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FromTheMoon [43]
3 years ago
7

Can someone please answer number 5?

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
7 0

Answer:

x=13

Step-by-step explanation:

since they are vertical angles, they equal each other so set both angles to have them equal each other to find x

8x - 12 = 6x + 14

Add 12 on both sides

8x = 6x  + 26

Subtract tax from both sides

2x = 26

Divide by 2 for both sides

x = 13

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Archy [21]

Answer:

The population will be 896 turtles 6 years later ⇒ B

Step-by-step explanation:

The exponential increasing formula is y = a(1+r)^{x}, where

  • y is the new value
  • a is the initial value
  • r is the rate of increase in decimal
  • x is the time in years

∵ There are 300 turtles

∴ a = 300

∵ The population of the turtles exponentially increases 20% each year

∴ r = 20%

→ Divide it by 100 to change it to decimal

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∴ r = 0.2

∵ The time is 6 years

∴ x = 6

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∴ y = 300(1.2)^{6}

∴ y = 895.7952

→ Round it to the nearest whole number

∴ y = 896

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