Asking the Math Gods...
550*.082+550=$595.10
$45.10 in tax
Answer:
The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)
Step-by-step explanation:
We have the following expression

Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.
Now we search that values of x make 0 the denominator factoring the polynomial 
We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.
These numbers are -2 and 1
Then the factors are:

We do the same with the numerator

We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.
These numbers are 3 and 1
Then the factors are:

Therefore

Note that
only if 
So since
is not included in the domain the function has a discontinuity in 
Answer:
the standard error of the proportion is 0.0272
Step-by-step explanation:
We have that if the sample size is greater than 5% of the entire population, a finite population correction factor (fpc) is multiplied with the standard error
:
fpc = 
We know that N = 250 n = 91, replacing:
fpc = 
fpc = 0.799
Now, the formula would then be:
SE =
*fpc
Now replacing, knowing that p = 0.12
SE=
*0.799
SE = 0.0272
So the standard error of the proportion is 0.0272
Well there can be two different solutions for this but i will choose the easier one. Obviously one requires a system of equations which obviously will involve a lot of thinking and some good algebra solving in order for them to solve.
So we can just keep adding the distance as we know they are in different directions. 49 + 65 = 114. So 114 * 4.5 = 513 miles. SO after around 4.5 hours they will be 513 miles apart.
Answer:
Step-by-step explanation:
emily : 16 + 22x....with x being the number of days
Lily : 24 + 18x
16 + 22x = 24 + 18x
22x - 18x = 24 - 16
4x = 8
x = 8/4
x = 2 <==== they will be on the same page in 2 days
16 + 22x = 16 + 22(2) = 16 + 44 = 60
24 + 18x = 24 + 18(2) = 24 + 36 = 60
and they will both be on page 60 <===