Model the pair of situations with exponential functions f and g. Find the approximate value of x that makes f(x) = g(x). f. initial value of 300 decreasing at a rate of 6% g. initial value of 40 increasing at a rate of 6% Write the exponential function for f. f(x) =D (Use integers or decimals for any numbers in the expression.)

Model the pair of situations with exponential functions f and g. Find the approximate value of x that makes f(x) = g(x). f. initial value of 300 decreasing at a rate of 6% g. initial value of 40 increasing at a rate of 6% Write the exponential function for f. f(x) =D (Use integers or decimals for any numbers in the expression.)

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter7: Polynomial Equations And Factoring

Section: Chapter Questions

Problem 2CA

See similar textbooks

Similar questions

For the following exercises, use this scenario: A tumor is injected with 0.5 grams of Iodine-125, which has a decay rate of 1.15% per day. A research student is working with a culture of bacteria that doubles in size every twenty minutes. The initial population count was 1350 bacteria. Rounding to five significant digits, write an exponential equation representing this situation. To the nearest whole number, what is the population size after 3 hours?
Hector invests $10,000 at age 21. He hopes the investments will be worth when he turns 50. If the interest compounds continuously, approximately what rate of growth Will he need to achieve his goal?
Find an equation for the exponential function graphed in Figure 6.
For the following exercises, use this scenario: A tumor is injected with 0.5 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an exponential model representing the amount of Iodine-125 remaining in the tumor after t days. Then use the formula to find the amount of Iodine-125 that would remain in the tumor after 60 days. Round to the nearest tenth of a gram.
Use a graphing calculator to estimate the approximate solution to the logarithmic equation 2x=1000 to 2 decimalplaces.
Match the exponential function with one of the graphs labeled I,II,III and IV, shown below. (a) f(x)=2x (b) f(x)=2x (c) f(x)=2x (d) f(x)=2x
A person invests 100,000 at a nominal 12 interest per year compounded continuously. What will be the value of theinvestment in 30 years?
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.
What is the y -intercept of the logistic growth model y=c1+aerx ? Show the steps for calculation. What does this point tell us about the population?