The number of payments that I would make before the account balance reaches $20,031 is 31 months 15 days
N is the number of monthly payments that would be made before the account balance reaches $20,031.
This formula would be used to determine the value of N
FV = P ( 1 + r)^nm
- FV = future value = $20,031
- P = monthly payments = $465
- r = interest rate = 12%/12 = 1%
- n = number of years
- m = number of compounding = 12
$20,031 = $465 x (1.01)^12n
$20,031 / $465 = (1.01)^12n
43.077419 = (1.01)^12n
Log 43.077419 = Log (1.01)^12n
log 43.077419 / log (1.01) = 12n
1.6342497 / 0.0043214 = 12n
378.17598 = 12n
n = 378.17598 / 12
n = 31.51 months or 31 months 15 days
A similar question was solved here: brainly.com/question/15399735?referrer=searchResults
