Problem 39
Multiple choice The gross domestic product, or GDP, of the United States was about \(\$ 10.99\) trillion in 2003 . Assume that GDP grows 3.1\(\%\) each year. Use an exponential model to find which percent best describes the GDP growth that occurs over 18 years. a. 19.0\(\%\) b. 74.7\(\%\) c. 129.1\(\%\) d. 173.2\(\%\)
Problem 40
For each function, find the percent increase or decrease that the function models. $$ y=0.8\left(\frac{1}{8}\right)^{x} $$
Problem 41
An investor withdraws all \(\$ 525\) from an account that was neglected for 8 years. It earned 3.4\(\%\) annual interest, compounded continuously. How much was the initial deposit?
Problem 41
Use your calculator to evaluate each logarithm to four decimal places. Then find the largest integer that is less than the value of the logarithm. $$ \log 5 $$
Problem 45
Solve each equation. $$ \log 5-\log 2 x=1 $$
Problem 46
For each annual rate of change, find the corresponding growth or decay factor. $$ +70 \% $$
Problem 47
For each annual rate of change, find the corresponding growth or decay factor. $$ +500 \% $$
Problem 48
For each annual rate of change, find the corresponding growth or decay factor. $$ -75 \% $$
Problem 49
For each annual rate of change, find the corresponding growth or decay factor. $$ -55 \% $$
Problem 53
For each annual rate of change, find the corresponding growth or decay factor. $$ +100 \% $$