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- 1. Suppose that on January 1 you have a balance of $5600 on a credit card whose APR is 17%, which you want to pay off in 1 year. Assume that you make no additional charges to the card after January 1. a. Calculate your monthly payments. b. When the card is paid off, how much will you have paid since January 1? c. What percentage of your total payment from part (b) is interest? a. The monthly payment is? Then round to the nearest cent as needed.) 2. Compare the monthly payments and total loan costs for the following pairs of loan options. Assume that both loans are fixed rate and have the same closing costs. You need a $160,000 loan. Option 1: a 30-year loan at an APR of 8%. Option 2: a 15-year loan at an APR of 7.5%. Question content area bottom Part 1 Find the monthly payment for each option. The monthly payment for option 1 is $enter your response here. The monthly payment for option 2 is $enter your response here. (Do not round…K Suppose that on January 1 you have a balance of $2500 on a credit card whose APR is 13%, which you want to pay off in 1 year. Assume that you make no additional charges to the card after January 1. a. Calculate your monthly payments. b. When the card is paid off, how much will you have paid since January 1? c. What percentage of your total payment from part (b) is interest? a. The monthly payment is $ (Do not round until the final answer. Then round to the nearest cent as needed.) b. The total paid since January 1 is $ (Use the answer from part (a) to find this answer. Round to the nearest cent as needed.) c. The percentage of the total paid that is interest is %. (Use the answer from part (b) to find this answer. Round to one decimal place as needed.)Suppose that on January 1 you have a balance of $2600 on a credit card whose APR is 13%, which you want to pay off in 1 year. Assume that you make no additional charges to the card after January 1. a. Calculate your monthly payments. b. When the card is paid off, how much will you have paid since January 1? c. What percentage of your total payment from part (b) is interest? ... a. The monthly payment is $. (Do not round until the final answer. Then round to the nearest cent as needed.) b. The total paid since January 1 is $. (Use the answer from part (a) to find this answer. Round to the nearest cent as needed.) c. The percentage of the total paid that is interest is %. (Use the answer from part (b) to find this answer. Round to one decimal place as needed.)
- Suppose that on January 1 you have a balance of $3100 on a credit card whose APR is 17%, which you want to pay off in 1 year. Assume that you make no additional charges to the card after January 1 a. Calculate your monthly payments.b. When the card is paid off, how much will you have paid since January 1?c. What percentage of your total payment from part (b) is interest?Suppose that on January 1 you have a balance of $3800 on a credit card whose APR is 13%, which you want to pay off in 1 year. Assume that you make no additional charges to the card after January 1. a. Calculate your monthly payments. b. When the card is paid off, how much will you have paid since January 1? c. What percentage of your total payment from part (b) is interest? a. The monthly payment is $ ☐. (Do not round until the final answer. Then round to the nearest cent as needed.)Suppose that on January 1 you have a balance of $6200 on a credit card whose APR is 18%, which you want to pay off in 1 year. Assume that you make no additional charges to the card after January 1 a. Calculate your monthly payments. b. When the card is paid off, how much will you have paid since January 1? c. What percentage of your total payment from part (b) is interest? C... a. The monthly payment is $ (Do not round until the final answer. Then round to the nearest cent as needed.)
- K Suppose that on January 1 you have a balance of $2800 on a credit card whose APR is 17%, which you want to pay off in 1 year. Assume that you make no additional charges to the card after January 1, a Calculate your monthly payments. b. When the card is paid off, how much will you have paid since January 1? c What percentage of your total payment from part (b) is interest? a. The monthly payment is $ (Do not round until the final answer. Then round to the nearest cent as needed)Suppose you have a credit card with a balance of $3295.89 that charges 19.85% APR on unpaid balances. The minimum payment each month is $35. If you make just the minimum payment, how much interest will be added to your account balance?Suppose you deposit D dollars at the beginning of each month into an account that pays a monthly rate of r as a decimal. Then, the balance B of the account after t months is given by B = D(1 + r) (1 + r)t − 1 r dollars. Suppose you deposit $160 at the beginning of each month into an account that pays a monthly rate of r = 0.005, which corresponds to an APR of 6%. How long does it take for the account balance to build to $2600? Report your answer to the nearest whole month. months
- Suppose you deposit m dollars the beginning of every month in a savings account that earns a monthly interest rate of r. For an initial investment of m dollars, the amount of money in your account at the beginning of the second month is the sum of your second deposit and your initial deposit plus interest. Denote by An the amount of money in your account in the nth month. 1. Explain why A₁ = m dollars. 2. Explain why A₂ = m+m(1+r) dollars. 3. Write down explicit expressions for A3 and A4. This is the crucial step. 4. Explain why An = m+m(1 + r) + m(1 + r)² + ... +m(1 + r)"−¹ dollars. 5. Use the formula for a geometric sum to show that An = m (1 + r)” − 1 r dollars. 6. If your account has a monthly interest rate r = 0.002 and you deposit $200 monthly for 5 years, how much money will you have in your account after the 5 years? (Hint: How many months?)Suppose that you owe $2,000 on a credit card that charges 18% APR and you pay either the minimum 10% or $20, whichever is higher, every month. How long will it take you to eliminate the debt? Assume that the bank uses the previous-balance method to calculate your interest, meaning that the bank does not subtract the amount of your payment from the beginning balance but charges you interest on the previous balance.Suppose you owe $1,100 on your credit card. The annual percentage rate (APR) is 18%, compounded monthly. The credit card company says your minimum monthly payment is $19.80. (4.15) Solve, a. If you make only this minimum payment, how long will it take for you to repay the $1,100 balance (assuming no more charges are made)? b. If you make the minimum payment plus $10 extra each month (for a total of $29.80), how long will it take to repay the $1,100 balance? c. Compare the total interest paid in Part (a) with the total interest paid in Part (b).
