olve the following real-world problem: Destiny opens a checking account with $100 and then deposits $27 each week. How many weeks will it take her account to reach $343?(1 point)
To solve this problem, we can set up an equation where the total amount in the account after a certain number of weeks is given by:
$100 + $27 * Number of weeks = $343
To isolate the variable, we can subtract $100 from both sides of the equation:
$27 * Number of weeks = $343 - $100
$27 * Number of weeks = $243
Finally, to find the number of weeks, we divide both sides of the equation by $27:
Number of weeks = $243 / $27
Number of weeks = 9
Therefore, it will take Destiny 9 weeks for her account to reach $343.
To solve this problem, we need to determine how many weeks it will take for Destiny's account balance to reach $343.
Let's break it down step-by-step:
Step 1: Start with an initial balance of $100.
Step 2: Add $27 each week to the account balance.
Step 3: We want to find the number of weeks it takes for the account balance to reach $343.
To calculate how many weeks it will take, we can use the equation:
Initial balance + (weekly deposit * number of weeks) = Desired balance
In this case, the initial balance is $100, the weekly deposit is $27, and the desired balance is $343.
Let's plug in these values and solve for the number of weeks:
$100 + ($27 * number of weeks) = $343
Simplifying the equation:
$27 * number of weeks = $343 - $100
$27 * number of weeks = $243
To isolate the number of weeks, we divide both sides of the equation by $27:
number of weeks = $243 / $27
number of weeks = 9
Therefore, it will take her account 9 weeks to reach a balance of $343.
To solve this problem, you can set up an equation to find out the number of weeks it will take for Destiny's account to reach $343.
Let's break down the problem:
- Destiny opens a checking account with $100.
- Each week, she deposits $27 into her account.
- We want to find out how many weeks it will take for her account to reach $343.
To represent this mathematically, let's use the variable "w" to represent the number of weeks. We know that the initial amount in her account is $100, and she deposits an additional $27 each week. So the equation will be:
Initial amount + Amount deposited per week * Number of weeks = Total amount
$100 + $27w = $343
Now, to solve this equation for "w," we can follow these steps:
1. Subtract $100 from both sides of the equation to isolate the term $27w:
$27w = $343 - $100
2. Simplify the right side of the equation:
$27w = $243
3. Divide both sides of the equation by $27 to solve for "w":
w = $243 / $27
4. Calculate the result:
w = 9 weeks
Therefore, it will take Destiny 9 weeks for her account to reach $343.