If a number is multiplied by 7 and this product is increased by 7 the result is 1 less than 9 times the number. What is the numb
1 answer:
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Answer:
<C=26
<B=48
<D=106
<F=42
Step-by-step explanation:
I labeled all the angles to help this make more sense :)
So first we find <C, which is supplementary to <E so just do 180-154=26
Next, we know that <F and <B are equal because they form corresponding angles.
Angles <C <D and <B form a triangle. The three angles of a triangle always equal 180. Now that we know angles <C and <B, we just do 180-26-48=106.
Lastly, to find angle A, we just take 180-106-48=42.
Hope this helps
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.