Refer to the accompanying cash$-$flow diagram and solve for the unknown quantity in parts $($a$)$ through $($d$)$ that makes the equivalent value of cash outflows equal to the equivalenet value of the cash inflow, F$.$

a$)$ If F$=$$$10,000,$ G$=$$$600,$ and N$=6,$ then i$=?$

b$)$ If F$=$$$10,000,$ G$=$$$600,$ and i $=5\%$ per period, then N$=?$

c$)$ If G$=$$$1000,$ N$=12,$ and i$=10\%$ per period, then F$=?$

d$)$ If F$=$$$8,000,$ N$=6,$ and i$=10\%$ per period, then G$=?$

Note to solve for i in part a$,$ and N in part b$,$ please use the Interpolation Method and draw for part a the required similar triangles, for parts c and d be careful in setting up the required equations.