4. In the year 2005, scientists released 50 rats onto an island to control giant insects. After studying the population for a few years, they determined that the rat population increases exponentially, according the the model f(t) = 50(1.22)'. What was the rat population 12 years after the study began? Round down to the nearest whole rat. O approximately 621 rats O approximately 565 rats O approximately 599 rats O approximately 543 rats PREVIOUS 4 of 5 NEX Li US enovo

4. In the year 2005, scientists released 50 rats onto an island to control giant insects. After studying the population for a few years, they determined that the rat population increases exponentially, according the the model f(t) = 50(1.22)'. What was the rat population 12 years after the study began? Round down to the nearest whole rat. O approximately 621 rats O approximately 565 rats O approximately 599 rats O approximately 543 rats PREVIOUS 4 of 5 NEX Li US enovo

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

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4. In the year 2005, scientists released 50 rats onto an island to control giant insects,
After studying the population for a few years, they determined that the rat population increases exponentially, according the the model f(t) = 50(1.22).
What was the rat population 12 years after the study began? Round down to the nearest whole rat.
O approximately 621 rats
approximately 565 rats
approximately 599 rats
approximately 543 rats
PREVIOUS
4 of 5
NEXT
Lir
US
enovo
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IQuestion 3] A. Compute the value of x in the following i. 4* = 32 ii. 25B*+1) = 625 B. Express the following as a single logarithm i. % log 25 – 2log 3 +2log 6 ii. log (x+1)–log (x²-1) C. A culture of bacteria starts with 500 bacteria and increases exponentially. The relationship between the number of bacteria present B present in the culture and the time elapsed, d in days is modelled by the following equation B = 50 10 In how many days will the culture reach 1 600000 bacteria?
Q.4. with A-50, a=10. What is the probability of the precipitation to remain in the range of 45 and Annual depth of precipitation X (cm) is assumed to be lognormally distributed 62 cm? Str
Consider the plot of the total number E of Ebola cases in West Africa reported to the Centers for Disease Control and Prevention from April 1, 2014, through December 1, 2015. D +|+|||||||||||||||| ► Ebola Cases in West Africa E = A logistic fit for these data is given by 27,841.42 1 + 134.65-0.646 where t is the time in months since April 1, 2014. Below, we have added the graph of this model. +-+|||||||||||||||||| ► Logistic Graph Added (a) Does the first plot, "Ebola Cases in West Africa," show a continuing epidemic or a health crisis that is under control by December 2015? Because the data points appear to be [leveling off ✔✔✔, they show a health crisis that is under control (b) According to the model, what was the total number of cases when the disease was spreading at the fastest rate? Round your answer to the nearest whole number. 27021.61 x cases (c) Use the crossing-graphs method to determine when the disease was growing at the fastest rate. Round your answer, in months after…
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(1) Confirm that the data in Table 1.2 for the temperatures 25 °C and 45 °C can also be approximated by constant relative changes. Then find the exponentials that match the data.
You are an econometrician working in the Ministry of Finance in Trinidad and Tobago and using a database consisting of 108 monthly observations on automobile accidents for Trinidad and Tobago between January 2011 and December 2019, you estimate the following model: log( totacc,) = B, + Bit + B2feb, + ßzmar.. + B12dec, + µe where totacc is the total number of accidents, t is time (measured in months), and feb,, mar,, dec, are dummy variables indicating whether time period t corresponds to the appropriate month. You obtain the following OLS results: Number of obs F( 12, Prob > F df 108 31.06 0.0000 0.7969 Source I MS 95) Model | 1.00244071 Residual | .255496765 12 .083536726 95 .00268944 R-squared Adj R-squared = 0.7712 Root MSE Total | 1.25793748 107 .011756425 - .05186 ltotacc | Coef. Std. Err. t P>It| [958 Conf. Interval] .0024274 -.0912208 .031287 .0027471 .0001611 .0244475 .0244491 17.06 0.000 .0030669 .0058479 .1283621 feb | -.0426865 mar | apr | may | jun | jul | aug | sep I oct I…
One of the possible models for the coronavirus is the logistic curve, shown here without scale. This curve shows the total number of cases of people infected with the virus. The rate of change for this curve is the number of ca es per day. 1. On the curve, mark the point at which the number of cases per day is greatest. What is a mathematical term for this point? 2. One of the criteria for re-opening activities is fourteen consecutive da s with a decreasing number of cases. Where is this on the curve? Number of Infected people as a function of time