Answer:
1.5
Step-by-step explanation:
12 / 8 = 1.5
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
800.000+60.000+3.000+100+40+1
Answer:
Interest: $390 | Total: $715
Step-by-step explanation:
To answer the first question, we can use the simple interest formula provided:
![I=Prt](https://tex.z-dn.net/?f=I%3DPrt)
<em>P = initial balance</em>
<em>r = annual interest rate</em>
<em>t = time</em>
<em />
First, change 8% into the decimal form:
8% ->
-> 0.08
Now, plug in the values:
![I=325(0.08)(15)](https://tex.z-dn.net/?f=I%3D325%280.08%29%2815%29)
![I=390](https://tex.z-dn.net/?f=I%3D390)
Charlie made $390 of interest. To find the total, just add that number to $325.
![390+325=715](https://tex.z-dn.net/?f=390%2B325%3D715)
Charlie's total money made was $715.