Answer: He invest $2500 in account with rate of interest 5% and invest $3500 in account with 6% of interest so that the total interest earned is $335.
Step-by-step explanation:
Given: The rate of interest for account 1= 5%=0.05
The rate of interest for account 2= 6%=0.06
Let P be the Principal amount Keisha invested in the account with 5% interest .
Then the amount she will invest in account with 6% interest= 6000-P
Time = 1 year
The simple interest is given by:-
[tex]S.I.=Prt[/tex]
Simple interest for account 1=[tex]P(0.05)(1)=0.05P[/tex]
Simple interest for account 2=[tex](6000-P)(0.06)(1)=360-0.06P[/tex]
According to the question,
Total Interest =$335
[tex]\Rightarrow0.05P+360-0.06P=335\\\Rightarrow\ -0.01P=335-360\\\Rightarrow\ -0.01P=-25\\\Righgtarrow\ P=2500[/tex]
So, he invest in account with 5% interest= $2500
He invest in account with 6 % interest=$6000-$2500=$3500
