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Exponential functions: growth, decay, and the natural base e — Homework
Compute the exponent (rate times time) as its own step before raising e to it.
- 1.Is f(x) = 3*(0.6)^x growth or decay? Find f(0).
- 2.Find the balance after 4 years on $2000 invested at a continuous rate of 6%.
- 3.A population of 800 grows at an ordinary annual rate of 5%. Find the population after 6 years.
- 4.Explain why the horizontal asymptote of every exponential function of the form f(x)=a*b^x is y=0, no matter what a and b are (as long as a is not 0).
- 5.A car's value depreciates continuously at 12% per year from $25,000. Estimate its value after 5 years.
🌲 Homeschool of the FutureTwelfth Grade · Math · week 12 homework