Answer:
x = 2 and y = -2
Step-by-step explanation:
We must first eliminate the y-variable:
2x + 3y = -2
3x - 6y = 18
4x + 6y = -4
3x - 6y = 18
_________
7x = 14
x = 2
Since we know x=2, we plug that back into one of the original equations to find y:
2x + 3y = -2
2(2) + 3y = -2
4 + 3y = -2
3y = -6
y = -2
Therefore, x = 2 and y = -2
Answer:
$121.51
Step-by-step explanation:
At 18.7%, the monthly multiplier is 1+.187/12, so for the year, James' balance is multiplied by (1+.187/12)^12 ≈ 1.2038899
At 12.5%, the monthly multiplier is 1+.125/12, so for the year, James' balance is multiplied by (1+.125/12)^12 ≈ 1.1324161
The difference in these multipliers is ...
1.2038899 -1.13241605 = 0.0714739
so James' savings is ...
$1700 × 0.0714739 ≈ $121.51
Answer:
23
Step-by-step explanation:
![\large\begin{array}{l} \textsf{Therefore, the domain of f is}\\\\ \mathsf{D_f=\{x\in\mathbb{R}:~~x\ne -7~~and~~x\ne 7\}}\\\\\\ \textsf{or using a more compact form}\\\\ \mathsf{D_f=\mathbb{R}\setminus\{-7,\,7\}}\\\\\\ \textsf{or using the interval notation}\\\\ \mathsf{D_f=\left]-\infty,\,-7\right[\,\cup\,\left]7,\,+\infty\right[.} \end{array}](https://tex.z-dn.net/?f=%5Clarge%5Cbegin%7Barray%7D%7Bl%7D%20%5Ctextsf%7BTherefore%2C%20the%20domain%20of%20f%20is%7D%5C%5C%5C%5C%20%5Cmathsf%7BD_f%3D%5C%7Bx%5Cin%5Cmathbb%7BR%7D%3A~~x%5Cne%20-7~~and~~x%5Cne%207%5C%7D%7D%5C%5C%5C%5C%5C%5C%20%5Ctextsf%7Bor%20using%20a%20more%20compact%20form%7D%5C%5C%5C%5C%20%5Cmathsf%7BD_f%3D%5Cmathbb%7BR%7D%5Csetminus%5C%7B-7%2C%5C%2C7%5C%7D%7D%5C%5C%5C%5C%5C%5C%20%5Ctextsf%7Bor%20using%20the%20interval%20notation%7D%5C%5C%5C%5C%20%5Cmathsf%7BD_f%3D%5Cleft%5D-%5Cinfty%2C%5C%2C-7%5Cright%5B%5C%2C%5Ccup%5C%2C%5Cleft%5D7%2C%5C%2C%2B%5Cinfty%5Cright%5B.%7D%20%5Cend%7Barray%7D)
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