Question

Math true or false

Septima investing money into two different accounts at the same time. the system of inequalities represent the balance of each account where x represents the number of years the money has been invested.
Math! Please help! Please explain your answers.

Answer 1

Answer:

1. False
2. False
3. True

Step-by-step explanation:

Since the given expression represents the account balance, the initial amount (when x=0) is $500 in Account A, and $100 in Account B. (Less money was invested in account B.)

The growth rate of each account is $1.03 per year.* (The growth rate ($/year) is identical for each account.)

The total of the initial amounts invested is $500 +100 = $600.

_____

* Comment on growth rate

Since the account balance is shown as greater than or equal to the given expression, there appears to be the possibility that adjustments are made to the account balance by some means other than the growth predicted by this inequality. For example, if the balance in Account A is $900 at the end of 1 year, the inequality will still be true, but the extra $398.97 will be in addition to the $1.03 growth predicted by this expression.

This means we really cannot say what the growth rates of the accounts might be, except that it is a minimum of $1.03 per year in each account.

_____

Comment on the expressions

More usually, we would expect to see an account balance have the equation a = 400·1.03^x. That is, the interest rate would be 3% and it would be compounded annually. The expression 400 + 1.03x is very unusual in this situation.