nt The equation A = P + is used when calculating compound interest from investing P dollars at a rate of r% interest being compounded n times per year for t years. a. Consider an investment ofP = $1000, at a rate of 4% (r = 0.04), being invested for %3D t=25 years. Organize in a table (like shown to the right), the amount A of money n A earned, for each of the following compoundings-per-year: annually (n = 1), semi-annually (n = 2), quarterly (n = 4), monthly, %3D %3D daily, every hour, every second. You don't need to show me any 2 work for this, just make the calculations on a calculator and record the result organized in a table. b. What happens to A as the number of compoundings increase? What did you expect to happen? c. Instead of focusing on investments, consider the function y = (1+±) . Construct a table of values (like in part a) for the same values of n. What does y approach? What did you expect? п d. Use L'Hospital's Rule to evaluate lim (1+ n→∞

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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.