Suppose you make a deposit of ​$100 at the beginning of every year into an account. At the beginning of the first​ year, the value of the account will be 100 ​dollars; at the beginning of the second​ year, the value of the​ account, in​ dollars, can be found by the given equation. Complete parts​ (a) and​ (b) below. ModifyingBelow ModifyingBelow 100 plus 100 r with brace With Value of 1 st deposit plus ModifyingBelow ModifyingBelow 100 with brace With Value of 2 nd deposit equals 100 left parenthesis 1 plus r right parenthesis plus 100 equals 100 r plus 200 Question content area bottom Part 1 ​(a) Verify that the value of the account at the beginning of the third year is Upper T left parenthesis r right parenthesis equals 100 r squared plus 300 r plus 300. Part 2 Choose the correct answer below. A.100 left parenthesis 1 plus r right parenthesis left parenthesis 1 plus r right parenthesis plus 100 left parenthesis 1 plus r right parenthesis plus 100 r equals 100 r squared plus 300 r plus 100 plus 100 r plus 100 equals 100 r squared plus 300 r plus 300 100 left parenthesis 1 plus r right parenthesis left parenthesis 1 plus r right parenthesis plus 100 left parenthesis 1 plus r right parenthesis plus 100 r equals 100 r squared plus 300 r plus 100 plus 100 r plus 100 equals 100 r squared plus 300 r plus 300 B.100 left parenthesis 1 plus r right parenthesis left parenthesis 1 plus r right parenthesis plus 100 left parenthesis 1 plus r right parenthesis plus 100 equals 100 r squared plus 200 r plus 100 plus 100 r plus 100 plus 100 equals 100 r squared plus 300 r plus 300 100 left parenthesis 1 plus r right parenthesis left parenthesis 1 plus r right parenthesis plus 100 left parenthesis 1 plus r right parenthesis plus 100 equals 100 r squared plus 200 r plus 100 plus 100 r plus 100 plus 100 equals 100 r squared plus 300 r plus 300 C.100 left parenthesis 1 plus r right parenthesis left parenthesis 1 plus r right parenthesis plus 100 left parenthesis 1 plus r squared right parenthesis plus 100 equals 100 r squared plus 300 r plus 100 plus 100 r plus 100 plus 100 equals 100 r squared plus 300 r plus 300 100 left parenthesis 1 plus r right parenthesis left parenthesis 1 plus r right parenthesis plus 100 left parenthesis 1 plus r squared right parenthesis plus 100 equals 100 r squared plus 300 r plus 100 plus 100 r plus 100 plus 100 equals 100 r squared plus 300 r plus 300