Answer:
<em>It will take me </em>= <em>30.99 years</em> to pay-off the borrowed amount paying $60.00 every month
Explanation:
SOLUTION:
Using the Formula: A = P(1+r/n)![{nt}](https://tex.z-dn.net/?f=%7Bnt%7D)
Where:
A= $60.00;
P = $3,200.00;
r = 12.9%;
n = 12
t =?
Substituting the values into the Formula =
$60 = $3,200(1 + 12.9%/12)![{12t}](https://tex.z-dn.net/?f=%7B12t%7D)
= $60 = $3,200(1 + 12.9%/12)![{12t}](https://tex.z-dn.net/?f=%7B12t%7D)
= $60.00 = $3,200.00 (1 + 0.129/12)![{12t}](https://tex.z-dn.net/?f=%7B12t%7D)
= $60.00 = $3,200.00 (1 + 0.01075 )![{12t}](https://tex.z-dn.net/?f=%7B12t%7D)
= $60.00 = $3,200.00 (1.01075 )![{12t}](https://tex.z-dn.net/?f=%7B12t%7D)
= $60.00/$3,200.00 = $3,200.00 (1.01075 )
/$3200.00
= 0.01875 = (1.01075)![12t](https://tex.z-dn.net/?f=12t)
= Using the law of logarithm
= log
= Nlog A
=12tlog(1.01075) = log0.01875
= 12log(1.01075)/(1.01075) = log0.01875/log(1.01075)
= 12t = log(0.01875)/log1.01075
= 12t = 1.7270/0.04644
Divide 12 by both sides
=12t/12 = 371.88774/12
t= 30.9898
<em>∴ 30.99 years</em>
<em>It will take me </em>= 30.99 years to pay-off the borrowed amount paying $60.00 every month