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Suppose that you plan on taking a summer job selling magazine subscriptions. The magazine company will pay you $1.25 for selling the first subscription. For each
additional subscription sold, the magazine company will pay you 5 cents more than what was paid for the previous subscription. How much will you earn by selling
150 magazine subscriptions?

PLEASE HELP

Respuesta :

  • here a=1.25
  • d=0.05

[tex]\\ \bull\tt\dashrightarrow a_{150}=a+149d[/tex]

[tex]\\ \bull\tt\dashrightarrow 1.25+149(0.05)[/tex]

[tex]\\ \bull\tt\dashrightarrow 1.25+7.45[/tex]

[tex]\\ \bull\tt\dashrightarrow 8.70[/tex]

  • l=8.70

[tex]\\ \bull\tt\dashrightarrow S_n=\dfrac{n}{2}[a+\ell][/tex]

[tex]\\ \bull\tt\dashrightarrow S_{150}=\dfrac{150}{2}[1.25+8.70][/tex]

[tex]\\ \bull\tt\dashrightarrow S_{150}=75(9.95)[/tex]

[tex]\\ \bull\tt\dashrightarrow S_{150}=745.46[/tex]

You will receive $746.46.

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