Question

If $4000 is borrowed at a rate of 16% interest

Answer 1

Answer:

(a) $7492

(b) $10,253

(c) $14,032

Step-by-step explanation:

As we know, the final Amount can be calculated with the formula for compound interest,

A = P(1 + \frac{r}{n} )^{nt}

where,

A = Final Amount due

P = Initial principal amount borrowed

r = rate of interest in decimal

n = number of times applied per time period

t = total time period

Now, according to the given data,

(a) in 4 years ;-

⇒ $A = 4000(1 + \frac{0.16}{4} )^{4(4)}$

⇒ $A = 7492$

(b) in 6 years ;-

⇒ $A = 4000(1 + \frac{0.16}{4} )^{4(6)}$

⇒ $A = 10,253$

(c) in 8 years ;-

⇒ $A = 4000(1 + \frac{0.16}{4} )^{4(8)}$

⇒ $A = 14,032$