Problem 41
Evaluate each expression using the values provided. \(2 c \div 3 b,\) for \(b=2\) and \(c=6\)
Problem 43
Write a problem for a classmate to solve for which fractions must be multiplied in order to get the answer.
Problem 45
Investing. Eliana has \(\$ 2600\) to invest for 6 months. If she needs the money to earn \(\$ 104\) in that time, at what rate of simple interest must Eliana invest?
Problem 46
Banking. Chuma plans to buy a two-year certificate of deposit (CD) that earns \(4 \%\) simple interest. If he needs the CD to earn \(\$ 150,\) how much should Chuma invest?
Problem 48
Simplify and write scientific notation for the answer. Use the correct number of significant digits. $$\frac{1.26 \times 10^{9}}{4.2 \times 10^{-3}}$$
Problem 48
The height and sides of a triangle are four consecutive integers. The height is the first integer, and the base is the third integer. The perimeter of the triangle is 42 in. Find the area of the triangle.
Problem 48
Write an equivalent expression without negative exponents and, if possible, simplify. $$ 9 x^{-4} $$
Problem 49
Simplify to form an equivalent expression by combining like terms. Use the distributive law as needed. $$ 3 p-4-2(p+6) $$
Problem 49
To the student and the instructor: Throughout this text selected exercises are marked with the icon Ahal. Students who pause to inspect an Ahal exercise should find the answer more readily than those who proceed mechanically. This may involve looking at an earlier exercise or example, or performing calculations in a more efficient manner. Some Ahal exercises are left unmarked to encourage students to always pause before working a problem. Evaluate each expression using the values provided. \([5(r+s)]^{2},\) for \(r=1\) and \(s=2\)
Problem 53
Find the opposite, or additive inverse. $$ 2.37 $$