Answer: Her refund would be $5,681.20.
The problem says that Laura paid the estimate above, which is 28%.
0.28 x 134350 = 37618
However, she had some deductions.
134350 - 4000 - 12200 - 4090 = 114060
So, to find the tax on this amount, we multiply it again by 0.28.
0.28 x 114060 = 31936.8
The amount of the refund will be the difference.
37618 - 31936.8 = 5681.2
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
15+12+6= total number of marbles
33= total
Not clear marbles = 15+12 or 27
27 /33
.818181
82 percent
The distance between -4/12 and 9 is
-369/2
Step 1 :
41
Simplify ——
2
Equation at the end of step 1 :
41
((((0 - ——) • a) • n) • d) • 9
2
Step 2 :
Final result :
-369and
———————
2
