Answer:
If Raven's monthly payment were $125, the amount of the loan that she is considering taking out would be less than $43,205.56.
Step-by-step explanation:
If you think about it this way it may be more simple. If the APR stays constant then a greater payment will result in a greater loan. The opposite is also true meaning a lesser payment will result in a lesser loan. If the amount Raven pays is greater than $145 then the loan will be greater than $43,205.56. If the amount she pays is less than $145 then the loan will be less than $43,205.56. Of the options, only one of these situations will be present. In my case, the correct option was a payment of $125 will result in a lesser loan than $43,205.56.
Since the sequence is geometric, there is some constant
such that the sequence is recursively given by
By this definition, you can recursively substitute into the right hand side the definition for
to find an explicit formula for the
th term.
You know the second term, which means you can find
:
So, the 7th term of the sequence is
Adding all of these should equal to 180 from the way the angle is set up.
So the equation should be:
(3x + 2) + (2x + 5) + (2x - 9) = 180
You can remove parentheses as it doesn’t affect the equation since it is all addition.
Let’s first add the common variables together.
3x + 2x + 2x = 7x
2 + 5 + (-9) = -2
So now we should have:
7x - 2 = 180
Now add 2 to both sides.
7x = 182
Divide both sides by 7 to isolate x.
x = 26
So x is 26.
if indeed two functions are inverse of each other, then their composite will render a result of "x", namely, if g(x) is indeed an inverse of f(x), then
![\bf (g\circ f)(x)=x\implies g(~~f(x)~~)=x \\\\\\ \begin{cases} f(x) = 3x\\ g(x)=\cfrac{1}{3}x \end{cases}\qquad \qquad g(~~f(x)~~)=\cfrac{1}{3}[f(x)]\implies g(~~f(x)~~)=\cfrac{1}{3}(3x)](https://tex.z-dn.net/?f=%5Cbf%20%28g%5Ccirc%20f%29%28x%29%3Dx%5Cimplies%20g%28~~f%28x%29~~%29%3Dx%20%5C%5C%5C%5C%5C%5C%20%5Cbegin%7Bcases%7D%20f%28x%29%20%3D%203x%5C%5C%20g%28x%29%3D%5Ccfrac%7B1%7D%7B3%7Dx%20%5Cend%7Bcases%7D%5Cqquad%20%5Cqquad%20g%28~~f%28x%29~~%29%3D%5Ccfrac%7B1%7D%7B3%7D%5Bf%28x%29%5D%5Cimplies%20g%28~~f%28x%29~~%29%3D%5Ccfrac%7B1%7D%7B3%7D%283x%29)
Y=-x+6
Try -6 on X, -(-6)+6=12... wrong
Try -3 on X, -(-3)+6=9... wrong
Try 2 on X, -2+6=4... correct, you got X=2, Y=4
Try 4 on X, -4+6=2... correct, you got X=4, Y=2
Try 7 on X, -7+6=1... wrong
