$6000 invested at an APR a 4.4% for 20 years what is the balance in the account after 20 years

The balance in the account after 20 years will be $11280.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

.

In this problem

We want to find T, when

The first step is find the earnings due to interest. So

Adding to the principal to find the balance

The balance in the account after 20 years will be $11280.

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.