Larry accumulated $3,000 in credit card debt. If the interest rate is 10% per year and he does not make any payments for 2 years, how much will he owe on this debt in 2 years for quarterly compounding? Round your answer to two decimal places.

Respuesta :

Answer:

The amount will be "$3655.21".

Step-by-step explanation:

The given values are:

Principle,

P = $3000

Interest rate,

r = 10% i.e., 0.1

Number of times interest,

n = 4

Time,

t = 2 years

As we know,

⇒ [tex]A=P[1+\frac{r}{n} ]^{tn}[/tex]

On putting the values in the above formula, we get

⇒    [tex]=3000[1+\frac{0.1}{4} ]^{2\times 4}[/tex]

⇒    [tex]=3000[1+0.025]^8[/tex]

⇒    [tex]=3000\times 1.2184[/tex]

⇒    [tex]=3655.21[/tex] ($)