Please help!

A trust account manager has $500,000 to invest in three different accounts. The accounts pay 8%, 10%, and 16%, and the goal is to earn $49,000. To solve this problem, assume that x dollars are invested at 8%, y dollars are invested at 10%, and z dollars are invested at 16%. Then x, y, and z must satisfy the equations x + y + z= 500,000 and 0.08x + 0.10y + 0.16z = 49,000. a. Explain the meaning of each of these equations. b. Solve the system containing these two equations. Find x and y in terms of z. c. What limits must there be on z so that all investment values are nonnegative? a. Choose the correct answer below. O A. Sum of investments is $500,000; sum of interest earned is $49,000 O B. Sum of investments is $49,000; sum of interest earned is $500,000 O C. Sum of investments is $500,000; sum of losses is $49,000 O D. Sum of investments is $49,000; sum of losses is $500,000 b. x= (Type an expression using z as the variable.) y=(Type an expression using z as the variable.) c. Choose the correct answer below. O A. OSzs 500,000 O B. OSzs 49,000 O C. OSzs 112,500 O D. OSzs 450,000