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Wittaler [7]
2 years ago
8

PLEASE SHOW FULL SOLUTIONS!!! WILL MARK BRAINLIEST FOR BEST ANSWER!!

Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
5 0

Answer:

  • The first option: $265.05

Step-by-step explanation:

<h3>Option 1</h3>

<u>Payment as sequence:</u>

  • 11.75, 12.10, 12.45, ...

<u>This is an AP with:</u>

  • The first term a = 11.75
  • Common difference d = 0.35
  • Number of terms n = 18

<u>Find the sum of the first 18 terms:</u>

  • S₁₈ = (a + a₁₈)*18/2 = (a + a + 17d)*9 = (11.75*2 + 17*0.35)*9  = $265.05
<h3>Option 2</h3>

Flat rate $14.50 per hour

<u>The sum is:</u>

  • $14.50*18 = $261.00

<u>Compared, we see the first option pays more:</u>

  • $265.05 > $261.00
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