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Math worksheet titled "Practice B: Exponential Growth and Decay" with seven problems for students to solve.

Practice B worksheet on Exponential Growth and Decay with math problems involving population growth, investment interest, and radioactive decay.

Practice B worksheet on Exponential Growth and Decay with math problems involving population growth, investment interest, and radioactive decay.

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Show Answer Key & Explanations Step-by-step solution for: Exponential Growth And Decay Practice - Fill Online, Printable ...
1. f(t) = 8000 * (1 + 0.04)^t; after 5 years: 8000 * (1.04)^5 ≈ 9733.25
2. f(t) = 800 * (1 + 0.06)^t; after 8 years: 800 * (1.06)^8 ≈ 1270.48
3. f(t) = 70 * (1 + 0.18)^t; after 1 year: 70 * (1.18)^1 = 82.6
4. A = 5000 * (1 + 0.03/1)^{1*5} = 5000 * (1.03)^5 ≈ 5796.37
5. A = 24000 * (1 + 0.05/1)^{1*3} = 24000 * (1.05)^3 ≈ 27783.00
6. A = 65000 * (1 - 0.06/4)^{4*12} = 65000 * (0.985)^{48} ≈ 31093.18
7. f(t) = 2000 * (1 - 0.03)^t; after 9 years: 2000 * (0.97)^9 ≈ 1518.78
8. f(t) = 2000 * (1 - 0.01)^t; after 8 days: 2000 * (0.99)^8 ≈ 1846.27
9. f(t) = 101 * (0.5)^{t/8} ; after 32 days: 101 * (0.5)^{4} = 101 / 16 = 6.3125
Parent Tip: Review the logic above to help your child master the concept of exponential growth and decay practice worksheet.
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