Scott deposits:$($a$)$ $$1$ at the beginning of each quarter in year $1.($b$)$ $$2$ at the beginning of each quarter in year $2.($c$)$ $$8$ at the beginning of each quarter in year $8.$One quarter after the last deposit, Scott withdraws the accumulated value ofthe fund and uses it to buy a perpetuity$-$immediate with level of paymentsof X at the end of each year. All calculation assume a nominal interest rateof $10\%$ per annum compounded quarterly. Calculate X$.$