Answer:
They are congruent by AAS.
Step-by-step explanation:
Side BD is common to both triangles and 2 pairs of corresponding angles are congruent.
594 customers need to be served so as to earn a profit of Php 40000
Profit is the difference between revenue and cost. It is given by:
Profit = Revenue - Cost
Given the profit function:
P(x) = 0.00019x³ - 2.6x + 1800
Where x is the number of customers.
For a profit of 40000:
40000 = 0.00019x³ - 2.6x + 1800
0.00019x³ - 2.6x - 38200 = 0
x = 593.6; x ≅ 594
594 customers need to be served so as to earn a profit of Php 40000
Given that:
N(t) = 7t⁴ - 4t³ + 150t + 17000
After 4 years, t = 4:
N(4) = 7(4)⁴ - 4(4)³ + 150(4) + 17000 = 19136
After 4 years the amount of citizens would be 19136.
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Answer:
Third placer consumed 24 hot dogs.
Winner consumed 48 hot dogs.
Step-by-step explanation:
Lets assume that the third runner up eats x hot dogs.
The total time for the contest is 15x seconds.
Given is that the winner ate (x+24) hot dogs
The winner's rate of eating is 1 hot dog per 7.5 seconds.
And we know the rate =
We get;
x = 24 (third placer)
And the winner consumed hot dogs.
Answer:
There are 8 women.
Step-by-step explanation:
Five of nine=5/9.
9x2=18, so 5x2=10. There are 10 men in the class.
18-10=8.
Answer:
50 km/h
Speed = distance/ time. 30 min= 0.5 hour.