9514 1404 393
Answer:
y-4 = -2(x+1)
Step-by-step explanation:
The point-slope equation of a line is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
You have m = -2 and (h, k) = (-1, 4). Putting these numbers into the above form gives ...
y -4 = -2(x +1)
Answer:
y = 1/2x - 7
Step-by-step explanation:
slope intercept form:
y = mx + b
y = -5
m(slope) = 1/2
x = 4
y = mx + b
<em>substitute </em>
-5 = 1/2*4 + b
-5 = 2 + b
-5 - 2 = b
-7 = b
y = 1/2x - 7
They’re both perpendicular, I used a graphing calculator to get the interpret answer
1. Observe that the f(t) is change by 4 per time t => there's a acceleration of 4 => f''(t) = 4; Take the derivative of it we can get a velocity function. f'(t) = 4t + c. Since the velocity from 100 to 80 is -20 (average), this means at t = 0, f'(0) = -22 => f'(t) = 4t - 22; Take the derivative again to get the position function: f(t) = 2t^2 - 22t + d, here d = 100 should be trivial. So, the function that models the relationship is f(t) = 2t^2 - 22t + 100.
2. By the compound interest formula:
A = P (1 + r/n)^(nt) , since it's yearly, so n = 1;
results A(t) = 100 (1+0.12)^t.
3. The average rate of change is basically finding the slope, m = y1 - y2 / x1 - x2.
Answer:
About $1,178,974
Step-by-step explanation:
Alright, the sequence we have right now is:
500,000 550,000 605,000
We want to find the common ratio, so let's divide 550,000 by 500,000 and see if we get the same value as 605,000 divided by 550,000:
550,000/500,000 = 1.1
605,000/550,000 = 1.1
Now, we know that r = 1.1. We also know the first term is: 
= 500,000.
We use the explicit rule of a geometric sequence:
Here, we want to find 
, which means that n = 10. We know r and , so we just plug in these values:
≈ 
≈ 
Thus, the answer is about $1,178,974.
Hope this helps!
