Arnie agrees to contribute $2,300 to the road fund at the end of each year for the next 11 years. Jack wants to match Arnie’s contribution, but he wants to make a lump-sum contribution today. If the current interest rate is 3.5% compounded annually, how much should Jack deposit to equal Arnie’s annual deposits? Hint: Find the value of the Arnie’s contributions at the end of 11 years and then find present value needed for the future value of Jack’s contributions to match Arnie’s. Show the formula(s) you used with the values filled in and 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.
- Arnie agrees to contribute $2,300 to the road fund at the end of each year for the next 11 years. Jack wants to match Arnie’s contribution, but he wants to make a lump-sum contribution today. If the current interest rate is 3.5% compounded annually, how much should Jack deposit to equal Arnie’s annual deposits? Hint: Find the value of the Arnie’s contributions at the end of 11 years and then find present value needed for the future value of Jack’s contributions to match Arnie’s. Show the formula(s) you used with the values filled in and round your answer to the nearest cent.
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