Alright, lets get started.
Current tution fee this year = $ 5952 means P = 5952 $
tuition is expected to increase 5% every year means r = 5%
As mentioned in question, tution fee is getting increased yearly means n = 1
So, after 5 years, total fees will be
![A = P(1+r)^t](https://img.qammunity.org/2019/formulas/mathematics/high-school/v5wubzwrrxyuu3djdneb9lpj8qhefmz717.png)
![A = 5952(1+(5)/(100) )^5](https://img.qammunity.org/2019/formulas/mathematics/high-school/194e6ktub4e0ejjaekpiksimnr8eulbzwg.png)
![A = 5952 (1+0.05)^5](https://img.qammunity.org/2019/formulas/mathematics/high-school/sml0b2tfjzmcqby6b6bn7z8obq78zt12uo.png)
![A = 5952(1.05)^5](https://img.qammunity.org/2019/formulas/mathematics/high-school/1vlnys16ky0u1vhgrcfddxkfnwk3suu6n6.png)
![A = 5952*1.27628](https://img.qammunity.org/2019/formulas/mathematics/high-school/u6eefyn8t8gtwmf9cd2rf4owksyl2fsjnk.png)
![A = 7596.4](https://img.qammunity.org/2019/formulas/mathematics/high-school/q2qwx74rgzxpwbm1xvrpeld7q3ipv77het.png)
So, the tuition at a community college cost in 5 years will be $7596.4 : Answer
Hope it will help :)