Answer:
109.6%
Step-by-step explanation:
<u>Last year:</u>
Company A stock + Company B stock = total amount of stock:
$3160 + $5800 = $8960
<u>This year:</u>
Company A stock: $3160 + ($3160*0.20) = $3792
Company B stock: $5800 + (5800*0.04) = $6032
Company A stock + Company B stock = total amount of stock:
$3792 + $6032 = $9824
<u>Total amount of increase from last year:</u>
(9824/8960)*100 = 109.6 percent
comparing the relation given
thus y= -2x +1 to the general equation of a line
where y= mx + c
where m is the gradient and c is the intercept on the y-axis.
from the question, the gradient is -2 and since the line is perpendicular, the gradient is given as
so substituting the value of m in to the equation
=
as the gradient
equation of line is given by
y - y1 = m( x-x1)
from the question y1= -2 and x1=1
substitute them
y-(-2) = 1/2 (x -1)
y+2 =1/2 (x-1)
multiplying through by 2
2 (y+2) = x-1
2y +4 = x-1
2y =x-1-4
2y =x-5
x -2y -5 = 0
therefore the equation for the line is x-2y -5=0
In exact form that would 2 over 49 and in decimal form that would be 0.04.
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Answer: 8
Step-by-step explanation: To find the least common multiple or (lcm) of 4 and 8, let's begin by listing the first few multiples of each number.
<em><u>Multiples of 4</u></em>
1 × 4 ≈ 4
2 × 4 ≈ 8
3 × 4 ≈ 12
4 × 4 ≈ 16
Notice that we skipped 0 × 6 in our list of multiples and this is because 0 × 4 is equal to 0 and our least common multiple can't be 0.
Now, let's list the multiples of 8. When listing the multiples of 8, it's a good idea to keep an eye on the list of multiples for 4 so that we will notice when we find a least common multiple.
<u><em>Multiples for 8</em></u>
1 × 8 = 8 ← is a multiple of 4
Notice that we can stop here because all other multiples that we find will be greater than 8. Therefore, the least common multiple or (lcm) of 4 and 8 is 8.
