Per ticket cost $17.25
Per person conveyance fee $3.00
Percent increase in the cost of per ticket
17.39%
A little less than 100. 593 is 7 numbers away from 600, so if you divide 6 by 600 hundred the answer is 100. Since 593 is less than 600, the answer will be less than 100.
Answer:
Step-by-step explanation:
The equations are not independent. They represent the same graph.
There are an infinite number of solutions.
A. You would be able to prove it by SSS. One side is already said to be congruent and the other is shared by both.
If we want to find when the population of species A will be equal to the population of species B, we need to see when the two equations for the population of each species are equal, ie. equate them and solve for t. Thus:
2000e^(0.05t) = 5000e^(0.02t)
(2/5)e^(0.05t) = e^(0.02t) (Divide each side by 5000)
2/5 = e^(0.02t) / e^(0.05t) (Divide each side by e^(0.05t))
2/5 = e^(-0.03t) (use: e^a / e^b = e^(a - b))
ln(2/5) = -0.03t (use: if b = a^c, then loga(b) = c )
t = ln(2/5) / -0.03 (Divide each side by -0.03)
= 30.54 (to two decimal places)
Therefor, the population of species A will be equal to the population of species B after 30.54 years.
I wasn't entirely sure about the rounding requirements so I've left it rounded to two decimal places.
