Please show full solving steps for each question

1. Rajesh would like to buy his first car and the one he has his eye on is $25,000, plus an extra 13% HST for a total price of $28,250. The dealership has a deal for $0 down payment and charges 2.89% interest on the loan. Rajesh plans to make car loan payments weekly and has accepted the maximum loan repayment period of 8 years.

How much will his weekly car loan payment be? [1]

What will be the total interest paid? [2]

2. Dave Young has accumulated some credit card debt while he was in college. His total debt is now $13,864.82 and his credit card charges 21% interest compounded monthly. He is getting worried about his debt and is determined to pay it off completely.

What would Dave Young's minimum payment have to be in order to pay off his debt in 5 years? [1]

What will be the total interest paid? [2]

3. Dave Young is daunted by that monthly payment amount and is trying to figure out how he can make paying off his loan more manageable. He went to his bank and found out he could get a personal line of credit that he could then use to pay off his credit card. The line of credit has an interest rate of 9% compounded monthly.

Assuming he still planned to pay off his debt in 5 years, what would his monthly payments to the bank be now? [1]

What will be the total interest paid? [2]

4. Dave Young realizes that payment amount, even though reduced, is just not manageable based on how much he currently makes and all of the other expenses he also has to budget for. As a result he decides paying off his debt in 10 years is simply more realistic.

What would Dave Young's monthly loan payments be with this new timeline? [1]

What will be the total interest paid?[2]

5. While she was travelling, Zainab took advantage of the convenience of cash withdrawals on her credit card since her Canadian debit card wasn't accepted in the country she was in. According to her travel budget she withdrew $150 every day for food, activities and shopping for 21 days. When she got home, on the 21st day, she checked her credit card bill on-line and it showed that she had been charged interest already even though her payment wasn't past due. It turns out that interest is compounded daily on cash withdrawals, from the day the cash is withdrawn.

If the interest rate on cash withdrawals is 28%, what was her total bill when she got home? [1]

What would be the total interest paid? [2]

6. Aya and Sakura would like to buy a house and their dream home costs $500,000. Their goal is then to save $50,000 for a down payment and then would take out a mortgage loan for the rest. They plan to put their monthly saved amount in a conservative mutual fund that has a track record of a 5.4% rate of return. To be sure they don't go spending this money on other things, they are going to move it into their investment account at the beginning of each month. Their hope is to be able to buy this home in 7 years.

What would their monthly savings amount have to be to reach this goal? [1]

What will be the total interest earned? [2]