Respuesta :
727.29 - 248.50 = 478.79
500-478.79 = 21.21
$21.21 is the least amount of money he needs to deposit
Answer:
She needs to deposit at least $21.21 in her account to avoid a fee.
Step-by-step explanation:
Consider the provided information.
Tony has $727.29 in his checking account and he wrote a check for $248.50 today.
Let x be the amount that she needs to deposit.
He must maintain a $500 balance to avoid a fee. That means the balance can be greater than or equal to $500.
The inequality used for greater than or equal is ≥
As he wrote a check which indicates the deduction from account so use a negative sign and to deposit use a positive sign,
Thus the required inequality is:
[tex]727.29-248.50+x\geq 500[/tex]
Now add the like terms:
[tex]727.29-248.50+x\geq 500[/tex]
[tex]478.79+x\geq 500[/tex]
Subtract 478.79 from both sides.
[tex]478.79-478.79+x\geq 500-478.79[/tex]
[tex]x\geq 21.21[/tex]
Hence, she needs to deposit at least $21.21 in her account to avoid a fee.