Credit card A has an APR of 22.2% and an annual fee of $50, while credit card
B has an APR of 23.9% and no annual fee. All else being equal, at about what
balance will the cards offer the same deal over the course of a year?
O A. $2385.75
B. $238.58
O C. $23,857.48
O D. $23.86

Respuesta :

Answer:

$2,385.75

Step-by-step explanation:

The  computation of the balance left that offer the same deal is shown below:

Let us assume the required balance be P

Now the equation for the credit card A is

[tex]P (1 + \frac{0.222}{12}^{12}) + \$50[/tex]

And, the equation for the credit card B is

[tex]P (1 + \frac{0.239}{12})^{12}[/tex]

Now equate these two equations which are as follows

[tex]P (1 + \frac{0.222}{12})^{12} + \$50 = P (1 + \frac{0.239}{12})^{12}[/tex]

1.246041193 P + $50 = 1.266998979 P

After solving this, the P value is $2,385.75

Answer:

A. $2,385.75

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