Answer: $2,000,000
Explanation: Let X be the amount of Avery's investment. Since she will receive $40,000 every year for the next six years, the most she will earn is
$40,000 × 6 = $240,000.
Since she wants to earn 12% on her investment, her earnings is equal to 12% of X = 0.12X. Since the most she will earn is $240,000,
0.12X ≤ 240,000
X ≤ 240,000 ÷ 0.12 = 2,000,000 (Divide both sides by 0.12)
Hence X ≤ 2,000,000. Therefore, the most amount she should invest is $2,000,000.
I believe it is 4 hope this helps!
Answer:
<h2>f^-1(x) = x/2 -1 </h2>
Step-by-step explanation:
![f(x) = 2x + 2\\\\f^-^1 (x) = ?](https://tex.z-dn.net/?f=f%28x%29%20%3D%202x%20%2B%202%5C%5C%5C%5Cf%5E-%5E1%20%28x%29%20%3D%20%3F)
Let y equal to the given equation ;
![y = 2x+2\\](https://tex.z-dn.net/?f=y%20%3D%202x%2B2%5C%5C)
Solve for x ;
![y-2 = 2x\\Divide \:both\:sides\:of\:the\:equation\:by \:2\\\\\frac{y}{2} - \frac{2}{2} = \frac{2x}{2} \\\\\frac{y}{2} -1 =x\\\\x = \frac{y}{2} -1](https://tex.z-dn.net/?f=y-2%20%3D%202x%5C%5CDivide%20%5C%3Aboth%5C%3Asides%5C%3Aof%5C%3Athe%5C%3Aequation%5C%3Aby%20%5C%3A2%5C%5C%5C%5C%5Cfrac%7By%7D%7B2%7D%20-%20%5Cfrac%7B2%7D%7B2%7D%20%20%3D%20%5Cfrac%7B2x%7D%7B2%7D%20%5C%5C%5C%5C%5Cfrac%7By%7D%7B2%7D%20-1%20%3Dx%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7By%7D%7B2%7D%20-1)
Change the y back to x
![x = \frac{x}{2} -1 \\\\f^-^1(x) = \frac{x}{2} -1](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7Bx%7D%7B2%7D%20-1%20%5C%5C%5C%5Cf%5E-%5E1%28x%29%20%20%3D%20%5Cfrac%7Bx%7D%7B2%7D%20-1)
Answer:
SL = KR
Step-by-step explanation:
We're given two different lengths, both of which are on other sides of KL. Now, since these two givens are congruent, and we're overlapping it over a new line, the lines SL and KR are going to be congruent.
Answer:
![f(-3) = -3 + 8 \\= 5\\f(0) = 0 + 8 \\= 8\\f(5) = 5 + 8 \\= 13](https://tex.z-dn.net/?f=f%28-3%29%20%3D%20-3%20%2B%208%20%5C%5C%3D%205%5C%5Cf%280%29%20%3D%200%20%2B%208%20%5C%5C%3D%208%5C%5Cf%285%29%20%3D%205%20%2B%208%20%5C%5C%3D%2013)
Step-by-step explanation:
All we need to do is plug in the x-values.
if
![f(x) = x + 8](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%20%2B%208)
then
![f(-3) = -3 + 8 \\= 5\\f(0) = 0 + 8 \\= 8\\f(5) = 5 + 8 \\= 13](https://tex.z-dn.net/?f=f%28-3%29%20%3D%20-3%20%2B%208%20%5C%5C%3D%205%5C%5Cf%280%29%20%3D%200%20%2B%208%20%5C%5C%3D%208%5C%5Cf%285%29%20%3D%205%20%2B%208%20%5C%5C%3D%2013)
hope this helped!!