Using your current age or closest $5-$year increment $(25,30,35,$ etc$),$ you now decide to begin putting money aside for retirement.$$You plan to save $$\_\_\_\_\_\_($pick a reasonable amount, under $$10,000)$ at the end of each year $($so the first deposit will be a year from now$)$ until the age of $65.$Suppose you will earn $8\%$ per year on your retirement savings.

How much will you have saved by the age of $65?$

$$Calculate again at $6\%$ and $10\%.$

What would happen if you waited to start another $10$ years?

$3.$ After calculating all of these scenarios, what were you most surprised to learn and why?$$

$$

B$)$Honda Motor Company is considering offering a $$2,000$ rebate on its minivan, lowering the vehicle$$s price from $$30,000$ to $$28,000.$The marketing group estimates that this rebate will increase sales over the next year from $40,000$ to $55,000$ vehicles. Suppose Honda$$s profit margin with the rebate is $$6,000$ per vehicle.$$If the change in sales is the only consequence of this decision, what are the costs and benefits? Is this a good idea?

What factors could make this a great success?

$$What factors could make this a big mistake?