You invested $ 7000 between two accounts paying 3 % and 5 % annual? interest, respectively. if the total interest earned for the year was $ 290 comma how much was invested at each? rate?

In the first account was invested  at 3%

In the second account was invested  at 5%

Step-by-step explanation:

we know that

The simple interest formula is equal to

where

I is the Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

First account

substitute in the formula above

Second account

substitute in the formula above

Remember that

The interest is equal to

so

Adds the interest of both accounts

therefore

In the first account was invested  at 3%

In the second account was invested  at 5%