Respuesta :

Answer:

p(0) = 800

p(8) = 997

Step-by-step explanation:

p(t) = 800 * (1.028)^t

The current price is when t=0

p(0) = 800 * (1.028)^0

       = 800(1)

       = 800

The price in 8 years

p(8) = 800 * (1.028)^8

       =997.7802522414861936754688

To the nearest dollar

        = 998

Answer:

[tex]p(0)=\$\ 800[/tex]

[tex]p(8)=\$\ 998[/tex]

Step-by-step explanation:

The function that the mode in the price is a function of exponential growth

[tex]p(t)=800(1.028)^t[/tex]

If t represents time in years, then to find the current price we do [tex]t = 0[/tex]

Then:

[tex]p(t=0)=800(1.028)^0[/tex]

[tex]p(0)=800(1)[/tex]

[tex]p(0)=\$\ 800[/tex]

To find the price after 8 years substitute t = 8 in the equation

[tex]p(t=8)=800(1.028)^8[/tex]

[tex]p(8)=\$\ 998[/tex]

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