Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Oliver and Marie open bank accounts at the same
time. Oliver deposits $300 initially and adds $10
per week. Marie deposits $200 initially and adds
$20 per week. After how many weeks of making
additional deposits will Oliver and Marie have the
same amount of money in the account?
A. 10 weeks
C. 40 weeks
B. 2 weeks
D. 30 weeks


Sagot :

Answer:

A. 10 weeks

Step-by-step explanation:

Oliver  Marie

Starting 300  200

week 1 310  220

week 2 320  240

week 3 330  260

week 4 340  280

week 5 350  300

week 6 360  320

week 7 370  340

week 8 380  360

week 9 390  380

week 10 400  400

9514 1404 393

Answer:

  A. 10 weeks

Step-by-step explanation:

Marie's balance is initially $100 less, but she deposits $10 more per week than Oliver does. It will take her 100/10 = 10 weeks to catch up to Oliver's balance.

Oliver and Marie will have the same balance after 10 weeks.

__

Oliver's balance at that time will be 300 +10×10 = 400.

Marie's balance at that time will be 200 +10×20 = 400. (the same)