Brad plans to invest a total of $6000, part of it in an account at 2% annual interest and the rest in an account at 8% annual interest. how much should he invest in each account so that the total interest in one year will be $192?

In an account at 2% invest

In an account at 8% invest

Step-by-step explanation:

we know that

The simple interest formula is equal to

where

A is the Final Investment 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  two cases

First case

Second case

substitute both cases in the formula above

solve for x

so

In an account at 2% invest

In an account at 8% invest

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right