After a deposit of 100 a withdrawal of $ 125 and a deposit of $24 the best balance of 27.28 what was the balance before the deposits and withdrawal.

the initial balance before the deposits and withdrawal is $28.28

Step-by-step explanation:

Let x = the initial balance before the deposits and withdrawal. This means that the total amount he had prior to the deposit and withdrawal is $x

A deposit of $100 was made. This means that the new balance is

x + 100 = $(100 + x)

A withdrawal of $125 was made. This means that the new balance is

x + 100 - 125 = $(x - 25)

Another deposit of $24 was made. This means that the new balance is

x - 25 + 24 = $(x -1)

The final balance on the account is $27.28

Therefore, the balance after these deposits and withdrawals, $(x -1) and the final balance, $27.28 will be the same. This means

x - 1 = 27.28

x = 27.28 + 1 = $28.28

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584