1) 12 out of 14 = 85% Win Rate
2) Now you have to figure out what is 85% of 21 so you have to plug in what you have ? out of 21 = .85
3) Multiply 21 x .85
4) Answer is They will win 18 out of 21 games
Given that speed of car = x miles per hour
Time of travel = y minutes = y/60 hours
(Because there are 60 minutes in an hour)
We have to calculate distance travelled so we will use formula
Distance = speed * time
Distance = x * y/60
Distance = xy/60
Hence choice d) xy/60 is the final answer.
Answer:
The exponential equation is;
y = 0.1•0.5^x
Step-by-step explanation:
Here, we want to get the exponential function represented by the table
Mathematically, the general form of an exponential function is;
y = a•b^x
By getting a and b, we have the exponential function
We can use any of the points;
Let us start with (0,0.1)
0.1 = a•b^0
anything raised to zero is 1
0.1 = a * 1
a = 0.1
Now, we have a
Let us work with the second point to get b
The point is (1,0.05)
0.05 = 0.1•b^1
0.05 = 0.1b
b = 0.05/0.1
b = 0.5
Thus, we have the equation as;
y = 0.1•0.5^x
3/5 or 60% of the tank will be filled in an hour.
Answer:
It will have a population of 61,779 in 2000.
Step-by-step explanation:
The population for the city, in t years after 1900, can be modeled by a exponential function with constant growth rate in the following format:
In which P(0) is the population in 1900 and r is the growth rate.
Population of 24,000 in 1900
This means that 
Population of 29,000 in 1920.
1920 is 1920 - 1900 = 20 years after 1900.
This means that P(20) = 29000. So
![\sqrt[20]{(1+r)^{20}} = \sqrt[20]{\frac{29000}{24000}}](https://tex.z-dn.net/?f=%5Csqrt%5B20%5D%7B%281%2Br%29%5E%7B20%7D%7D%20%3D%20%5Csqrt%5B20%5D%7B%5Cfrac%7B29000%7D%7B24000%7D%7D)
So
What population will it have in 2000
2000 is 2000 - 1900 = 100 years after 1900. So this is P(100).
It will have a population of 61,779 in 2000.
