Suppose you can get a higher interest rate on your savings if you maintain a balance of at least $1000 in your savings account. The balance of your account is now $1058. You deposit $44.50 into your account. What is the greatest amount that you can withdraw and still get the higher interest rate?
Answer:
$102.5
Step-by-step explanation:
∵ The balance of the account = $ 1058,
After depositing $ 44.50 in the account,
Balance of the account = 1058 + 44.50 = $ 1102.5,
Let x be the amount ( in dollars ),
Which is withdrawn from the account,
So, the final balance of the account = (1102.5-x) dollars
∵ For getting higher interest rate,
Balance ≥ $ 1000,
⇒ 1102.5-x ≥ 1000
⇒ 1102.5 ≥ 1000 + x
⇒ 1102.5 - 1000 ≥ x
⇒ 102.5 ≥ x
Hence, the greatest amount that can withdraw would be $102.5