123 where t = 0 represents the year 2000. In 1980, thepopulation was 215,000. Find the value of k and usethis result to predict the population in the year2020. (Source: U.S. Census Bureau)122. Radioactive Decay The half-life of radioactiveuranium II (234U) is 245,500 years. What percent ofthe present amount of radioactive uranium II willremain after 5000 years?123. Compound Interest A deposit of $10,000 is madein a savings account for which the interest iscompounded continuously. The balance will doublein 12 years.(a) What is the annual interest rate for this account?(b) Find the balance after 1 year.124. Test Scores The test scores for a biology testfollow a normal distribution modeled byy = 0.0499e-(x-71)²/128where x is the test score.(a) Use a graphing utility to graph the function.(b) From the graph in part (a), estimate the averagetest score.pumber of words per minute N typed after t weeksof lessons was found to be modeled by157N =1 +5.4e-0.12rneks necessary to type (a) 50(a)

123.A deposit of $10,000 is made in a savings account for which the interest iscompounded…

Answered: 123. Compound Interest A deposit of…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section5.5: Exponential And Logarithmic Models

Problem 30E: The table shows the mid-year populations (in millions) of five countries in 2015 and the projected...

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The half-life of radioactive actinium ( 227AC ) is 21.77 years. What percent of a present amount of radioactive actinium will remain after 19 years?
The table shows the mid-year populations (in millions) of five countries in 2015 and the projected populations (in millions) for the year 2025. (a) Find the exponential growth or decay model y=aebt or y=aebt for the population of each country by letting t=15 correspond to 2015. Use the model to predict the population of each country in 2035. (b) You can see that the populations of the United States and the United Kingdom are growing at different rates. What constant in the equation y=aebt gives the growth rate? Discuss the relationship between the different growth rates and the magnitude of the constant.
New Equation of Change? The tax liability T in dollars, for a company that has an initial tax liability of 6200 is dTdt=0.02T. Here, t is time in years. What would be the equation of change for the tax liability if the initial tax liability were 7000?

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123. Compound Interest A deposit of $10,000 is made in a savings account for which the interest is compounded continuously. The balance will double in 12 years. (a) What is the annual interest rate for this account? (b) Find the balance after 1 year.