The second choice is the answer: the initial value is the y value (which is 4) and the rate of change is the slope. The slope is calculated with rise/run, so the rise in this situation is that it moves down (negative) by 3 (rise=-3) and the run is how much it moves to the right (run=4). Therefore, the rate of change is rise/run which is -3/4
Answer:
y = (-4/5)x + 12/5
Step-by-step explanation:
Slope = (4-0)/(-2-3) = 4/-5 = -4/5
y = (-4/5)x + c
When x = 3, y = 0
0 = (-4/5)(3) + c
c = 12/5
y = (-4/5)x + 12/5
5y = -x + 12
5y + x = 12
<span>First year is 30,000.
</span><span>Earn 5% raise every year.
</span>Growth factor is 1.05 this sounds a lot like a geometric ratio.
An = A1 × r^(n-1)Sn = A1 × (1 - r^n) / (1-r)<span>n = 40
A1 = 30,000
A40 = $30,000 * 1.05^39 = $201,142.53
S40 = A1 * (1 - 1.05^40) / (1-1.05) which becomes:
S40 = 30,000 * -6.039988712 / -.05 which becomes:
</span>S40 = -181,199.6614 / -.05 which becomes:
S40 = $3,623,993.227
<span>The individual yearly calculations are shown below: </span>
Answer: 9/24
Step-by-step explanation: multiply 8 by 3 to get 24 so you would multiply the 3 by 3 to get 9 as the numerator.