Apassword is required to be 12 to 16 characters in length. characters can be digits (0-9), upper or lower-case letters (a-z, a-z) or special characters. there are 10 permitted special characters. there is an additional rule that not all characters can be letters (i. e. there has to be at least one digit or one special character.) how many permitted passwords are there? give your answer in un-evaluated/un-simplified form and explain it fully.

James purchased a $205,000 home with a 30-year mortgage at 5.78%. if makes a $1500 monthly mortgage payment, how many months early will he pay off his mortgage? a. 180 months b. 224 months c. 127 months d. 136 months

Acircle has a circumference of 2 pi cm. which statement about the circumference and area is true? a comparison of the area and circumference is not possible since the area cannot be determined. the numerical values of the circumference and area of the circle are equal. the numerical value of the circumference is greater than the numerical value of the area. the numerical value of the circumference is less than the numerical value of the area.

What are the solutions of the system? solve by graphing. y = x^2 + 3x + 2 y = 2x + 2