15. Carbon 14, or 14C, has a half-life of 5730 years. This means that after 5730 years, a sample of Carbon 14, which is a radioactive isotope of carbon, has lost one half of its original radioactivity. (a) The decay rate of Carbon 14 is proportional to the amount left at that time. State the appropriate differential equation to model its decay. Then solve the differential equation to derive the exponential decay function of Carbon 14. Use decay constant k and initial amount yo- (b) Using the stated half-life, calculate the decay constant k. Round to two significant digits (5 decimal places). (c) An old sample is discovered and found to contain 0.2% of the Carbon 14 when compared to a similar current sample. How old is the discovered sample? Round your answer to 2 decimal places.
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.
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