Four million fifty-two thousand six hundred and eight inches
Answer:
The interest rate is 8% p.a.
Step-by-step explanation:
Simple interest changes by the same amount each year (per annum)
So in this case, it is $480 per year ($4800/10 years)
480/6000 = is 8%
The interest rate is 8% p.a.
I think its 6 but im not sure to be exactly right
Answer:
Pavilion seats: 1000
Lawn seats: 600
Step-by-step explanation:
Let p represent tickets for pavilion seats and l represent that of lawn seats
Then the total number of tickets is
![p + l = 1600....(1)](https://tex.z-dn.net/?f=p%20%2B%20l%20%3D%201600....%281%29)
The total revenue is
![25p + 15l = 34000....(2)](https://tex.z-dn.net/?f=25p%20%2B%2015l%20%3D%2034000....%282%29)
We make p the subject in the first equation:
This implies that:
![p = 1600 - l.....(3)](https://tex.z-dn.net/?f=p%20%3D%201600%20-%20l.....%283%29)
Put equation (3) into equation (2).
This gives us:
![25(1600 - l) + 15l = 34000](https://tex.z-dn.net/?f=25%281600%20-%20l%29%20%2B%2015l%20%3D%2034000)
Expand to get:
![40000 - 25l + 15l = 34000](https://tex.z-dn.net/?f=40000%20-%2025l%20%2B%2015l%20%3D%2034000)
Group similar terms:
![- 25l + 15l = 34000 - 40000](https://tex.z-dn.net/?f=%20-%2025l%20%20%2B%2015l%20%3D%2034000%20-%2040000)
Simplify to get
![- 10l = - 6000](https://tex.z-dn.net/?f=%20-%2010l%20%3D%20%20-%206000)
![\implies \: l = 600](https://tex.z-dn.net/?f=%20%5Cimplies%20%5C%3A%20l%20%3D%20600)
Put l=600 into equation (3) to get:
![p = 1600 - 600 = 1000](https://tex.z-dn.net/?f=p%20%3D%201600%20-%20600%20%3D%201000)
Therefore 1000 pavilion seats and 600 lawn seats were sold.