Respuesta :
it would be 618 dollars after one year because you have to find the ratio for how much money per month she has to pay so her debt would be paid after 18 months.
You would do: 1,854 divided by 18 which equals 103
Then, multiply by 12 much would be 1,236
Then, subtract 1,854 and 1,236 which will equal 618
Thus your answer is 618 dollars
You would do: 1,854 divided by 18 which equals 103
Then, multiply by 12 much would be 1,236
Then, subtract 1,854 and 1,236 which will equal 618
Thus your answer is 618 dollars
$618
Further explanation
Given:
- Hayley borrowed $1,854.
- She agreed to repay them in equal installments over the next 18 months.
Question:
How much does Hayley still owe her parents after year?
The Process:
Step-1
Let us precisely calculate the number of Hayley's installments every month.
[tex]\boxed{ \ 18 \ months = \$ 1,854 \ }[/tex]
[tex]\boxed{ \ 1 \ months = \$ \ ? \ }[/tex]
We divide 1,854 by 18 in the following way:
[tex]\boxed{ \ 1,854 \div 18 = \ ? \ }[/tex]
[tex]\boxed{ \ 1,854 \div 18 = (1,800 + 54) \div 18 \ }[/tex]
[tex]\boxed{ \ 1,854 \div 18 = (1,800 \div 18) + (54 \div 18) \ }[/tex]
[tex]\boxed{ \ 1,854 \div 18 = 100 + 3 \ }[/tex]
[tex]\boxed{ \ 1,854 \div 18 = 103 \ }[/tex]
Therefore, the monthly installments are $103.
Step-2
After one year, the remaining time to pay off debt is 18 - 12 = 6 months.
Let's count how much does Hayley still owe her parents after a year.
[tex]\boxed{ \ 1 \ months = \$103 \ }[/tex]
[tex]\boxed{ \ 16 \ months = \$ \ ? \ }[/tex]
[tex]\boxed{ \ 103 \times 6 = \$ \ ? \ }[/tex]
[tex]\boxed{ \ 103 \times 6 = (100 + 3) \times 6 \ }[/tex]
[tex]\boxed{ \ 103 \times 6 = (100 \times 6) + (3 \times 6) \ }[/tex]
[tex]\boxed{ \ 103 \times 6 = 600 + 18 \ }[/tex]
[tex]\boxed{\boxed{ \ 618 \ }}[/tex]
Thus, Hayley still owe $618 to her parents after a year.
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Keywords: Hayley borrowed, $1,854, she agreed, to repay them, in equal installments, over, the next 18 months, how much, still owe, her parents, after year, 12, 6, $103, $618