A state’s license plate number consists of three alphabet le…

A state’s license plate number consists of three alphabet letters followed by 2 digits. For example, “DZL32” is a valid license plate number, and so is “BTB66.” Clearly, repetition is allowed. How many valid license plate numbers are possible? There are 26 letters in the English alphabet. But assume you cannot use X, Y, or C.  Write ONLY your answer in the response box. Show your work which justifies your answer ON YOUR PAPER.

Suppose you have had some financial trouble recently, and yo…

Suppose you have had some financial trouble recently, and your credit score is not so great. You apply for a 30-year mortgage and are told that your monthly payment will be $2200.00. Your friend, with a much better credit score, applies for a 30-year mortgage for the same amount and is told that her monthly payment will be $2050.00. Calculate how much extra you will be paying compared to your friend (over the 30-year term of the mortgage).  Write ONLY your answer in the response box. Show your work which justifies your answer ON YOUR PAPER.