a,b,c,d

The applet above shows the graph of the continuous compounding model A(t)=2500e0.0634t in green with point G giving the value of the account t years after the investment of $2,500 was made. Answer in COMPLETE SENTENCES. (part a) Recall that earlier in the course we learned that exponential functions with the natural base e could be rewritten as base b exponential functions, and vice versa. When we apply this approach to A(t), we see that A(t)=2500e0.0634tA(t)=2500(1.06545)t From these functions, we can determine the continuous growth rate of A and the annual (actual) growth rate of A. Since A models the growth of the value of the account, we can relate the ideas of the growth rates to the APR and APY in our exponential financial models. Copy and paste the template into the answer box below. Find the APR and APY percentages for the model A(t). The first blank in each sentence should be completed with either "APR" or "APY." The is the continuous growth rate and is equal to The is the annual (actual) growth rate and is equal % %. (part b) Use the input boxes for the compound interest function B(t) (in red) to model the growth of $2,500 with an APR of 6.34% compounded 1 time per year. Once the values are entered, drag the slider for n to the right, increasing the compounding periods to the maximum allowed in the applet. What happens to the compound interest (RED) graph in relation to the continuous compounding (GREEN) graph? Considering all the possible choice of n, how do the future values of these accounts compare? (part d) Use the applet above to determine how much should invested at 7.9% simple interest if the future value given by A(11) matches the simple interest investment in 11 years. Note that t function labeled S(t) (in purple) will provide the future values for the simple interest model. In other words, you want to find the principal amount invested under simple interest so tha A(11)=S(11). Enter the 7.9% simple interest in the appropriate input box and experiment with principal amount until S(11) matches A(11) to the nearest cent