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13 March, 11:14

Quiana took out a loan to pay for a new car initially she owed the lender 15,234.68. she has repaid 247.43 of the loan each month for the past 5 months what is the net change to the loan from Quiana's perspective over the past 5 months?

Write a rational number to express the initial loan amount as it relates to Quiana's bank account.

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  1. 13 March, 11:30
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    Given Information:

    Initial amount of loan = $15,234.68

    Monthly payment = $247.43

    Number of months = 5

    Required Information:

    Net change in loan = ?

    Answer:

    Net change in loan = $1,237.15 = $1,237 (3/20)

    Step-by-step explanation:

    Quiana owed her lender an amount of 15,234.68 initially, she repaid the lender each month with an amount of $247.43 for 5 months, so the total amount that she repaid is

    Total amount repaid = Monthly payment*Number of months

    Total amount repaid = $247.43 * 5

    Total amount repaid = $1,237.15

    The remaining owed amount is given by

    Balance = Initial amount of loan - Total amount repaid

    Balance = $15,234.68 - $1237.15

    Balance = $13,997.53

    So the net change to the loan from Quiana's perspective over the past 5 months is,

    Net change in loan = Initial amount of loan - Balance

    Net change in loan = $15,234.68 - $13,997.53

    Net change in loan = $1,237.15

    or

    Net change in loan = $1,237 (3/20)

    Therefore, the net change to the loan from Quiana's perspective over the past 5 months is $1,237.15
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