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:
y= (3/2)x - (5/2)
Step-by-step explanation:
Slope-intercept form is y=mx+b. So, 3x-2y=5 can be rearranged to slope-intercept form.
We need to isolate the y and get it by itself, so let's subtract the 3x from both sides.
-> -2y = 5 - 3x
Now we need to get rid of the -2 so that the y will be completely alone. So, divide the -2 from both sides of the equation.
-> y = (5/-2) (-3x/-2)
Now rearrange, and the negatives from the 3x and 2 cancel each other out and we are left with:
-> y = 3/2 x - 5/2
First you'd find angle C as it is opposite the side AB that you want to find
But to find angle c you first have to find angle A using the soh
Then you'd do 180 - (90 + angle A) =angle C as angles in a triangle add up to 180
Then you'd use the soh using angle A and 12 to find side AB
Working out
Sin(x)=12/7
Sin-1(7/12)
=35.685
180- (90+35.685)
=54.315
Sin(54.315)=o/12
Sin(54.315)*12
=9.746794345
Compatible numbers are those numbers which are close in value to the actual numbers, and they make it easy to perform mental arithmetic.
So here the dividend is 2596 and divisor is 6. So compatible number should be such that can be mentally divided by 6.
So the compatible numbers are = 2400 and 3000
So when we divide 2400 by 6 we have =
2400/6 = 400
And when we divide 3000 by 6, we have =
3000/6 = 500
