C is the answer to your question
Answer:
5,526,447
Step-by-step explanation:
Create an equation where x is the third number.
837,451 + 879,837 + x = 7,243,735
1,717,288 + x = 7,243,735
x = 5,526,447
So, the third number is 5,526,447
Answer:
![V = \left[\begin{array}{ccc}5&-1\end{array}\right]](https://tex.z-dn.net/?f=V%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%26-1%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
We want to reflect this 2x1 vector on the line y = x.
To make this reflection we must use the following matrix:
![R=\left[\begin{array}{cc}0&1\\1&0\\\end{array}\right]](https://tex.z-dn.net/?f=R%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0%261%5C%5C1%260%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Where R is known as the reflection matrix on the line x = y
Now perform the product of the vector <-1,5> x R.
![\left[\begin{array}{ccc}-1\\5\end{array}\right]x\left[\begin{array}{ccc}0&1\\1&0\end{array}\right]\\\\\\\left[\begin{array}{ccc}-1(0) +5(1)&-1(1)+5(0)\end{array}\right]\\\\\\\left[\begin{array}{ccc}5&-1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%5C%5C5%5Cend%7Barray%7D%5Cright%5Dx%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%5C%5C1%260%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%280%29%20%2B5%281%29%26-1%281%29%2B5%280%29%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%26-1%5Cend%7Barray%7D%5Cright%5D)
The vector matrix that represents the reflection of the vector <-1,5> across the line x = y is:
Given:
Income made last year = $30,000
Tax rate for the first $7000 = 15% = 0.15
Tax rate for the amount over $7000 = 18% = 0.18
Let's find the amount Linda must pay in income tax last year.
To find the amount she must pay, we have:
Tax for first $7000 = 0.15 x 7000 = $1050
Tax for amount over $7000 = 0.18 x (30000 - 7000)
= 0.18 x 23000 = $4140
Therefore, the amount she must pay in income tax is:
T = $1050 + $4140 = $5,190
Linda must pay $5,190 in income tax for last year.
ANSWER:
$5,190
Step-by-step explanation:
since the 2 lives are parallel, this makes the 2 triangles (above l and the larger one above m) similar.
and that means their angles are the same.
and that means that the third angle in the small triangle above l is also y°.
and now, remember, the sum of all angles in a triangle is always 180°.
so,
180 = x + y + z = x + 20 + 60
x = 180 - 20 - 60 = 100°
so, B is correct.
