Question

You have ​$65 in your bank account. Each week you plan to deposit ​$7 from your allowance and ​$20 from your paycheck. The equation b=65+(20+7​)w gives the amount b in your account after w weeks. How many weeks from now will you have ​$195 in your bank​ account?

Answer 1

To have $195 in the bank account, the student will need to make weekly deposits for approximately 5 weeks, starting with a $65 balance and adding $27 each week.

Step-by-step explanation:

The student asked how many weeks it will take to have $195 in their bank account if they start with $65 and deposit $27 ($7 from allowance and $20 from a paycheck) each week. The formula given is b=65+(20+7)w. They want to find the value of 'w' when 'b', the total balance, is $195.

We set up the equation using the given information: 195 = 65 + 27w. To solve for 'w', subtract 65 from both sides: 130 = 27w. Then, divide both sides by 27 to isolate 'w': w ≈ 4.81.

Since we cannot have a fraction of a week, the student will reach $195 after the 5th week of deposits.

To have $195 in the bank account, the student will need to make weekly deposits for approximately 5 weeks, starting with a $65 balance and adding $27 each week.