Victoria had $200 in her account at the end of one year. at the first of each subsequent year she deposits $15 into the account and earns 2% interest on the new balance. which recursive formula represents the total amount of money in the bank?

Amount of money that Victoria had in her account at the end of year

                                                        = $ 200

Money Deposited At each subsequent year = $ 15

Total Balance after a year = $ 200 + $ 15 = $ 215

Rate of interest = 2 %

As there are two types of interest : 1. Simple Interest 2. Compound Interest

In simple interest Principal doesn't get affected. As rate of interest is applied on Money invested in the beginning.

But in compound interest , Principal changes on each day, or month, or semi annually, or yearly the way the interest is applied.

So, Recursive Formula that represents the total amount in the bank

     = Amount after each subsequent year

    =  

= where n= 1,2,3.......

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

addition

step-by-step explanation: