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  • 03-03-2020
  • Mathematics
contestada

$600 principal earning 7%, compounded monthly, after 19 years

Respuesta :

marcthemathtutor
marcthemathtutor marcthemathtutor
  • 03-03-2020

Answer:

$2,259.71

Step-by-step explanation:

(refer to attached)

the formula for compound interest is:

A = P [ 1 + (r/n) ] ^ (nt)

Where,

A = final amount

P = principal amount (given as $600)

r = interest rate = 7% = 0.07

n = 12 (because compounded monthly)

t = time elapsed (given as 19 years)

Substituting these into our equation,

A = P [ 1 + (r/n) ] ^ (nt)

A = 600 [ 1 + (0.07/12) ] ^ [(12)(19)]

A = 600 [ 1 + 0.005833 ] ^ 228

A = 600 [ 1.005833 ] ^ 228

A = 600 [ 3.7662 ]

A = $2,259.71

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