Show complete solutions. Work to within 10^-4 unless indicated otherwise. Enclose all final answers in a box.

(25 pts). To accommodate more depositors, new investment products were made available to the small businesses and single entities. These investment products pay varying interest ranging from 3% to 10% per annum. Grabbing this opportunity to earn, a young professional has invested money in three accounts that pay 5%, 7%, and 8% in annual interest. She has three times as much invested at 8% as she does at 5%. If the total amount she had invested is PhP 80,000 and obtained interest for the year with an amount of Php 5,750, how much money does she have in each account? Formulate the system of equations generated by this investment problem. Solve using Inverse Matrix Method. (25 pts). To accommodate more depositors, new investment products were made available to the small businesses and single entities. These investment products pay varying interest ranging from 3% to 10% per annum. Grabbing this opportunity to earn, a young professional has invested money in three accounts that pay 5%, 7%, and 8% in annual interest. She has three times as much invested at 8% as she does at 5%. If the total amount she had invested is PhP 80,000 and obtained interest for the year with an amount of Php 5,750, how much money does she have in each account? Formulate the system of equations generated by this investment problem. Solve using Inverse Matrix Method