__________ How many great-great... great-grandparents did you have in generation 12? That is, with you as generation zero, how many grandparents in the 12th generation?
__________ If one generation is 28 years, how many years ago would 12 generations be?
f(x) = __________ Suppose you have six children and they each have six children who each have six children and so forth. Write the function for this system. Use the variable x for the number of children.
__________ Use the above function for six children in every generation and WolframAlpha.com to determine the number of children in generation 4.
__________ The compound interest formula is given by:
For a principal P of $1000, an interest rate r of 0.05, compounded n = 4 times a year, calculate the Amount A after a time t of ten years.
__________ The continously compounding interest formula is given by:
For a principal P of $1000, an interest rate r of 0.05,calculate the Amount A after a time t of ten years.
__________ Evaluate f(x) = log10(x) for x = 1000.
__________ Evaluate f(x) = lne(x) for x = e.
__________ Marble bounce heights are described by the function:
where x is the bounce number and f(x) is the bounce height. Evaluate this function at x = 10 bounces.
__________ Marble bounce heights are described by the function:
where x is the bounce number and f(x) is the bounce height. Solve for the bounce number x where f(x) is two centimeters high .
Baby growth curves!
The chart above depicts the theoretic optimal baby weight growth rate for three babies: