To find the slope, you find the change in y-values over the change in x-values.
Your first point is: (5,-3)
Your second point is (8, -5)
Your x-values are: 5 and 8
Your y-values are -3 and -5
The equation to find slope is: slope = (y2-y1)/(x2-x1)
- The 2s and 1s indicate which point the values belong to, it makes sure that you align the right x-value with its correct y-value. It doesn't matter which point you assign as 1 or 2, as long as the values match
- So, x-value 5 will match with y-value -3, and x-value 8 will match with y-value -5
Now you plug in out values :
slope = (y2-y1)/(x2-x1)
slope = (-5-(-3))/(8-5)
slope = (-2)/(3)
slope = -2/3
The answer your looking for is 10x
The amount after 2 years is $2,295.
Given that,
- The invested amount is $1,240.
- The rate of interest is 8%.
- The number of years is 2 × 4 = 8
Based on the above information, the amount after 2 years is
Future value = Present value ×(1 + rate of interest)^number of years
= $1,240 × (1 + 0.08)^8
= $1,240 × 1.08^8
= $2,295
Therefore we can conclude that the amount after 2 years is $2,295.
Learn more: brainly.com/question/18051939
Mode is just the most reacurring number so just put 11 in the boxes
Step-by-step explanation:
I assume AB is supposed to be a straight line. yes ?
in that case please remember that all angles on top of a line (and then again below a line) must sum up to 180 degrees (this is what it takes to flip a "stick" on that line from left to right).
so, COD covers already 90 degrees of these 180.
that means AOD + BOC = 180 - 90 = 90 degrees.
now we know that the 2 angles are in the ratio of 1:5.
that means that BOC is 5 times as large as AOD.
and we can be more direct :
since the 2 angles are in the ratio 1:5 we are actually splitting the remaining 90 degrees into 6 parts (5+1).
and BOC gets then 5 of these 6 parts, and AOD gets the remaining 1 part.
so,
90/6 = 15
therefore, one of these parts is 15 degrees.
so, we know AOD = 15 degrees.
BOC = 5×15 = 75 degrees
or simply 90 - 15 = 75 degrees
