Question

(6 pts) Michelle borrows a total of $5000 in student loans from two lenders. Bank A charges 4.6% simple interest and Bank B charges 6.2 % simple interest. She must pay off the entire balance at the end of 3 years. At that time, Michelle will owe $762 total interest on both loans. How much money did Michelle borrow from each bank? Identify the unknowns. Write and solve a system of linear equations using the simple interest formula, I Prt. Express your answer in a complete sentence. Find the domain of f(x) = Inx-2) X 2* . Label asymptotes and intercepts. Sketch the graph of g(x)

Answer 1

Let Michelle borru $ f ben A fro auk theu totalloan o Interest on h irst an PYt 13.&X 그 Xx 4.6x그 Iuterest n te Second an Prt 8.6y 2닝x6,2- To tu interest $762 .. 13.8X + 18.6보 - 761 3.8+ 1&6 76200 13.8n 1&6 (50- (tyenD 76200 3.8 9Joun-186M7620D 13. 8n - 18.6 &200-93 4.8M -16800 4.& : She bomoweal 3Sao fo ank A and 수 1Soo from bauuk B.

The siven fnctisn i ln (u-y fiul ハ-2>0 t is depihed when domain is (2,oc AS U K, Hu) gin)-2 AS n b ynter cept (0,1) AS N- a horizontal asymptote X