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1. Jeremy drives a private tour bas for a living. He bought the bus in the year 2014 with a down payment of 10% and took out a loan with a fixed interest of 4% per annum with 5 years repayment term. He pays a monthly installment of RM2 925 for his bus. Calculate the original price of the bus. A. RM195 000 B. RM162 500 C. RM975 000 D. RM243 750

1. Jeremy drives a private tour bas for a living. He bought the bus in the year 2014 with a down payment of 10% and took out a loan with a fixed interest of 4% per annum with 5 years repayment term. He pays a monthly installment of RM2 925 for his bus. Calculate the original price of the bus. A. RM195 000 B. RM162 500 C. RM975 000 D. RM243 750

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Jeremy drives a private tour bas for a living. He bought the bus in the year 2014 with a down payment of 10% and took out a loan with a fixed interest of 4% per annum with 5 years repayment term. He pays a monthly installment of RM2 925 for his bus. Calculate the original price of the bus. A. RM195 000 B. RM162 500 C. RM975 000 D. RM243 750 2. Jeremy earns RM1 300 per trip and usually does 6 trips per month. He completed his loan repayment tenure and sold the bas at 30% of the original price after 5 years. He had spent RM50.000 in maintenance fees and RM40 000 in insurance fees. Calculate the returns. A. 124% B. 38% C. 145% D. 263% 3. Damian has p amount of money. He plans to double his amount of money within 10 years by placing the money in a fixed deposit account which provides an interest rate of r% per annum, compounded daily. What is the minimum value of interest rate, r required? (Assume 1 year = 365 days) A. 11% B. 6.9% C. 5.1% D. 7.4% I. II. III. 4. Find the value of k in the following index problem. 4 8 −m + (m¹ ÷ -3m²) =m-m 5. An airport had a base of 1.1 km by 3 km. An expansion was underway and each sides were extended by a scale of 1: 1/3 What is the new base area of the airport, in km^2? 6. Encik Sazali bought property A for RM500 000 in the year 2001 with a down payment of 15%. He also paid a legal cost equivalent to 1% of his property's principal amount, stamp duty of RM21 000 and agent's commission of RM17.000. He rented out his property beginning in 2010 as he bought a second property for RM750 000. In the year 2018, he sold his first property for RM900 000. The loan amount he still owed the bank was RM276 000 and the amount of money amortized to the bank was RM655 000. The total rent collected throughout the years 2010 to 2018 was RM115 200 and the property's maintenance fees incurred was RM24.000. Calculate the return on investment for his property. Interpret your answer in (i). How to improve the returns in (i)? State three specific solutions.
Transcribed Image Text:1. Jeremy drives a private tour bas for a living. He bought the bus in the year 2014 with a down payment of 10% and took out a loan with a fixed interest of 4% per annum with 5 years repayment term. He pays a monthly installment of RM2 925 for his bus. Calculate the original price of the bus. A. RM195 000 B. RM162 500 C. RM975 000 D. RM243 750 2. Jeremy earns RM1 300 per trip and usually does 6 trips per month. He completed his loan repayment tenure and sold the bas at 30% of the original price after 5 years. He had spent RM50.000 in maintenance fees and RM40 000 in insurance fees. Calculate the returns. A. 124% B. 38% C. 145% D. 263% 3. Damian has p amount of money. He plans to double his amount of money within 10 years by placing the money in a fixed deposit account which provides an interest rate of r% per annum, compounded daily. What is the minimum value of interest rate, r required? (Assume 1 year = 365 days) A. 11% B. 6.9% C. 5.1% D. 7.4% I. II. III. 4. Find the value of k in the following index problem. 4 8 −m + (m¹ ÷ -3m²) =m-m 5. An airport had a base of 1.1 km by 3 km. An expansion was underway and each sides were extended by a scale of 1: 1/3 What is the new base area of the airport, in km^2? 6. Encik Sazali bought property A for RM500 000 in the year 2001 with a down payment of 15%. He also paid a legal cost equivalent to 1% of his property's principal amount, stamp duty of RM21 000 and agent's commission of RM17.000. He rented out his property beginning in 2010 as he bought a second property for RM750 000. In the year 2018, he sold his first property for RM900 000. The loan amount he still owed the bank was RM276 000 and the amount of money amortized to the bank was RM655 000. The total rent collected throughout the years 2010 to 2018 was RM115 200 and the property's maintenance fees incurred was RM24.000. Calculate the return on investment for his property. Interpret your answer in (i). How to improve the returns in (i)? State three specific solutions.
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