Answer:
The percentage of discounted tickets with respect to total tickets is 75 %
Step-by-step explanation:
Given as :
The total tickets of amusement park = 5,000
The total discounted tickets of amusement park = 3,750
Let The percentage of discounted tickets with respect to total tickets = D %
Now, According to question
The discounted percentage =
× 100
or, D =
× 100
or, D = 0.75 × 100
or D =
× 100
∴ D = 75 %
So, percentage discounted tickets = D = 75 %
Hence The percentage of discounted tickets with respect to total tickets is 75 % . Answer
Answer:
The population in 1995
501170
Is the population increasing or decreasing?
The population is decreasing
The rate of population change
![-10124.99(0.98^{x} )](https://tex.z-dn.net/?f=-10124.99%280.98%5E%7Bx%7D%20%29)
population in the year 2020
302439
Step-by-step explanation:
Since 1995 is the base year, the population in 1995 is simply found by setting x equal to 0 in the given function;
![f(0)=501170(0.98^{0})=501170](https://tex.z-dn.net/?f=f%280%29%3D501170%280.98%5E%7B0%7D%29%3D501170)
The population is clearly decreasing over time since the base of the exponent, 0.98, is less than 1.
The rate of population change is obtained by differentiating the function with respect to x using the rule;
![if y=a^{x}\\\frac{dy}{dx}=a^{x}*lna\\](https://tex.z-dn.net/?f=if%20y%3Da%5E%7Bx%7D%5C%5C%5Cfrac%7Bdy%7D%7Bdx%7D%3Da%5E%7Bx%7D%2Alna%5C%5C)
The population in the year 2020 is obtained by setting x equal to 25 in the population function since 2020-1995 = 25;
![f(25)=501170(0.98^{25}) =302439](https://tex.z-dn.net/?f=f%2825%29%3D501170%280.98%5E%7B25%7D%29%20%3D302439)
1) Seven divided by the difference of 10 and 3
2) A fraction where the numerator is seven, and the denominator is the difference of 10 and 3
3) Seven divided by the quantity of 3 subtracted from 10
Answer:
y=6(x+1)^(2)-16
Step-by-step explanation:
Use the formula x=-b/2a
Plug it in for x to get y. That will give you the vertex. Plug the numbers in where they go. There will be one number left that hasn't been filled out. The first number in the equation id 6, so it goes out front.
Answer:
This is the answer. a=-12/2+b