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MaRussiya [10]
3 years ago
13

An amusement park offers an entrance fee discount of 20% to children under 6 years of age and seniors 65 or older. What is the r

ange of ages that receive the 20% discount fee at the park? Use the appropriate interval notation for either a solution set for a conjunction or a disjunction.
Mathematics
1 answer:
Temka [501]3 years ago
5 0

Answer:

  [0, 6) ∪ [65, ∞)

Step-by-step explanation:

Ages under 6 will be in the interval [0, 5], or in the interval [0, 6), as you may wish.

Ages 65 or older will be in the interval [65, ∞).

The union of these two intervals is ...

  [0, 6) ∪ [65, ∞)

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An actor invested some money at 5% simple interest, and $41,000 more than 4 times the amount at 9%. The total annual interest ea
NARA [144]

Answer:

  • The amount invested at 5%=$77,000
  • The amount invested at 9%=$349,000

Step-by-step explanation:

  • Let the amount invested at 5% simple interest =$x

He invested $41,000 more than 4 times the amount at 9%.

  • This amount is: $(4x+41000)

Total Annual Interest Earned = $35,260

Therefore, Time=1 year

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Therefore, his total interest

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35260=\left(\frac{x*5*1}{100} \right)+\left(\frac{4x+41000*9*1}{100} \right)\\35260=0.05x+(0.36x+3690)\\35260-3690=0.05x+0.36x\\31570=0.41x\\\text{Divide both sides by 0.41}\\x=\$77000

Therefore:

The amount invested at 5%=$77,000

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6 0
3 years ago
Find the Length of ST
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