Solve the following real world problem: destiny open a checking account with $100 and then deposits 27. How many weeks will it take for her account to reach $343.
To solve this problem, we need to find out how much money Destiny will deposit each week and how many weeks it will take for her account to reach $343, starting from an initial balance of $100.
Let's start by finding out how much money Destiny will deposit each week. The total amount of money she will deposit is the difference between the final balance and the initial balance.
Final balance = $343
Initial balance = $100
Amount to be deposited = Final balance - Initial balance
Amount to be deposited = $343 - $100
Amount to be deposited = $243
Now, we need to determine how many weeks it will take for Destiny's account to reach $343. Since the amount to be deposited is $243 and this will be deposited over a certain number of weeks, we can divide this amount by the number of weeks to find out how much she will deposit each week.
Amount to be deposited per week = $243 / (number of weeks)
We want to find out the number of weeks, so we can rearrange the equation:
Number of weeks = $243 / Amount to be deposited per week
From the information given, we know that Destiny deposits $27 each time. So, we can substitute this value into the equation:
Number of weeks = $243 / $27
Now, we can divide $243 by $27 to find out the number of weeks it will take for Destiny's account to reach $343.
Number of weeks = 9 weeks
Therefore, it will take 9 weeks for Destiny's account to reach $343 if she starts with an initial balance of $100 and deposits $27 each week.
To solve this real-world problem, we need to set up an equation and solve for the number of weeks it will take for Destiny's account to reach $343.
Let's break down the problem step-by-step:
1. Destiny opens a checking account with $100.
2. Then, she deposits $27.
3. We need to find out how many weeks it will take for her account to reach $343.
Let's assume "w" represents the number of weeks it takes for Destiny's account to reach $343.
Each week, Destiny's account balance will increase by $27 (from her deposit) plus any additional amount earned in interest.
Since we're given the starting balance of $100, the amount deposited of $27, and the final balance of $343, we can set up the following equation:
$100 + $27w = $343
Now, we can solve this equation to find the value of "w" - the number of weeks it will take for Destiny's account to reach $343.
$100 + $27w = $343
Subtract $100 from both sides of the equation:
$27w = $343 - $100
$27w = $243
Divide both sides of the equation by $27:
w = $243 รท $27
w = 9
Therefore, it will take Destiny 9 weeks for her account to reach $343.
To solve this problem, we can set up an equation based on Destiny's account balance after each week. Let's assume that the number of weeks it takes for her account to reach $343 is represented by "x".
After the first week, Destiny's account balance would be $100 + $27 = $127.
After the second week, her account balance would be $127 + $27 = $154.
Following this pattern, we can see that her account balance increases by $27 every week.
So, the equation that represents this situation would be:
$100 + ($27 * x) = $343
To solve for "x", we need to isolate it on one side of the equation. Let's simplify the equation:
$27 * x = $343 - $100
$27 * x = $243
Dividing both sides of the equation by $27:
x = $243 / $27
x = 9
Therefore, it will take Destiny 9 weeks for her account to reach $343.