Answer:
the value of x is acb 133°
Answer:
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Step-by-step explanation:
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Answer:
The function r(x)=(2+.25x)(240-20x) reveals that the revenue earned by the cafe from coffee sales will be $500 after 2 $0.25 price increases.
Step-by-step explanation:
The revenue from sales is the product of the price per cup and the number of cups sold.
For x increases of $0.25 each, the price per cup is (2 +0.25x).
For x increases of $0.25 each, the number of cups sold is (240 -20x).
Then the revenue as a function of x is ...
r(x) = (2 +0.25x)(240 -20x)
The revenue function can be simplified to better show its zeros.
r(x) = 5(8 +x)(12 -x)
The maximum is halfway between the zeros, so is at x = (-8 +12)/2 = 2.
When x=2, the revenue is ...
r(2) = 5(8+2)(12-2) = 5(10)(10) = 500
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The function <u>r(x)=(2+.25x)(240-20x)</u> reveals that the revenue earned by the cafe from coffee sales will be <u>$500</u> after <u>2</u> $0.25 price increases.
<span>$2.35
Working
Let p represent the cost of pretzels and L the cost of a lemonade.
From the second paragraph,
2p+ L= 5.75
From the equation above, the cost of a pretzel p can be expressed as:
2p= 5.75 - L
p= 5.75/2 - l/2
The cost of two lemonades exceeds that of a pretzel by 0.25:
2 L= 5.75/2 -L/2+0.25
Solving this gives:
L=1.05
Then replace the value of L in </span><span>p= 5.75/2 - L/2
</span><span>This gives the value of a pretzel.
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