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hello and welcome to helpyourmath.com in this video were going to look at savings plans and investments previously weve looked at examples using simple interest compound interest and maybe even continuous interest to look at different types of interest earned on accounts but with those we only looked at just a single deposit and what would happen over time if you just left that one deposit in the account today were going to look at when we make monthly deposits maybe you want to start a savings account but you dont have fifteen thousand dollars right now so instead you make just a small deposit each month were going to look at how that grows given different annual percent yields and perce uh interest rates so lets get started with an example were going to try to figure out how to derive the savings plan formula and then in the next video were actually going to go through the derivation of that formula for now were going to suppose that we deposit 100 into a savings account at