Answer:
$4,711.31
Step-by-step explanation:
Calculation for Jennifer's monthly gross pay
First step is to calculate The total tax percentage deductions
Using this formula
Total tax percentage deductions =State tax + City tax + Social security + Medicare
Let plug in the formula
Total tax percentage deductions = 3.5% +2.5% +6.2% +1.45%
Total tax percentage deductions = 13.65%
Now let calculate the monthly gross pay
Monthly gross pay= ($3,981.22 +87)/(1-13.65%)
Monthly gross pay= ($3,981.22 +87)/0.8635
Monthly gross pay=$4,068.22/0.8635
Monthly gross pay= $4,711.31
Answer:
Option C: 0.28
Step-by-step explanation:
This is a binomial probability distribution problem.
Now, we want to find the probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed. This is written as;
P(X ≥ 2) = P(2) + P(3) + P(4) + P(5)
From the histogram;
P(5) = 0.02
P(4) = 0.02
P(3) = 0.05
P(2) = 0.19
Thus;
P(X ≥ 2) = 0.19 + 0.05 + 0.02 + 0.02
P(X ≥ 2) = 0.28
Looks like the given limit is

With some simple algebra, we can rewrite

then distribute the limit over the product,

The first limit is 0, since 1/3ⁿ is a positive, decreasing sequence. But before claiming the overall limit is also 0, we need to show that the second limit is also finite.
For the second limit, recall the definition of the constant, <em>e</em> :

To make our limit resemble this one more closely, make a substitution; replace 9/(<em>n</em> - 9) with 1/<em>m</em>, so that

From the relation 9<em>m</em> = <em>n</em> - 9, we see that <em>m</em> also approaches infinity as <em>n</em> approaches infinity. So, the second limit is rewritten as

Now we apply some more properties of multiplication and limits:

So, the overall limit is indeed 0:

Step-by-step explanation:
I can't see good the picture
Answer:
92
Step-by-step explanation:
20% of 460 is 92 so it would be 92