Hi, need your assitance with assigment math. thank you

STANDARD NORMAL 1. A normal distribution has a mean of 84 and a standard deviation of 7. What is the Z score that corresponds with 95? PROBABILITY 2. Two dice are rolled. Find the following probabilities. a. b. c. d. P (the sum of the dice is 5) P (the sum of the dice is 8) P (the sum is 3 or 6) P (the sum is more than 10) Mathematics of Finance 3. Antonio plans to buy a new car three years from now. Rather than borrow at that time, he plans to invest part of a small inheritance at 7.5% compounded semiannually to cover the estimated $6000 tradein difference. How much does he need to invest if he starts investing now? 4) You invested $25,000 into two accounts: one that has simple 3% interest, the other with 2% interest. If your total interest payment after one year was $600, how much was in each account after the year passed? For the following problem, graph the system of inequalities. Show (by shading in) the feasible region. 5. y - 2x + 4 , y - 3x + 2 6. 2x + y - 1 7. 3x + 2y 6 , x + 2y 2 8. Solve the following system by Gaussian elimination