Answer:
Sleaford Rockers will get £94000.
Explanation:
The arena has come to an agreement with the Sleaford Rockers to pay them according to this formula:
![b=tp-((s+2000))/(3)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/7mz07nzgcsw5jfdiwv2cdk5oqwjogtc9zu.png)
where,
b is band payment
t is ticket sales
p is ticket price
s is security cost
We need to find amount that will the Sleaford Rockers get paid if they sell 8,000 tickets at £12 each and the security cost is £4,000.
Substitute t=8000, p=12 and s=4000 in the given formula.
![b=8000* 12-((4000+2000))/(3)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/qsmjrsqhxhcvmxssurzewu21uzwfoyq1d2.png)
![b=96000-(6000)/(3)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/fp2rklluhz5lgvfg5nnnfsxm2kiqxms9hv.png)
![b=96000-2000](https://img.qammunity.org/2019/formulas/mathematics/middle-school/yf0jjxhrx3pclkfko2e5y3tmsq623yldj3.png)
![b=94000](https://img.qammunity.org/2019/formulas/mathematics/middle-school/x62dcjelhd7nf9536ermrasq7rb7hgi2fu.png)
Therefore, Sleaford Rockers will get £94000.