Max occurs at x=50 where F'(x) = 0.
We need to find value for F(50) using fundamental theorem of calculus:


Where A is the estimated Area under the graph.
If we assume the shaded region is close to a right triangle then the Area is (1/2)*30*20 = 300
Therefore
Answer:
X= 9.33
Step-by-step explanation:
0.25÷3 = x ÷ 112
0.833= x/ 112
0.833 × 112 = x
9.33 = x
Answer:
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Step-by-step explanation:
A real world example of this equation might look something like this:
John Smith wanted to subscribe to Vague Co. In order to subscribe, there is an initial fee of $60, and an additional fee of $25 for each month that he's subscribed. However, John found another company he wanted to subscribe to, Random Inc., which had an initial fee of $20 and an additional fee of $35 per month. After doing a bit of math, John found that the cost to subscribe to both companies is equal for x months. How many months would it take for the costs of both subscriptions to be equal?
60 + 25x = 35x + 20 Given
60 = 10x + 20 Subtract 25x from both sides
40 = 10x Subtract 20 from both sides
4 = x Divide both sides by 10
It would take 4 months for the costs of a subscription to Vague Co. and Random Inc. to be equal.