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Blababa [14]
2 years ago
10

The dollar value v (t) of a certain car model that is t years old is given by the following exponential function.

Mathematics
1 answer:
galina1969 [7]2 years ago
6 0

Answer:

$ 3820

Step-by-step explanation:

When the car is new, it is 0 year old. It means, t = 0

Initial value = 26,000 (0.84)^0 = 26,000(1)

Initial value = $ 26000

Similarly, when car is 11 year old, t = 11

=> 26000(0.84)¹¹ = 26000(0.14691)

≈ $ 3819.842

≈ $ 3820 (round to near ten)

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3 years ago
a zoo charges an admission price of $85 for the first 12 members of a group and $6 for each additional member of the group. What
elena-14-01-66 [18.8K]

The largest group that can go to the zoo is 23 members

Step-by-step explanation:

The given is:

  • A zoo charges an admission price of $85 for the first 12 members of a group and $6 for each additional member of the group
  • We need to find the largest group that can go to the zoo and spend less than $155 on admission

Assume that the number of members in the group is x

∵ There are x members in the group

∵ The zoo charges an admission price of $85 for the first 12

   members of a group and $6 for each additional member

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- Take 12 members from x and multiply the rest members by

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∴ The group will spend = 6(x - 12) + 85

∵ The group wants to spend less than 155 to go to the zoo

- use the symbol < between the expression above and 155

∴ 6(x - 12) + 85 < 155

- Simplify the left hand side

∴ 6x - 72 + 85 < 155

- Add like terms in the left hand side

∴ 6x + 13 < 155

- Subtract 13 from both sides

∴ 6x < 142

- Divide both sides by 6

∴ x < 23.67

- Take the largest integer less than 23.67

∵ 23 is the largest integer less than 23.67

∴ The group has 23 members

The largest group that can go to the zoo is 23 members

Learn more:

You can learn more about the inequalities in brainly.com/question/1465430

#LearnwithBrainly

6 0
3 years ago
Pls help me with this problem ​
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Combine like terms

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An archaeologist descends 20 feet into a canyon, then climbs up 12 feet. Which value represents her final position?
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