A state lottery commission pays the winner of the Million Dollar lottery 40 installments of $25,000/year. The commission makes the first payment of $25,000 immediately and the other n = 39 payments at the end of each of the next 39 years. Determine how much money the commission should have in the bank initially to guarantee the payments, assuming that the balance on deposit with the bank earns interest at the rate of 3%/year compounded yearly. Hint: Find the present value of the annuity. (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.
A state lottery commission pays the winner of the Million Dollar lottery 40 installments of $25,000/year. The commission makes the first payment of $25,000 immediately and the other n = 39 payments at the end of each of the next 39 years. Determine how much money the commission should have in the bank initially to guarantee the payments, assuming that the balance on deposit with the bank earns interest at the rate of 3%/year compounded yearly. Hint: Find the present value of the annuity. (Round your answer to the nearest cent.)
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