rahijajoseph2832 rahijajoseph2832
  • 25-04-2020
  • Mathematics
contestada

The cost of tuition at a college is $12,000 and is increasing at the rate of 6% each year. Use exponential function to find the tuition cost after 4 years.

Respuesta :

DevonFen DevonFen
  • 28-04-2020

Answer:

The cost of tuition fee after 4 years is $15,149.72.

Step-by-step explanation:

Exponential function:

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

A= the amount after n years

P= Initial amount

r= rate of increasing

n= time in years

The cost of tuition at a college is $12,000. It is increasing at the rate of 6% each year.

Here, P= $12,000, r= 6%= 0.06, n= 4 years.

[tex]\therefore A=12,000(1+0.06)^4[/tex]

[tex]\Rightarrow A= 12000(1.06)^4[/tex]

        =$15,149.72

The cost of tuition fee after 4 years is $15,149.72.

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