Part A
What is the 2010 federal income tax for a single person whose taxable income that year was 4000 dollars?
The function is
T(x)=0.1x
so
For x=4,000
substitute
T(x)=0.1*(4,000)
<h2>T(x)=$400</h2>
Part B
What is the 2010 federal income tax for a single person whose taxable income that year was 170000 dollars?
the function is
T(x)=0.28x-6,290.75
For x=170,000
substitute
T(x)=0.28*(170,000)-6,290.75
<h2>T(x)=$41,309.25</h2>
Part C
What is the taxable income for a single person whose 2010 federal income tax was 105000 dollars?
The function is
T(x)=0.28x-6,290.75
For T(x)=105,000
substitute
105,000=0.28x-6,290.75
solve for x
0.28x=105,000+6,290.75
0.28x=111,290.75
<h2>x=$397,466.96</h2><h2 />
Answer:
Step-by-step explanation:
if x is hypotenuse, then
Answer:
17 inches
Step-by-step explanation:
The original square had sides of 4.5 (18/4)
To get a perimeter of 10, we know that two sides would already equal 9 (4.5+4.5). That means we only have 1 inch for the other two sides, so they are each 1/2 inch.
That leaves the second rectangle with a length and width of 4.5 and 4.
2(4.5) + 2(4) =
9+8=
17
Answer:
The answer is D
Step-by-step explanation:
Base area: 9 x 7 = 63
63 x 5 = 315
Answer:
a) 658008 samples
b) 274050 samples
c) 515502 samples
Step-by-step explanation:
a) How many ways sample of 5 each can be selected from 40 is just a combination problem since the order of selection isn't important.
So, the number of samples = ⁴⁰C₅ = 658008 samples
b) How many samples of 5 contain exactly one nonconforming chip?
There are 10 nonconforming chips in the batch, and 1 nonconforming chip for the sample of 5 be picked from ten in the following number of ways
¹⁰C₁ = 10 ways
then the remaining 4 conforming chips in a sample of 5 can be picked from the remaining 30 total conforming chips in the following number of ways
³⁰C₄ = 27405 ways
So, total number of samples containing exactly 1 nonconforming chip in a sample of 5 = 10 × 27405 = 274050 samples
c) How many samples of 5 contain at least one nonconforming chip?
The number of samples of 5 that contain at least one nonconforming chip = (Total number of samples) - (Number of samples with no nonconforming chip in them)
Number of samples with no nonconforming chip in them = ³⁰C₅ = 142506 samples
Total number of samples = 658008
The number of samples of 5 that contain at least one nonconforming chip = 658008 - 142506 = 515502 samples
