Mr Smyth would like to set aside funds today for his newborn daughter's school fees. His daughter will commence school in exactly 6 years' time. He anticipates he will need to pay $8000 per year for first 6 years after she starts at primary school and then $10,000 per year for another 6 years once she completes primary school and commences high school. Fees are paid at the beginning of each year. Mr Smyth can earn 10% pa compounded semi-annually on his savings. How much money does Mr Smyth need today to achieve his goal?

the answer is $36,014.22. how to get it?