could you please solve them problems step by step

you can find the problems in the picture

Problem Sa: Algebraically show that A = pen r ifand only if In(A) versus T is linear. Find the slope. m. and the verticall intercept. d, in terms of p and R. 8b. Betty and Bob have an account that is growing approximately exponentially. The account value, A. versus the time. T. in years is given by the following table of partial in utsand out uts: 6200 7000 11 500 16 400 19 ooo Find the equation of the Least Squares Line ofln(A) versus T. Using part Sa algebraically predict A for T = 10. What is the approximate rate of return. R. and the principal. P? Your final numerical answers should be accurate to 3 places after the decimal point. Problem 9: Betty and Bob seek treasure and adventure at a dessert oasis. Each unit of (gold. jewels, coins) is Worth ($2 million, S3 million. $2 million) and Takes (l hour. 2hours, 2 hours) to find and Weighs (2 pounds, I pound, 2 pounds) and Occupies (2 units, I unit, I unit) of space. If they have at most 14 hours to seek. can carry at most 20 pounds, and have at most 16 units of space then find the number of units of gold. jewels. and coins that would maximize the value of the treasure. What is this maximum value? Use the Simplex Method as detailed in the appendix Linear Programming & the Simplex Method. Be sure to show all your tableau work.