A 35-year-old teacher is offered an opportunity to invest some money in a retirement account that pays 7% annual interest compounded continuously. How much does the teacher need to invest today to have 1 million pesos when she retires at age 60?
1. A 35-year-old teacher is offered an opportunity to invest some money in a retirement account that pays 7% annual interest compounded continuously. How much does the teacher need to invest today to have 1 million pesos when she retires at age 60?
2. Suppose newly-baked cupcakes are taken out of the oven, set at 100 degrees. The room temperature is found to be 25 degrees, and in 15 minutes, the cupcakes are found to have a temperature of 50 degrees. Determine the approximate temperature of the cupcakes after 30 minutes.
3. The rate of decay of radium is said to be proportional to the amount of radium present. If the half-life of radium is 1790 years and 250 grams on hand now, how much radium will be present in 950 years?
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