Step-by-step explanation:
1 dozen = 12 pears
12 pears = $36
1 pear = 36/12 = $3
Total Cost of Pears = No. of pears x price of 1 pear
= (5x12) x 3
= 60 x 3
= $180
Sale of Pears = Price per pear x (Total Pears bought - Rotten Pears)
= $4.50 x (5x12-7)
= $4.50 x 53
= $238.50
Profit/Loss = Sale of Pears - Total Cost of Pears
= $238.50 - $180
= $58.50
Ariana made a profit of $58.50.
I think group 1 if it is wrong then write is comment box
Answer:
Step-by-step explanation:
A. Rate of change (or slope) is $50
The initial tutoring fee starts out at $1200 in 2005
How do you know? Each year the cost goes up $50
2005 = $1200
2006 = $1250
2007 = $1300
2008 = $1350
B. y=50x+b
That would be 2 numbers. they are 10 and -10.
Inflection point is the point where the second derivative of a graph is zero.
y = (x+1)arctan xy' = (x+1)(arctan x)' + (1)arctan xy' = (x+1)/(x^2+1) + arctan xy'' = (x+1)(1/(1+x^2))' + 1/(1+x^2) + 1/(1+x^2)y'' = (x+1)(-1/(1+x^2)^2)(2x)+2/(1+x^2)y'' = ((x+1)(-2x)+1+x^2)/(1+x^2)^2y'' = (-2x^2-2x+2+2x^2)/(1+x^2)^2y'' = (-2x+2)/(1+x^2)^2
Solving for point of inflection: y'' = 00 = (-2x+2)/(1+x^2)^20 = -2x+2x = 1y(1) = (1+1)arctan(1) = 2 * pi/4 = pi/2
Therefore, E(1, pi/2).
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