You invested a total of $9,000 at 4 1/2 % and 5% simple interest. during one year, the two accounts earned $435. how much did you invest in each account

The amount invested at 4.5% was

The amount invested at 5% was

Step-by-step explanation:

we know that

The simple interest formula is equal to

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

Let

x -----> the amount invested at 4.5%

9,000-x -----> the amount invested at 5%

in this problem we have

substitute

so

therefore

The amount invested at 4.5% was

The amount invested at 5% was