Many lending agencies compound interest more often than yearly, and as we noted in Example P.2, they are required to report the annual percentage rate, or APR, in a prominent place on the loan agreement. Furthermore, they are required to calculate the APR in a specific way. If r is the monthly interest rate, then the APR is calculated using APR = 12 ✕ r. (a) Suppose a credit card company charges a monthly interest rate of 1.8%. What APR must the company report? (Round your answer to the nearest tenth of a percent.) % (b) The phrase annual percentage rate leads some to believe that if you borrow $5000 from a credit card company which quotes an APR of 21.6%, and if no payments are made, then at the end of 1 year interest would be calculated at 21.6% simple interest on $5000. How much would you owe at the end of a year if interest is calculated in this way? (Round your answer to the nearest cent.) $ (c) If interest is compounded monthly (which is common), then the actual amount you would owe in the situation of part (b) is given by $5000 ✕ 1.01812. What is the actual amount you would owe at the end of the year? (Round your answer to the nearest cent.)
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Many lending agencies compound interest more often than yearly, and as we noted in Example P.2, they are required to report the annual percentage rate, or APR, in a prominent place on the loan agreement. Furthermore, they are required to calculate the APR in a specific way. If r is the monthly interest rate, then the APR is calculated using APR = 12 ✕ r.
%
(b) The phrase annual percentage rate leads some to believe that if you borrow $5000 from a credit card company which quotes an APR of 21.6%, and if no payments are made, then at the end of 1 year interest would be calculated at 21.6% simple interest on $5000. How much would you owe at the end of a year if interest is calculated in this way? (Round your answer to the nearest cent.)
$
(c) If interest is compounded monthly (which is common), then the actual amount you would owe in the situation of part (b) is given by $5000 ✕ 1.01812. What is the actual amount you would owe at the end of the year? (Round your answer to the nearest cent.)
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