From the description we can infer that we have the expression:
.
Now, to write our expression as a as a root, we are going to apply the law of exponents:
first
Next, we are going to apply the law about fractional exponents:
![x^{ \frac{m}{n}}= \sqrt[n]{x^m}](https://tex.z-dn.net/?f=x%5E%7B%20%5Cfrac%7Bm%7D%7Bn%7D%7D%3D%20%5Csqrt%5Bn%5D%7Bx%5Em%7D%20%20)
![\frac{1}{41^{ \frac{2}{5} }}= \frac{1}{ \sqrt[5]{41^2} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B41%5E%7B%20%5Cfrac%7B2%7D%7B5%7D%20%7D%7D%3D%20%5Cfrac%7B1%7D%7B%20%5Csqrt%5B5%5D%7B41%5E2%7D%20%7D%20)
We can conclude that the
value of B is 2.
Multiply the bracket by 6
6(-p+8)= -6p + 12
-6p+48= -6p+12
Move -6p from right side to left side
Sign changes from -6p to +6p
-6p+6p+48= -6p+6p+12
48= 12 ( No solution )
Answer : No solution
1.
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"
means that if the monthly income of John is $ 5,000 ,he can spend at most
f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)
Or for example
if Johns monthly income is $8,000, then he can spend at most
f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)
2.
Now, assume that the maximum amount that John can spend is y.
Then, y=15,000+1.5x
we can express x, the monthly income, in terms of y by isolating x:
y=15,000+1.5x
1.5x = y-15,000
X=y-15,000/1.5
thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:
X=g(y) y-15000/1.5
since we generally use the letter x for the variable of a function, we write g again as:
G (x) x-15000/1.5
tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.
3.
If John's limit is $60,000, his monthly income is
G(600,000)=60,000-15,000/ 1.5=45,000/1.5 =30,000
dollars.
Answer: $ 30,000
Remark: g is called the inverse function of f, since it undoes what f does.
instead of g(x), we could use the notation
Answer:
$100 + $10<em>m</em>
Step-by-step explanation:
A = Account Balance = 100
After M months
A = $100 + $10m
