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Find the multiplier ""b"" value for each rate of exponential growth or decay

a. 7% growth
b. 16% decay
c. 5.5% decay
d. 9.2% growth

User LeAthlon
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1 Answer

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Final answer:

The multiplier 'b' values for the given rates of exponential growth or decay are calculated using the formula b = 1 + p, resulting in multipliers of 1.07 for 7% growth, 0.84 for 16% decay, 0.945 for 5.5% decay, and 1.092 for 9.2% growth.

Step-by-step explanation:

To find the multiplier "b" values for each rate of exponential growth or decay, we use the formula b = 1 + p, where p is the rate expressed as a decimal. For example:

  • For a 7% growth rate, the multiplier b would be b = 1 + 0.07 = 1.07.
  • For a 16% decay rate, the multiplier b would be b = 1 - 0.16 = 0.84.
  • For a 5.5% decay rate, the multiplier b would be b = 1 - 0.055 = 0.945.
  • For a 9.2% growth rate, the multiplier b would be b = 1 + 0.092 = 1.092.

These calculations allow us to determine how a quantity grows or decays over time, using the respective multiplier value calculated from the growth or decay rate.

User Koalabruder
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