Which line has a slope of 12 and a y-intercept of 2?
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a) The <em>compound interest</em> equation is .
b) There is an approximate loss of $ 987.16.
c) The stock will take approximately 12.979 to decrease by half.
<h3>How to find stock losses by compound interest model</h3>
<em>Compound interest</em> model represents the gain of a deposit as a function of the number of periods and <em>initial</em> amount. The model is represented below:
(1)
Where:
- Initial capital, in monetary units.
- Interest rate.
- Period number.
- Current capital, in monetary units.
Capital decreases in time when <em>interest</em> rate is a <em>negative</em> number. The equation that models the situation is and the current capital after eight years is:
C = 4250 · 0.9675⁸
C = 3262.84
That represents an approximate loss of $ 987.16.
And the number of periods required to decrease the capital by half is:
㏒ 0.5 = t · log 0.9675
t ≈ 20.979
The stock will take approximately 12.979 to decrease by half.
To learn more on compound interest: brainly.com/question/14295570
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Answer: Restaurant's monthly breakeven point in sales is $31333.
Step-by-step explanation:
Since we have given that
Number of guests = 20,000
Average sales = $120,000
Contribution margin per guest = $1.50
Let the number of sales be 'x'.
Cost per sales would be
Margin contributed by 2000 guests would be
So, Revenue function would be
Fixed monthly cost = $ 50,000
Variable cost for 20000 guests = $90000
So, Variable cost per sale would be
So, Cost function would be
Breakeven point would be
Cost function = Revenue function
Hence, Restaurant's monthly breakeven point in sales is $31333.