The population of a certain bacteria can be modeled by P= 50(1 + r) where t is the time in hours. The population triples after one hour. Which of the following is the growth rate? Or = 200% T = 2% r 3% Or= 300%

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ome . The population of a town reaches 113000. 7 years ago the population was 82000. Assuming that the growth rate of the town is exponential then the growth rate of the population to the nearest tenth of a percent is % per year. Express 3 log, (a)-2log,(b)- log, (9)+-log,(c) as a single logarithm. 3 32 B.

Use Regression to Find and Use an Exponential Model to answer the questions: The numbers of polio cases in the world are shown in the table for various years. Year Number of Polio Cases (thousands) 350 138 1988 1992 1996 36 2000 4 2005 3.2 2007 1.3 Let f(t) be the number of polio cases in the world t years since 1980. The exponential regression equation for the data above is: f(t) = 3837.25(0.74)* Predict the number of polio cases in 2009. Hint Predict in which year there will be 1 case of polio. Find the approximate half-life of the number of polio cases. Round your answer to one decimal place. years

Find a formula for the tripling time T3 of an exponential growth model. Write the relative growth rate as k. T3 =

Complete the table for the time t (in years) necessary for P dollars to triple when it is invested at an interest rate r compounded continuously and annually. decimal places.) (a) continuously ir 2% 4% 6% 8% 10% 12% (b) annually 2% 4% 6% 8% 10% 12% Need Help? Read It

The table shows a city's population at 10-year intervals from 1970 to 2000. t = 0 represents 1970. %3D t: years since 1970 10 20 30 P: population 240 710 2130 6450 al Use exponential regression and all the data points to write an equation for the function, P = f (t) for the population, t years after 1970. Round your "a" and “b" values in your equation to 4 decimal places. b) Using your regression equation, determine the predicted population in 2025 (to the nearest person).

Predict the percentage of female high school graduates in 2026.  Round to the nearest tenth (1 decimal place). _______ Predict instantaneous rate of change of the percentage of female high school graduates in 2033.  Round to the nearest hundredth (2 decimal places). _______ % per year

Complete the table by finding the balance A when P dollars is invested at rate r for t years and compounded n times per year. (Round your answers to the nearest cent.) P = $1200, r = 6%, t = 40 years   Find the continuous compounding after 40 years: $

1A.43 Please refer to the attached image for my question. Please show ALL your work. Thank you!