SOLUTION: Ms. Jamison plans to invest $3,800 in two accounts for one year. The first account earns a yearly interest of 3.5%. The second account earns a yearly interest of 6%. How much money

Algebra ->  Graphs -> SOLUTION: Ms. Jamison plans to invest $3,800 in two accounts for one year. The first account earns a yearly interest of 3.5%. The second account earns a yearly interest of 6%. How much money      Log On


   



Question 1064744: Ms. Jamison plans to invest $3,800 in two accounts for one year. The first account earns a yearly interest of 3.5%. The second account earns a yearly interest of 6%. How much money does Ms. Jamison need to invest in the second account in order to earn $188 in interest from both accounts?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Ms. Jamison plans to invest $3,800 in two accounts for one year. The first account earns a yearly interest of 3.5%. The second account earns a yearly interest of 6%. How much money does Ms. Jamison need to invest in the second account in order to earn $188 in interest from both accounts?
--------
Quantity:: t + s = 3800 dollars
Interest:: 0.035t + 0.06s = 188 dollars
---------
35t + 35s = 35*3800
35t + 60s = 188000
----------------------------
Subtract and solve for "s"::
25s = 55000
----
s = $2200 (amt.invested at 6%)
t = 3800-2200 = $1600 (amt. invested at 3.5%)
-----------------
Cheers,
Stan H.
---------------