# The current student population of Tucson is 2900. If the population increases at a rate of 14.8% each year. What will the student population be in 7 years? Write an exponential growth model for the future population P(x) where x is in years: P(x)= What will the population be in 7 years? (Round to nearest student)

Question
Exponential growth and decay
The current student population of Tucson is 2900. If the population increases at a rate of 14.8% each year. What will the student population be in 7 years?
Write an exponential growth model for the future population P(x) where x is in years:
P(x)=
What will the population be in 7 years? (Round to nearest student)

2021-01-07
formula used
$$p=p_oe^(rt)$$
Given:
$$P=2900e^(0.148*7)$$
$$P=2900e^(1.036)$$
=2900(2.818)
$$papprox8172$$
Write an exponential growth model for the future population p(x) where x is in years:
$$p(x)=2900e^((0.148)x)$$

### Relevant Questions

Write an exponential growth or decay function to model each situation. Then find the value of the function after the given amount of time. A new car is worth $25,000, and its value decreases by 15% each year; 6 years. asked 2021-03-07 This problem is about the equation dP/dt = kP-H , P(0) = Po, where k > 0 and H > 0 are constants. If H = 0, you have dP/dt = kP , which models expontialgrowth. Think of H as a harvesting term, tending to reducethe rate of growth; then there ought to be a value of H big enoughto prevent exponential growth. Problem: find acondition on H, involving $$\displaystyle{P}_{{0}}$$ and k, that will prevent solutions from growing exponentially. asked 2021-01-06 Write an exponential growth or decay function to model each situation. Then find the value of the function after the given amount of time. The student enrollment in a local high school is 970 students and increases by 1.2% per year, 5 years. asked 2021-04-25 The unstable nucleus uranium-236 can be regarded as auniformly charged sphere of charge Q=+92e and radius $$\displaystyle{R}={7.4}\times{10}^{{-{15}}}$$ m. In nuclear fission, this can divide into twosmaller nuclei, each of 1/2 the charge and 1/2 the voume of theoriginal uranium-236 nucleus. This is one of the reactionsthat occurred n the nuclear weapon that exploded over Hiroshima, Japan in August 1945. A. Find the radii of the two "daughter" nuclei of charge+46e. B. In a simple model for the fission process, immediatelyafter the uranium-236 nucleus has undergone fission the "daughter"nuclei are at rest and just touching. Calculate the kineticenergy that each of the "daughter" nuclei will have when they arevery far apart. C. In this model the sum of the kinetic energies of the two"daughter" nuclei is the energy released by the fission of oneuranium-236 nucleus. Calculate the energy released by thefission of 10.0 kg of uranium-236. The atomic mass ofuranium-236 is 236 u, where 1 u = 1 atomic mass unit $$\displaystyle={1.66}\times{10}^{{-{27}}}$$ kg. Express your answer both in joules and in kilotonsof TNT (1 kiloton of TNT releases 4.18 x 10^12 J when itexplodes). asked 2021-02-24 Consider the following case of exponential growth. Complete parts a through c below. The population of a town with an initial population of 75,000 grows at a rate of 5.5​% per year. a. Create an exponential function of the form $$Q=Q0 xx (1+r)t$$​, ​(where r>0 for growth and r<0 for​ decay) to model the situation described asked 2020-11-08 In 2005, the population of a district was 28,300, With a continuous annual growth rate of approximately 7% what will the population be in 2020 according to the exponential growth function? Round the answer to the nearest whole number. asked 2020-12-17 In 2017, the population of a district was 20,800. With a continuous annual growth rate of approximately 6%, what will the population be in 2032 according to the exponential growth function? Round the answer to the nearest whole number. asked 2020-11-03 The exponential models describe the population of the indicated country, A, in millions, t years after 2010.Which country has the greatest growth rate? By what percentage is the population of that country increasing each year? India, $$A=1173.1e^{0.008t}$$ Iraq, $$A=31.5e^{0.019t}$$ Japan, $$A=127.3e^{0.006t}$$ Russia, $$A=141.9e^{0.005t}$$ asked 2021-05-12 4.7 A multiprocessor with eight processors has 20attached tape drives. There is a large number of jobs submitted tothe system that each require a maximum of four tape drives tocomplete execution. Assume that each job starts running with onlythree tape drives for a long period before requiring the fourthtape drive for a short period toward the end of its operation. Alsoassume an endless supply of such jobs. a) Assume the scheduler in the OS will not start a job unlessthere are four tape drives available. When a job is started, fourdrives are assigned immediately and are not released until the jobfinishes. What is the maximum number of jobs that can be inprogress at once? What is the maximum and minimum number of tapedrives that may be left idle as a result of this policy? b) Suggest an alternative policy to improve tape driveutilization and at the same time avoid system deadlock. What is themaximum number of jobs that can be in progress at once? What arethe bounds on the number of idling tape drives? asked 2021-02-05 The value of a home y (in thousands of dollars) can be approximated by the model, $$y= 192 (0.96)^t$$ where t is the number of years since 2010. 1. The model for the value of a home represents exponential _____. (Enter growth or decay in the blank.) 2. The annual percent increase or decrease in the value of the home is ______ %. (Enter the correct number in the blank.) 3. The value of the home will be approximately$161,000 in the year