Lucy's lemonade stand has increasing profits each week during the hot summer months. Lucy finds that each week during the summer her profits increase by 10% over what they were the previous week. In her first week of business, her profits were $50. How much money will she make in all over 4 weeks?

Lucy's profit over 4 weeks was $238.705

Step-by-step explanation:

Since the value of Lucy's profit increase by 10% over what they were on the previous week, we can model her profit using the formula for compounded interest which is given below:

profit(n) = profit(1)*(1 + r)^(n-1)

Where profit(n) is the profit on the nth week, profit(0) is the profit on the initial week, r is the rate at which her profits grows and n is the number of weeks. Applying the data from the problem, we have:

profit(1) = 50

profit(2) = 50*(1.1)^(2-1) = 55

profit(3) = 50*(1.1)^(3-1) = 60.5

profit(4) = 50*(1.1)^(4-1)  = 73.205

Her total profit over 4 weeks was:

total profit = profit(1) + profit(2) + profit(3) + profit(4)

total profit = 50 + 55 + 60.5 + 73.20 = 238.705

x -

median = 1.25

range = 12-14.5

interquartile = q12-q14.5

y -

median = 1

range = 15-17

interquartile = q15-q17

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.