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
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.
To determine how many weeks it takes for Shannon to save $450, we need to calculate how many weeks it takes for her weekly deposits to accumulate to $450.
Let's break down the problem step by step:
1. Shannon opens a savings account with $50.
2. After that, she deposits $8 into her account each week.
To find the number of weeks it takes her to save $450, we need to determine the total amount deposited and compare it to $450.
First, we need to find the total amount Shannon deposits each week, including her initial deposit of $50.
To find the weekly deposit amount, we add the initial deposit of $50 to the subsequent weekly deposit of $8:
$50 + $8 = $58
Now we know Shannon deposits $58 each week.
Next, we need to determine how many weeks it takes for the total amount deposited to reach or exceed $450.
To find the number of weeks, we divide $450 by the weekly deposit amount of $58:
$450 ÷ $58 ≈ 7.7586
Since we can't have a fraction of a week, we round up to the nearest whole number. Therefore, it takes Shannon approximately 8 weeks to save $450.
Thus, Shannon needs to save for approximately 8 weeks to accumulate $450 in her savings account.
To determine how many weeks it takes Shannon to save $450, we will calculate the total amount she saves each week and divide it by her savings goal.
Step 1: Calculate the total amount Shannon saves each week.
Shannon deposits $50 each week into her account.
After that, she also deposits $8 into her account.
Therefore, the total amount Shannon saves each week is $50 + $8 = $58.
Step 2: Divide Shannon's savings goal by the total amount she saves each week.
Shannon's savings goal is $450.
So, $450 / $58 = 7.7586.
Step 3: Round up the result to the nearest whole number.
Since Shannon cannot save a fraction of a week, we will round up the result from step 2 to the nearest whole number.
So, Shannon takes approximately 8 weeks to save $450.