Credit cards are the card which is given by banks to the customers for withdrawing some amount beyond the account balance. The card I's is increased by $1579.3 than card H.
<h3 /><h3>What is a credit card?</h3>
A credit card refers to a payment mechanism that helps both consumer and commercial business proceedings, including purchases and cash advances.
Computation of credit card's balance:
<u>Amount of </u><u>Card H </u><u>after 3 years:</u>
Given,
Principal(P) = $1,186.44
Interest Rate(r) = 14.74%
Number of time period(n) = 3 years.
Applying the above values in the formula given in the question:
![\text{A} = \text{P}(1+ \dfrac{r}{n} )^n^t\\\\\\\text{A} =\$1,186.44(1+ \dfrac{14.74\%}{3} )^3\\\\\\\text{A}= \$1792.2](https://tex.z-dn.net/?f=%5Ctext%7BA%7D%20%3D%20%5Ctext%7BP%7D%281%2B%20%5Cdfrac%7Br%7D%7Bn%7D%20%29%5En%5Et%5C%5C%5C%5C%5C%5C%5Ctext%7BA%7D%20%3D%5C%241%2C186.44%281%2B%20%5Cdfrac%7B14.74%5C%25%7D%7B3%7D%20%29%5E3%5C%5C%5C%5C%5C%5C%5Ctext%7BA%7D%3D%20%5C%241792.2)
<u>Amount of</u><u> Card I </u><u>after 3 years:</u>
Principal(P) = $1,522
Interest Rate(r) = 12.05%
A number of the time periods (n):
![12\text{Months}\times3\text{Years} = 36 \text{Months}](https://tex.z-dn.net/?f=12%5Ctext%7BMonths%7D%5Ctimes3%5Ctext%7BYears%7D%20%3D%2036%20%5Ctext%7BMonths%7D)
Again, apply the above values in the formula given in the question:
![\text{A} = \text{P}(1+ \dfrac{r}{n} )^n^t\\\\\\\text{A} =\$1,522.16(1+ \dfrac{12.05\%}{12} )^3^6\\\\\\\text{A}= \$3,371.58](https://tex.z-dn.net/?f=%5Ctext%7BA%7D%20%3D%20%5Ctext%7BP%7D%281%2B%20%5Cdfrac%7Br%7D%7Bn%7D%20%29%5En%5Et%5C%5C%5C%5C%5C%5C%5Ctext%7BA%7D%20%3D%5C%241%2C522.16%281%2B%20%5Cdfrac%7B12.05%5C%25%7D%7B12%7D%20%29%5E3%5E6%5C%5C%5C%5C%5C%5C%5Ctext%7BA%7D%3D%20%5C%243%2C371.58)
Now we take the difference between both the credit cards, we have:
![\text{Amount of Credit Card I}-\text{Amount of Credit Card H}\\\\=\43,371.58-\$1,792.2\\\\=\$1,579.38](https://tex.z-dn.net/?f=%5Ctext%7BAmount%20of%20Credit%20Card%20I%7D-%5Ctext%7BAmount%20of%20Credit%20Card%20H%7D%5C%5C%5C%5C%3D%5C43%2C371.58-%5C%241%2C792.2%5C%5C%5C%5C%3D%5C%241%2C579.38)
Therefore, card H's balance is decreased by $1579.3 than a card I.
Learn more about credit cards, refer to:
brainly.com/question/14716152