Malliki Williams earned a $48,000 from royalties on her cookbook.She paid a 28% income tax on these royalties. The balance wasinvested in two ways, some of it at 3.25% interest and some at1.75%. The investments produced $904.80 interest per year. Find theamount invested at each rate.Please explain in detail

Answer:$20000 and $14560Step-by-step explanation:First, we need to get the total tax paid by Malliki WilliamsTo get that, we have to multiply her income tax (28%) by total royalties ($48000)28% of $48000 = $13440Balance after tax = $48000 - $13440Balance = $34560She invested some of the balance ($34560) at the rate of 3.25% ---- First investment 1.75% --- Second investmentAssume her first investment is x dollarsDefinitely, her second investment would be $34560 - x3.25% of x + 1.75% (34560 - x ) = 904.80.0325x + 0.0175(34560-x) = 904.8 ----- Open the bracket0.0325x + 604.8x - 0.0175x = 904.8 ------ Collect like terms0.0325x -0.0175x =904.8 - 604.80.015x = 300 ------ Divide both sides by 0.015x = 300/0.015x = 20000Remember that x represents her first investmentHer second investment is $34560 - $20000 =$14560