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The balance in Hugh's account after writing six checks, making one deposit and being charge with a service fee by the bank equals an amount of $ 116.
<h3>How to determine the balance of a bank account</h3>
Here in this question we should understand the situation like a game with the following rules for the account balance:
- A check from the account means a <em>subtraction</em> of money.
- A deposit means an <em>addition</em> of money.
- Service fee means also a <em>subtraction</em> of money.
After a careful reading, we apply the rules described above and have the following calculation:
x = $ 200 - $ 20 - $ 20 - $ 12 - $ 20 - $ 12 - $ 42 + $ 57 - $ 15
x = $ 116
The balance in Hugh's account after writing six checks, making one deposit and being charge with a service fee by the bank equals an amount of $ 116.
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Answer:
Step-by-step explanation:
we are two conditions
- committees can be formed from 12 teachers and 43 students
- the committee consists of 3 teachers and 4 students
In choosing a committee, order doesn't matter; in case of teachers we need the number of combinations of 3 people chosen from 12
remember that,
with the condition we obtain that,
therefore substitute:
simplify Parentheses:
rewrite:
reduce fraction:
rewrite 12 and 10:
reduce fraction:
simplify multiplication:
In case of students we need the number of combinations of 4 students choosen from 43 therefore,
simplify which yields:
hence,
The committee of 7 members can be selected in BLANK different ways is
and we're done!