Answer:
option 3
Step-by-step explanation:
Given the 2 triangles are similar then corresponding angles are congruent.
Calculate the missing angles in both triangles.
∠ A = 180° - (90 + 35)° = 180° - 125° = 55°
∠ L = 180° - (90 + 55)° = 180° - 145° = 35°
Consider ACB ~ MNL , comparing corresponding angles
∠ A= 55° and ∠ M = 90° ← not congruent
Consider ABC ~ LMN, comparing corresponding angles
∠ A = 55° and ∠ L = 35° ← not congruent
Consider CBA ~ LMN , comparing corresponding angles
∠ C = 35° and ∠ L = 35° ← congruent
∠ B = 90° and ∠ M = 90° ← congruent
∠ A = 55° and ∠ N = 55° ← congruent
The correct similarity statement is
CBA ~ LMN
Let x be the number of times they raise the price on the newspaper. Then the new cost of the newspaper is
Let y be the newspaper they sell, then the income will be
Now, we know that the circulation is of 500, assuming that they sold every newspaper at the original price now the number the will sell will be
Plugging the value of y in the first expression we have that the income will be
Then the income is given by the function
To find the maximum value of this functions (thus the maximum income) we need to take the derivative of the function,
no we equate the derivative to zero and solve for x.
This means that we have an extreme value of the function when x=9. Now we need to find out if this value is a maximum or a minimum. To do this we need to take the second derivative of the function, then
Since the second derivative is negative in the point x=9, we conclude that this value is a maximum of the function.
With this we conclude that the number of times that they should raise the price to maximize the income is 9. This means that they will raise the price of the newspaper (9)($0.05)=$0.45.
Therefore the price to maximize the income is $0.35+$0.45=$0.80.
Answer:
0.40d
d - 0.60d
Step-by-step explanation:
d - 0.60
This doesn't work because it wants 60<em><u>%</u></em> 0.60 without the percent is a decimal number, and is not 60% of d.
100% - 60% = 40%
0.40d works because it is multiplying 0.40 and d which is also 40%.
d - 0.60d works because it is multiplying 0.60 and d which is also 60% and then subtract it from d.
0.60d doesn't work because it want the discounted price not the discount.
1 - 0.60d doesn't work because we don't know that d = 1, so it is subtracting the discount from 1 not d.
The fourth one (The small one).
True, you can even test it out yourself. If the domain (x) is the same then it will be a vertical line. Like if you graphed (1,2) (1,4), (1,6) it will be a vertical line on your graph. I hope this helps!
