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
A 56.25 weeks
B 62.5
C 52 weeks
D 40 weeks
Which one is the answer
To find out how many weeks it takes Shannon to save $450, we need to determine the number of $8 deposits she makes until she reaches or exceeds $450.
We can start by subtracting the initial $50 deposit from the target amount of $450:
$450 - $50 = $400
Now, we need to divide the remaining amount ($400) by the amount of each deposit ($8):
$400 / $8 = 50
Since Shannon started with an initial deposit of $50, to save $450 it will take her an additional 50 weeks to accumulate the necessary amount.
So, the correct answer is D) 40 weeks.
To find the number of weeks it takes Shannon to save $450, we need to calculate the total amount of money she saves each week. Initially, she saves $50, and then she adds an additional $8 each week.
Let's calculate the total amount saved each week:
Week 1: $50
Week 2: $50 + $8 = $58
Week 3: $58 + $8 = $66
Week 4: $66 + $8 = $74
(and so on)
We can see that each week, Shannon saves an additional $8 compared to the previous week.
To find the number of weeks it takes to save $450, we can set up an equation:
$50 + ($8 * n) = $450
Here, n represents the number of weeks.
Now, solve for n:
($8 * n) = $450 - $50
($8 * n) = $400
n = $400 / $8
n = 50
So, Shannon saves $450 in 50 weeks.
Therefore, the correct answer is C) 52 weeks.
To find out how many weeks it will take for Shannon to save $450, we need to determine the number of $8 deposits she makes and calculate the time it takes for these deposits to accumulate to $450.
First, we need to find the number of $8 deposits Shannon makes. We know she opens the account with $50 and makes a $50 deposit each week afterward. So, the total amount of her deposits each week is $50 + $8 = $58.
Next, we need to find out how many weeks it takes for Shannon's deposits to reach $450. We can set up an equation:
$58 x number of weeks = $450
To solve for the number of weeks, divide both sides of the equation by $58:
number of weeks = $450 / $58
Calculating this, we find:
number of weeks ≈ 7.76 weeks
Since we cannot have a fraction of a week, we need to round the number up to the nearest whole number of weeks. Thus, it will take Shannon approximately 8 weeks to save $450.
Answer: None of the provided answer choices matches the correct answer.