Answer:
the age of daughter is 28yrs
Answer:
(A) 100 (in thousands)
(B) 180 (in thousand dollars)
Step-by-step explanation:
Given:
profit function as P(q) = -0.02q² + 4q - 20
where,
q is the number of thousands of pairs of sunglasses sold and produced,
P(q) is the total profit in thousands of dollars
To find the point of maxima differentiating the above equation and equating it to zero
P'(q) = - (2)0.02q + 4 - 0 = 0
or
⇒ - 0.04q + 4 = 0
or
⇒ - 0.04q = - 4
or
⇒ q = 100
Hence,
(A) 100 pairs of sunglasses (in thousands) should be sold to maximize profits
(B) Substituting the value of q in the profit function to calculate the actual maximum profit
P(q) = -0.02(100)² + 4(100) - 20
or
P(q) = - 0.02(10000) + 400 - 20
or
P(q) = - 0.02(10000) + 400 - 20
or
P(q) = 180 (in thousands dollar)
Answer:
Step-by-step explanation:
Answer:
5. No, Triangle J K L is a Reflection, not a translation
6. Its 11 to the right, and 2 up
Answer:
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.
