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OTHER APPLICATIONS
Net Savings Suppose a company wants to introduce a new machine that will produce a rate of annual savings (in dollars) given by
where
- For how many years will it be profitable to use this new machine?
- What are the net total savings during the first year of use of the machine?
- What are the net total savings over the entire period of use of the machine?
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Chapter 7 Solutions
Calculus For The Life Sciences
- The table shows the mid-year populations (in millions) of five countries in 2015 and the projected populations (in millions) for the year 2025. (a) Find the exponential growth or decay model y=aebt or y=aebt for the population of each country by letting t=15 correspond to 2015. Use the model to predict the population of each country in 2035. (b) You can see that the populations of the United States and the United Kingdom are growing at different rates. What constant in the equation y=aebt gives the growth rate? Discuss the relationship between the different growth rates and the magnitude of the constant.arrow_forwardNew Equation of Change? The tax liability T in dollars, for a company that has an initial tax liability of 6200 is dTdt=0.02T. Here, t is time in years. What would be the equation of change for the tax liability if the initial tax liability were 7000?arrow_forward
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