Dericktopsom Dericktopsom
  • 15-01-2019
  • Mathematics
contestada

Not sure how to figure this out

Not sure how to figure this out class=

Respuesta :

Professor1994 Professor1994
  • 15-01-2019

Answer:

Option D. $5,840.62

Step-by-step explanation:

Investment: I=$900,000

Period annuity: A

4.8% APR compounded monthly:

APR=4.8%=4.8/100→APR=0.048

Period of 20 years

A=r*I/[1-(1+r)^(-n)]

Rate per period (month): r=APR/12=0.048/12→r=0.004

Number of periods (months): n=12(20)→n=240

Replacing the known values in the formula:

A=0.004*$900,000/[1-(1+0.004)^(-240)]

A=$3,600/[1-(1.004)^(-240)]

A=$3,600/[1-0.383626788]

A=$3,600/[0.616373212]

A=$5,840.617226

A=$5,840.62

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