Victoria has some money from her birthday and the amount is modeled by the function h(x) = 200. She read about a bank that has savings accounts that accrue interest according to the function s(x) = (1.05)x − 1. Victoria is thinking about putting her money into the savings account to gain interest. Using complete sentences, explain to Victoria how she can combine her functions to create a new function, and explain what this new function means.

Question

kobeni-chan · Answer

I think that the functions should combine to be 200(1.05)^(x-1) ? @ganeshie8

kobeni-chan · Answer

@Littlebird is this right?

littlebird · Answer

I think so

kobeni-chan · Answer

That's good enough for me lol, thank you!

littlebird · Answer

Oh wait! Ignore that.

littlebird · Answer

Interest gained for a particular period equals to Money invested (kept) in Savings account for that period multiplied by Interest accrued on this money.

Therefore, Accrued interest i(x) = h(x) * s(x) = 200 * [ (1.05)x - 1 ], 
where x is the number of years for which money is invested.

So, new function i(x) = (210)x - 200 .

littlebird · Answer

I'm driving myself insane. I accidentally mistyped. That 210 should be 200.

I just wanted to write it out more intellignetly