Answer:
Step-by-step explanation:
An equation in the vertex form is written as
Where the point (h, k) is the vertex of the equation.
For an equation in the form 
the x coordinate of the vertex is defined as
In this case we have the equation 
.
Where
Then the x coordinate of the vertex is:
The y coordinate of the vertex is replacing the value of 
in the function
Then the vertex is:
Therefore The encuacion excrita in the form of vertice is:
To find the coefficient a we substitute a point that belongs to the function
The point (0, -1) belongs to the function. Thus.
<em>Then the written function in the form of vertice is</em>
Answer:
The income that she will have left over after paying his
federal income tax = $63,775.
Step-by-step explanation:
- The amount of taxable income = $79,950
- So, the taxable income will be in the range from $33,950 to $82,250.
- It means, there will be $4675 fixed tax and additional 25% tax on the amount over $33,950.
As
The amount over $33,950 = $79,950 - $33,950 = $46,000
So
The additional tax = 46000 × 0.25 = $11,500 ∵25% = 0.25
So, the total federal income tax will be: $11500 + $4675 = $16,175
Therefore, the income that she will have left over after paying his federal income tax = $79,950 - $16,175 = $63,775.
Keywords: income, income tax
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A = 31 degree
Cos 31 degree = 400/x
X = 400/ Cos 31
= 400/0.8572
= 466.7ft
Answer:
make do times tabls pls give me points
Step-by-step explanation:
The expectation of this game is that the house (casino) takes in roughly $3.83 every time someone plays, and after enough plays, they will typically always win.
We can determine this case by looking at all of the possibilities and how much you can win or lose off of each. There are 36 total cases for what can happen when we roll the dice. Of those 36 cases, 9 of them produce positive winnings and 27 of them produce losses.
To calculate the winnings, we need to look at what type they are. 6 of them will be 7's which earn the gambler $20. 3 of them would be 4's, which earns the gambler $40.
6($20) + 3($40)
$120 + $120
$240
Then we look at the losses. This is easier to calculate since every time the gambler loses, he losses exactly $14. There are 27 of these instances.
27($14)
$378
Now we can look at the average loss per game by subtracting the losses from the gains and finding the average.
(Winnings - losses)/options
($240 - 378)/36
$3.83
