After $3$ years of your unpaid outstanding balance of $$1000($P$)$ with a credit card company, you have to pay off your debt at the amount of $$2040($F$)$ by the end of year$3.$ The credit card company compounds the interest monthly. $(10$ points$)$

Find:

b$)$ the rate of interest$/$month that you are paying. $(2$ points$)$

c$)$ What is the nominal rate of interest? $(2$ points$)$

d$)$ What is the actual or effective rate of interest$/$year that you paid to the credit card company. $(2$ points$)$