Ping and Dakota take out a mortgage of $$170000\mathrm{.}00$ at $5\mathrm{.}8\%$ compounded semi$-$annually

over $30$ years. They are deciding between paying it off in regular weekly payments or in

regular monthly payments.

a$)$ Determine the total payments for one year in each case. How much do Ping and

Dakota save each year with the weekly payment plan? Show your work. $[6$ marks$]$

b$)$ Determine the total payments and interest paid in each case. How much do Ping

and Dakota save over the life of the mortgage with the weekly payment plan?