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A laptop computer is purchased for $2100. Each year, its value is 75% of its value the year before. After how many years will the laptop computer be worth$300 or less?

Respuesta :

SOLUTION:

After the first year, the price of the laptop computer is;

[tex]P_1=0.75\times2100=1575[/tex]

After the second year, the price of the laptop computer is;

[tex]P_2=0.75\times1575=1181.25[/tex]

After the third year, the price of the laptop computer is;

[tex]P_3=0.75\times1181.25=885.94[/tex]

After the fourth year, the price of the laptop computer is;

[tex]P_4=0.75\times885.94=664.45[/tex]

After the fifth year, the price of the laptop computer is;

[tex]P_5=0.75\times664.45=498.34[/tex]

After the sixth year, the price of the laptop computer is;

[tex]P_6=0.75\times498.34=373.75[/tex]

After the seventh year, the price of the laptop computer is;

[tex]P_7=0.75\times373.75=280.32[/tex]

CORRECT ANSWER: 7 years

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