twinsmom8273 twinsmom8273
  • 20-09-2019
  • Mathematics
contestada

find the unpaid balance on the debt after 5 years of monthly payments on $190,000 at 3% for 25 years

Respuesta :

frika
frika frika
  • 26-09-2019

Answer:

$114,000

Step-by-step explanation:

Use formula

[tex]I=P\cdot r\cdot t,[/tex]

where

I = interst

P = principal

r = rate

t = time

First, find the interst for 25 years:

I = unknown

P = $190,000

r = 0.03 (3% as decimal)

t = 25

[tex]I_{25}=190,000\cdot 0.03\cdot 25=142,500[/tex]

Now find the interest for 5 years:

I = unknown

P = $190,000

r = 0.03 (3% as decimal)

t = 5

[tex]I_5=190,000\cdot 0.03\cdot 5=28,500[/tex]

The unpaid balance is

[tex]I=I_{25}-I_5=142,500-28,500=114,000[/tex]

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