The population of Afghanistan is growing at 2.6 % per year. a. Write a formula for the population of Afghanistan as a function of time. Use A for the initial population. S(t) = |Ae^2.6t Preview %3D b. In 2005, the population of Afghanistan was 29.9 million. At the current rate of growth, how long will it take the population to reach 40 million? Answer exactly or round to 3 decimal places. After 11.19 * years Preview

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Chapter2: Second-order Linear Odes
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The population of Afghanistan is growing at 2.6% per year.

**a. Write a formula for the population of Afghanistan as a function of time. Use A for the initial population.**

\( S(t) = Ae^{2.6t} \)

**b. In 2005, the population of Afghanistan was 29.9 million. At the current rate of growth, how long will it take the population to reach 40 million? Answer exactly or round to 3 decimal places.**

After 11.19 years
Transcribed Image Text:The population of Afghanistan is growing at 2.6% per year. **a. Write a formula for the population of Afghanistan as a function of time. Use A for the initial population.** \( S(t) = Ae^{2.6t} \) **b. In 2005, the population of Afghanistan was 29.9 million. At the current rate of growth, how long will it take the population to reach 40 million? Answer exactly or round to 3 decimal places.** After 11.19 years
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