Answer:
9x>63$
Step-by-step explanation:
nine $ aquarium , at most > 63$
Answer:4,1x101, 9, 4.1, 2, 0.42, 0.042
Step-by-step explanation:
Answer:
$7,000
Step-by-step explanation:
Let x = the part of $16,000 that was lent at 8%.
Then 16,000 - x is the part that was lent at 16%.
The interest earned at 8% is 0.08x.
The interest earned at 16% is 0.16(16,000 - x).
The total interest earned is 0.08x + 0.16(16,000 - x).
The total interest earned was $2,000, so
0.08x + 0.16(16,000 - x) = 2000
Now we solve for x to find out the amount lent at 8%.
0.08x + 0.16(16,000 - x) = 2000
0.08x + 2560 - 0.16x = 2000
-0.08x + 2560 = 2000
-0.08x = -560
x = 7000
Answer: $7,000
<span>The graph you plotted is the graph of f ' (x) and NOT f(x) itself. </span>
Draw a number line. On the number line plot x = 3 and x = 4. These values make f ' (x) equal to zero. Pick a value to the left of x = 3, say x = 0. Plug in x = 0 into the derivative function to get
f ' (x) = (x-4)(6-2x)
f ' (0) = (0-4)(6-2*0)
f ' (0) = -24
So the function is decreasing on the interval to the left of x = 3. Now plug in a value between 3 and 4, say x = 3.5
<span>f ' (x) = (x-4)(6-2x)
</span><span>f ' (3.5) = (3.5-4)(6-2*3.5)
</span>f ' (3.5) = 0.5
The function is increasing on the interval 3 < x < 4. The junction where it changes from decreasing to increasing is at x = 3. This is where the min happens.
So the final answer is C) 3
(x-4)(x-5)
x² -4x -5x + 20
x² -9x + 20