Basic Mathematics010 marksNumerical: compound interest and function analysisEven and odd functions
Question In 2000, 100 is invested in a savings account, where it grows by accruing interest that is compounded annually (once a year) at an interest rate of 5.5%. Assuming no additional funds are deposited to the account and no money is withdrawn, give a formula for a function describing the amount
Question
In 2000, $100 is invested in a savings account, where it grows by accruing interest that is compounded annually (once a year) at an interest rate of 5.5%. Assuming no additional funds are deposited to the account and no money is withdrawn, give a formula for a function describing the amount $A$ in the account after $x$ years have elapsed.
Define when the function $f(x)$ is odd and even. Also, define when a function $f(x)$ is increasing and decreasing? If $y = x^2$ is a given function then determine the interval in which the function is increasing and decreasing and draw the graph of the given function. [5+5]
- Principal (initial investment in year 2000): $P = 100$ - Annual interest rate: $r = 5.5% = 0.055$ - Compounding frequency: once per year (annually) - No additional deposits or withdrawals - Time variable: $x$ = number of years elapsed since 2000 - Function to analyze in Part 2: $y = x^2$ All r...