Use the following compound interest formula to complete the problem. 2007-11-01-00-00_files/i0120000.jpg Rodney owes $1,541.05 on his credit card. His card has an APR of 16.29%, compounded monthly. Assuming that he makes no payments and no purchases, how much will he owe after one year? a. $1,561.97 b. $1,811.70 c. $1,792.09 d. $1,541.05

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Answer:

your answer is B.

Step-by-step explanation:

took practice test

Answer:  

The correct answer is B. $1811.70

Step-by-step explanation:

The formula for the compound interest is given by :

[tex]\text{Compound Interest = }Principal\times (1+\frac{Rate}{100\times n})^{n\times time}[/tex]

Principal value = $1541.05

Rate = 16.29%

n = No. of times the interest is compounded in a year

⇒ n = 12

Time = 1 year

[tex]\implies\text{Compound Interest = }1541.05\times (1+\frac{16.29}{100\times 12})^{12\times 1}\\\\\implies\text{Compound Interest = }1541.05\times 1.17563\\\\\implies\bf\textbf{Compound Interest = }\$1811.70[/tex]

Hence, The correct answer is B. $1811.70