Answer:
y= -1/2x-4
Step-by-step explanation:
By standard form, I'm assuming you mean slope-intercept form, which is y=mx+b. First, we need to find m, or the slope. To do this, we need to plug it into this equation: m= y2-y1/x2-x1. We can rewrite this with our two points, so we make it into m= -5+3/2+2. I did plus signs because if you subtract a negative number from a number, it has the same effect as addition does. Now, we have m= -2/4, which we can simplify to -1/2. Now, we have y=-1/2x+?. Now, let's plug in the numbers in slope-intercept form. I'll choose the ordered pair (-2, -3) for this example. Now that I've plugged the numbers in y=mx+b form (slope-intercept form), we have -3=(-1/2⋅-2)+b. Now, we solve it. First, we do the problem in the parenthesis, from that, we get 1. Now, we have -3=1+b, let's subtract 1 from both sides. Now, we have -4=b. That means our y-intercept is -4. Let's plug this back in the equation. We get y=-1/2x-4. I hope this helps!
Answer: -3
Step-by-step explanation:
The rate of change in a graph is the same as the slope. To find the slope, divide the change in y by the change in x. In this case, it's -9/3, which gets you -3.
Answer:
$2647.18
Step-by-step explanation:
Data provided in the question:
Rate = 9% compounded quarterly
interest rate per period, i = 9% ÷ 4 = 2.25% = 0.0225
Future value = $43,000
Time = 3.5 years
Number of periods, = 3.5 × 4 = 14
Now,
Let the annual payments be 'A'
Thus,
Future value = A × [ (1 + i)ⁿ - 1 ) ÷ i ]
or
$43,000 = A × [ (1 + 0.0225)¹⁴ - 1 ) ÷ 0.0225 ]
or
$43,000 = A × 16.244
or
A = $2647.18
The question is not shown all the way therefore i cannot answers
