A stock had annual returns of 5.1 percent, 12.2 percent, −3.8 percent, and 9.4 percent for the past four years. The arithmetic average of these returns is percent while the geometric average return for the period is percent.

5.725%; 5.55%

Explanation:

The arithmetic average or mean is the sum of a collection of numbers that is divided by the count of the numbers in the collection.

Arithmetic average = Total return ÷ total time period

=(5.1+12.2-3.8+9.4) ÷ 4

= 22.9 ÷ 4

= 5.725%

Geometric average will be:

=[(1+rate1)(1+rate2)(1+rate3)(1+rate4)]^(1/4) - 1

=[(1+0.051)(1+0.122)(1-0.038)(1+0.094)]^(1/4)-1

=5.55%

answer; i believe the correct answer is (75 years);

a recipe serves 8 people, and calls for 5 lbs of apples and 2 cups of flour. you want to prepare it for 24 people. divide 24 by 8 to get 3, and then multiply your ingredients by 3.

so for 24 people, you'll need 15 lbs of apples, and 6 cups of flour.