Shannon opened a savings account with $50 each week after that she deposits $8 into her account how many weeks dose it take her to save $450

1 answer

To find out how many weeks it takes Shannon to save $450, we need to determine how much money she has in her account after each week.

After the first week: $50 (from the initial deposit)
After the second week: $50 + $8 = $58
After the third week: $58 + $8 = $66

We can observe that after each week, the amount in her account increases by $8. Therefore, the amount in her account after n weeks can be represented by the equation:

amount in account = 50 + (8 * (n - 1))

We need to find the value of n when the amount in her account reaches $450. So, we set up the equation:

450 = 50 + (8 * (n - 1))

Subtracting 50 from both sides, we get:

400 = 8 * (n - 1)

Dividing both sides by 8, we have:

50 = n - 1

Adding 1 to both sides:

n = 51

Therefore, it takes Shannon 51 weeks to save $450.