We need to solve for the y-intercept of the line and the given values are enumerated below:
point slope = m = 4.404
mean of the x coordinate of the data point = 8.891
mean of the y coordinate of the data point = 5.519
We can use the equation of the line in a point-slope form such as:
y = mx + c
Let us solve first the value of c:
5.519 = (4.404* 8.891) +c
c = 5.519 - (39.156)
c = -33.637
the y-intercept is when x is equal to zero, we have:
y = 4.404(0) + (-33.637)
y= -33.637
The answer is -33.637 for y-intercept.
Since the sum 0.45 as a fraction is 45/100 = 9/20 the number of possible fractions is infinite.
For example:
0.45 = 0.40 + 0.05 = 2/5 + 1/20 = 8/20 + 1/20 = 9/20
0.45 = 0.20 + 0.25 = 1/5 + 1/4 = 4/20 + 5/20 = 9/20
0.45 = 0.17 + 0.28 = 17/100 + 7/25 = 17/100 + 28/100 = 45/100
0.45 = 0.5 + -0.05 = 1/2 + -1/20 = 10/20 + -1/20 = 9/20
In general when a/b + c/d = 9/20 then bd must be a multiple of 20
a/b + c/d = ad/bd + bc/bd = (ad + bc)/bd = n(9/20)
Let’s try 1/3 as the first fraction
1/3 + c/d = 9/20
c/d = 9/20 - 1/3 = 27/60 - 20/60 = 7/60
1/3 + 7/60 = 0.3333… + 0.11666… = 0.45
Here is an extreme example
3/7 + c/d = 9/20
c/d = 9/20 - 3/7 = 63/140 - 60/140 = 3/140
So 3/7 + 3/140 = 9/20 = 0.45
The decimals needed are recurring and hard to find!
Answer:
Monthly: $4,821
Weekly: $1112.54
Step-by-step explanation:
<u>Monthly </u>
A monthly salary can be found by dividing the yearly salary by the number of months.
salary / months
His salary is $57,852 and there are 12 months in a year.
$57,852/ 12 months
Divide
$4,821 / month
Jeremy makes $4,821 per month.
<u>Weekly </u>
To find the weekly salary, divide the yearly salary by the number of weeks.
salary / weeks
He makes $57,852 each year and there are 52 weeks in one year.
$57,852 / 52 weeks
Divide
$1112.53846 / week
Round to the nearest cent. The 8 in the thousandth place tells use to round the 3 up to a 4 in the hundredth place.
$1112.54 / week
Jeremy makes $1112.54 per week
Step-by-step explanation:
Answer:
It B
Step-by-step explanation:
This is because the y-intercept is 3 and it going down
Hope this Helped