$2.$ Two sisters have different attitudes about spending and saving. One sister, Iris, prefers saving now and would like to spend more later in life. The other sister, Delores, prefers to spend now and start earnestly saving later in life. Iris begins saving $$1500/$month at age $25$ and commits to saving that amount for the next $10$ years. She will not add to her savings for the following $25$ years. Delores plans to start saving at age $35$ after she has traveled the world and checked off her bucket list. At that point she will save $$1500/$month and will do so for the next $25$ years. Both sisters earn $10\%/$year compounded monthly on their investments.

a$.$ How much will Iris contribute to her retirement savings?

b$.$ How much cash will Iris have $35$ years from now?

c$.$ How much will Delores contribute to her savings?

d$.$ How much will Delores have $35$ years from now?

e$.$ Explain the differences in outcomes.