Answer:
![f(n) = \frac{1250}{11}(11)^n](https://tex.z-dn.net/?f=f%28n%29%20%3D%20%5Cfrac%7B1250%7D%7B11%7D%2811%29%5En)
Step-by-step explanation:
Given
![f(n) = 1250(11)^{n-1}](https://tex.z-dn.net/?f=f%28n%29%20%3D%201250%2811%29%5E%7Bn-1%7D)
Required
Write as exponential function
An exponential function is represented as:
![f(n) = ab^n](https://tex.z-dn.net/?f=f%28n%29%20%3D%20ab%5En)
![f(n) = 1250(11)^{n-1}](https://tex.z-dn.net/?f=f%28n%29%20%3D%201250%2811%29%5E%7Bn-1%7D)
Apply law of indices
![f(n) = \frac{1250(11)^n}{11}](https://tex.z-dn.net/?f=f%28n%29%20%3D%20%5Cfrac%7B1250%2811%29%5En%7D%7B11%7D)
![f(n) = \frac{1250}{11}(11)^n](https://tex.z-dn.net/?f=f%28n%29%20%3D%20%5Cfrac%7B1250%7D%7B11%7D%2811%29%5En)
<em>The above represents the exponential function</em>
Answer:
190 children and 150 adults
Step-by-step explanation:
1. 1.25x + 2y = 537.5
2. x + y = 340
Here, x represents the children and y represents the adults.
Again, the first equation represent the cost of tickets, while the second represents the number of people.
From the above equation, we can solve for x and y
From equation 2,
x + y = 340
x = 340 - y
Substitute for x in equation 1
1.25x + 2y = 537.5
Then,
1.25(340 - y) + 2y = 537.5
Expand the bracket
425 - 1.25y + 2y = 537.5
Collect like terms
-1.25y + 2y = 537.5 - 425
0.75y = 112.5
y = 150.
To get the value of x, substitute for y in equation 2
x + y = 340
x + 150 = 340
x = 340 - 150
x = 190
Therefore,
There were 190 children and 150 adults at the pool that day
Answer:
0.8
Step-by-step explanation:
The tax is calculated as the total price of the object multiplied by the amount of sales tax.
Three hundred and forty-one of one thousand
PLS HELP ASAP I DONT HAVE TIME AND IT ALSO DETECT IF ITS RIGHT OR WRONG! PLS HELP ASAP I DONT HAVE TIME AND IT ALSO DETECT IF ITS RIGHT OR WRONG!