Answer:
A
Step-by-step explanation:
simple interest
1000 x 6.4% x 5 = 320
compound int
1000(1+12.8/100)^5 - 1000=826.188
Hey!
There are two ways to solve this problem, I have showed you both of them below:
Method 1 -:
So we know that the x-intercept of the line is at (-5,0) and the y-intercept is at (0,-2). The most common form of the equation of a line is the slope-intercept form which is written as y=mx+b. In this equation, y and x are two points on the line, m is the slope and b is the y-intercept.
We are given the value of b which is -2. We also know two points on the line so we can find the slope. The formula for slope is (y2-y1)/(x2-x1). We can now plug in the points into the equation and get (0-(-2)/(-5-0). This simplifies to -2/5. That is your slope.
Now that we know this, we have solved for everything we need for writing the equation of the line. The equation of the line is:
y = (-2/5)x - 2
Method 2 -:
This method is a bit easier but will still give you the same result. Since you already know the y-intercept as -2, you know the value of b. You also have atleast one point so you can just plug it into the equation y = mx + b.
Now you can just plug in a point for x and y. We also know the x-intercept and that might be easier to use for solving. The x-intercept is (-5,0) and we can plug this into the equation to get 0 = m(-5) + (-2). We can now rewrite this as 0 = -5m - 2.
The next thing we do is solve for x:
0 = -5m - 2
2 = -5m
-2/5 = m
Now we know that m = -2/5, we can put this into the equation along with the y-intercept to get our answer.
y = (-2/5)x - 2
Answer:
-5.5
Step-by-step explanation:
Add all numbers and divide by 4 (the total amount of numbers)
10+(-27)+4+(-9)=-22
-22/4 = -5.5
Answer:
Step-by-step explanation:
We will find that the recursive relation for the sequence is:
How to determine a given sequence?
There is not a straightforward way of determining a sequence, we just need to try to see a pattern.
For example, if we analyze the first 3 terms:
3, 5, 12
We can see that the third number is equal to the product of the first two minus the first one:
3*5 - 3 = 15 - 3 = 12
Now let's see if this pattern remains true for any other set of 3 consecutive terms:
for 5, 12, 55 we have:
5*12 - 5 = 60 - 5 = 55
So the pattern remains.
Now let's see for the last 3.
12, 55, 648.
12*55 - 12 = 660 - 12 = 648
The pattern remains.
Then we can write a recursive relation as:
And because this relation depends on the two previous terms, we also need to specify the first two terms of the sequence, so we have:
If you want to learn more about sequences, you can read: