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The following table shows the expenses and payments for 2 months on a credit card account with an initial balance of $484. Assume that the

The following table shows the expenses and payments for 2 months on a credit card account with an initial balance of $484. Assume that the interest rate is 1% per month (12% APR) and that the interest for a given month is charged on the balance from the previous month.

This means the amount owed ininteresteach month is the output of a function,f(x)

, that uses the input of the previous month's balance,x

.

f(x)=0.01x

The new month'sbalanceis the output of a function,g(x,p,e,a)

, that use the following inputs:

  • x
  • , the previous month's balance
  • p
  • , the payment
  • e
  • , the expenses charged on credit for the month
  • a
  • , the amount owed in interest

g(x,p,e,a)=xp+e+a

Use the two functions to fill in the table below. For each question, round to the nearest penny and don't use commas or dollar signs.

Month Payment Expenses Interest Balance 0--

0 484

1 $51 $76 ? ?

2 $106 $134 ? ?

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