Jack invested some money in a bank at a fixed rate of interest compounded annually. The equation below shows the value of his investment after x years: f(x) = 300(1.02)* What was the average rate of change of the value of Jack's investment from the third year to the fifth year? 0 6.43 dollars per year 8.24 dollars per year O 12.86 dollars per year 0 14.26 dollars per year

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A: Solution

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A: Substituting n = 0 gives current population P(0)

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A: We will rearrange the given function using basic algebra and find if it represents growth or decay.

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Q: Suppose that $7000 is deposited in a savings account that pays 9% per annum, compounded biannually,…

A: A=P1+rmmt=70001+0.0922t Thus, the account balance is At=70001+0.0922t.

Q: A baseball card sold for $300 in 1979 and was sold again in 1986 for $481. Assume that the growth in…

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Q: Below is the graph of an exponential function,y=g(x). 400 y         300   (2,300)       200…

A: Let g(x)=ab^x

Q: Which of the following formulas are exponential?

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Q: The exponential equation P(t)=0.18(1.2)t  represents?

A: The given function is: P(t) = 0.18(1.2)t

Q: In a laboratory experiment, the population of bacteria in a petri dish started off at 9100 and is…

A: Given: The initial population of a bacteria=9100 and rate of growth=6% per day. To find: A function…

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A: We need to find out the growth rate from 2012 to 2016, also the growth rate from 2016 to 2020.

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Q: In 2000, there were about 212 million vehicles and about 281 million people in a certain country.…

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Q: (a) Give a formula for the city’s population, P, as a function of the number of years, t, since…

A: To give formulae to for the city’s population as a function number of years(t)  since 2015. Hence…

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Q: (3/5)x=71-x

A:

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.