A particular sound wave can be graphed using the function y = 1 sin 2x y = 1 sin 2 x . Find the amplitude of the function.
1 answer:
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Answer:
The number of elephant ears that must be sold to maximize profit is 400.
Step-by-step explanation:
Given that,
The profit that a vendor makes per day is given by
P(x)= - 0.004x² +3.2 x -200
where x is number of elephant ears.
P(x)= - 0.004x² +3.2 x -200
Differentiating with respect to x
P'(x)= - 0.008x+3.2
Again differentiating with respect to x
P''(x) = -0.008
For maximum or minimum P'(x)=0
- 0.008x+3.2=0
⇒0.008x=3.2
⇒ x = 400
Since at x=400, P''(x)<0, the profit is maximize.
P(400) = -0.004×400²+3.2×400-200
=440
The number of elephant ears that must be sold to maximize profit is 400.
Answer:
Option B.
Step-by-step explanation:
The future value formula, for an annuity, is:
An annuity means that a number of payments happen during the period(an year, for example).
P is the value of the deposit, r is the interest rate, as a decimal, and n is the number of deposits.
In this question:
Deposits of $765.13, so
Each month, for 3 years. An year has twelve months, so
2% Interest a year. An year has 12 months, so
Find the final amount of the account.
The final amount of the account will be $28,363.46, which is option B.