Ellen deposits $6,773 into an account earning 1% annually. after seven years what will ellen's balance have grown to, including interest?

Each accounts have different amounts of interests, so for this i'm going to use 0.5%

First of all there are quick and easy ways to solve this, here is the most time consuming (explained way to do this):

6773 * 101% = Account balance without interest  (100% + 1% = 101%)
6773 * 101% = 6840.73 (first year)
6840.73 * 101% = 6909.1373 (second year)
6909.1373 * 101% = 6978.228673 (third year)
6978.228673 * 101% = 7048.01095973 (fourth year)
7048.01095973 * 101% = 7118.49106933 (fifth year)
7118.49106933 * 101% = 7189.67598002 (sixth year)
7189.67598002 * 101% = 7261.57273982 (seventh year)

So the balance without interest by the 7th year is : 7261.57 (2 DP)
Subtracting the interest of 0.5% (assumption) :
7261.57 * 99.50% = 7225.26215 or 7225.26 (2 DP)

Note this way is extremely time consuming, I was just showing the process. I may not be right though, if my logic seems right, use this answer.

38+105= 143, 39+104=143, and you will find then adding the numbers on opposite sides, moving inwards yields the answer 138 every time. because of this, you’re going to multiply 138 times the number of pairs, which is 34. therefore, 34*138= 4692(i’m sorry if it’s the wrong numbers, but it’s the right concept)