Answer:
S'(x)=-0.006x2+0.8x+9
Step-by-step explanation:
The rate of change of the sales S(x) with respect to the amount of money spent on advertising x is then the derivative of S(x) with respect to x. What we have to calculate is S'(x).
We know that the derivative of 
is 
(where a is a constant), and the derivative of a sum is the sum of the derivatives, so we can calculate the derivative of each term independently:
S'(x)=(−0.002x3 + 0.4x2 + 9x + 500)'=(−0.002)(3)x2 + (0.4)(2)x + 9
Which means:
S'(x)=-0.006x2+0.8x+9
The probability of coin landing with heads is an independent event.
The probability of winning 1st and 2nd prize is a dependent event.
<h3>What are independent and dependent events?</h3>
Independents events are events whose occurrence do not depend on each other. They are random events. The probability of a coin landing on heads is a random event.
Dependent events are events that are not random. The outcome of one event depends on the outcome of another event.
To learn more about independent events, please check: brainly.com/question/13075229
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Answer:
1
Step-by-step explanation:
becuse of the nubers you would take them and put them on the graph
Answer:
10
Step-by-step explanation:
Sales tax and tip will increase the price of an item.
The cost of each meal is: $10.89
Let the cost of both meals be x.
A 20% tip means that, the current price is:
A 6% sales tax on the meal means that, the current price is:
So, we have:
The amount paid is $27.72
So, the equation becomes
Make x the subject
So, the cost of each meal is:
Hence, the cost of each meal is: $10.89
Read more about sales tax at:
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