Respuesta :
From the information given, she owes her parents a total of $1854.
She will take a period of 18 months to repay the whole loan.
We first find out the how much is each installment per month.
We divide the whole amount by 18 months so 1854/18 = $103
If she pays 103 dollars per month, then at one year (12 months) she would have paid: 103 × 12 = 1,236 dollars.
She would owe 1854 - 1236 = 618
There she would still be owing her parents $ 618 after one year.
Hayley will still owe her parents [tex]\boxed{\bold{\$618}}[/tex]after a year
Further explanation
The division operation is one of the basic arithmetic operations
Common signs used are [tex]\large{\boxed{:}}}[/tex] or [tex]\large{\boxed{\slash}}[/tex]
The division is written by placing the numerator above the denominator with a horizontal line between them or use a slash with the numerator's position and the denominator is parallel
The division is actually an iterative subtraction operation (as many as the number of divisors)
Division is the opposite of multiplying
The general form of division can be stated by:
[tex]\large{\boxed{\bold{divident:divisor=quotient+remainder}}[/tex]
example:
7: 3 = 2 + 1
7 = dividend
3 = divisor
2 = quotient
1 = remainder
Division operation statement:
"7 divided by 3 equals 2 remainder 1"
The form of division can also be expressed in terms of fractions
In the example above, the form of mixed fractions is
[tex]\displaystyle \frac{7}{3} =2\frac{1}{3}[/tex]
Mixed fractions consist of whole number and proper fractions
From the task
- Hayley borrowed $1854
- She repay them in equal installments over the next 18 months.
we translate this sentence into division operation :
[tex]\$1854\div18=\$103/\:each\:month[/tex]
So for each month , Hayley will pay $103
After 1 year Hayley has paid in installments as much :
[tex]12\:month(=1\:year)\times\$103=\$1236[/tex]
so Hayley still owes her parents :
[tex]\$1854-\$1236=\boxed{\bold{\$618}}[/tex]
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Keywords: division, equal installments, borrowed, owe
