Answer:
The price that maximizes the revenue is $20
Step-by-step explanation:
(a) Express the daily revenue from ticket sales, R as a function of the number of $1.00 price increases,
R(x) = (70000-2500x)(12+x)
(b) What ticket price maximizes the revenue from ticket sales?
The ticket price that maximizes the revenue is associated with the x of the vertex of the parabola.
R(x) = (70000-2500x)(12+x) = 840000 + 70000x - 30000x - 2500x² =
-2500x² + 40000x + 840000
x vertex = -b/2a = -40000/2.(-2500) = 8
12+8 = 20
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Answer: an increase in the average speed a car travels and a decreased in the time it takes to reach the destination
Step-by-step explanation:
m<ABD = 52 Given
BC bisects <ABD Given
m<ABC = m<CBD Definition of angle bisector.
m<ABC +m<CBD = m<ABD Angle addition postulate.
m<ABC +m<CBD = 52 Substitution
m<ABC + m<ABC= 52 Substitution
2m<ABC = 52 Combining like angles
m<ABC = 26 Division property of equality.
Answer:
(4+7i)-2i(2+3i) = 10+3i
Step-by-step explanation:
We need to find the expression that is equivalent to the complex number 10+3i.
Option 1. 2i(4-5i)+(1-7i)
=8i-10i²+1-7i
∵ i² = -1
=8i-10(-1)+1-7i
=8i+10+1-7i
=11+i (incorrect)
Option 2. (4+7i)-2i(2+3i)
=4+7i-4i-6i²
=4+7i-4i-6(-1)
=4+7i-4i+6
=10+3i (Correct)
Option 3. (-3+5i)-3i(4+5i)
= (-3+5i)-12i-15i²
= -3+5i-12i-15(-1)
= -3+5i-12i+15
=12-7i (incorrect)
Option 4. 3i(4+7i)+(11+2i)
= 12i+21i²+11+2i
=12i+21(-1)+11+2i
= 12i-21+11+2i
=14i-10 (incorrect)
Hence, the correct option is (B).
