Answer:
$105.44.
Step-by-step explanation:
We are asked to find the the greatest amount of money that rounds to $105.40, rounded to the nearest dime.
We know that when the next digit to rounded digit is 0, 1, 2, 3, 4; then we keep the same digit.
When the next digit to rounded digit is 5 or more than 5; then we round up our answer by one digit.
We know that 1 dime equals $0.10.
Since our answer in rounded to nearest dime, so the hundredths digit will be less than 5.
Therefore, the greatest amount of money would be $105.44.