*Please show work, will upvote*

1. You need a business loan. There are two options for banks available to you. The 1st bank offers a annual rate equal of twelve percent compounded monthly. The 2nd bank offers a annual rate of 12.2 % compounded semi annually. Which bank presents a better offer for you?

2. You are a partner at a company. When you decide to leave your contract says your ownership is paid out immediately with a payment worth three % of the last year sales revenue. Last year there was a revenue of five million. The company offers an alternative plan to keep the money for future investments. The estimated revenue will increase by twenty two and a half percent each year compounded annually. The discount rate that applies to you is ten percent, so which option is better? a) three percent of last years revenue -or- two and half % of estimated revenue in 2 years?

3. You took a loan for four hundred thousand and paid twenty percent as down payment while securing a thirty year mortgage for the rest of the balance. Payments are due every month. There is an annualized rate of five percent compounded each month, so what is the monthly payment?

4. You have a deal with a publisher an will receive payments over the next 5 years as follows: $10k, $20k, $30k, $40k, & $50k (from p=1 to p=5). After year five you receive annuity of $85k from the sixth year (p=6) to the fifteenth year (p=15). The discount rate is ten %. What is the contract worth at this moment at p=0?