$1-$According to a study by the national economics bureau the college tuition has increased by $10\%$ per year over the last $7$ years to $$24000.$

a$)$ How much of the $$24000$ tuition is due to inflation, If average inflation over the last $7$ years was $3\%$ per year?

b$)$ How much was the cost of tuition $7$ years ago in real dollars, if the Real interest rate was $4\%$ and average inflation was $3\%$ per year?

c$)$ How much would be college tuition in $5$ years in actual$/$nominal dollar, assuming inflation and the interest rates given in parts a and b$?$