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.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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123
where t = 0 represents the year 2000. In 1980, the
population was 215,000. Find the value of k and use
this result to predict the population in the year
2020. (Source: U.S. Census Bureau)
122. Radioactive Decay The half-life of radioactive
uranium II (234U) is 245,500 years. What percent of
the present amount of radioactive uranium II will
remain after 5000 years?
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.
124. Test Scores The test scores for a biology test
follow a normal distribution modeled by
y = 0.0499e-(x-71)²/128
where x is the test score.
(a) Use a graphing utility to graph the function.
(b) From the graph in part (a), estimate the average
test score.
pumber of words per minute N typed after t weeks
of lessons was found to be modeled by
157
N =
1 +5.4e-0.12r
neks necessary to type (a) 50
(a)
Transcribed Image Text:where t = 0 represents the year 2000. In 1980, the population was 215,000. Find the value of k and use this result to predict the population in the year 2020. (Source: U.S. Census Bureau) 122. Radioactive Decay The half-life of radioactive uranium II (234U) is 245,500 years. What percent of the present amount of radioactive uranium II will remain after 5000 years? 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. 124. Test Scores The test scores for a biology test follow a normal distribution modeled by y = 0.0499e-(x-71)²/128 where x is the test score. (a) Use a graphing utility to graph the function. (b) From the graph in part (a), estimate the average test score. pumber of words per minute N typed after t weeks of lessons was found to be modeled by 157 N = 1 +5.4e-0.12r neks necessary to type (a) 50 (a)
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