Find the weighted mean. 3.If somebody invests P15,000 at 7 percent, P20,000 at 10 percent, and P 30,000 at 8 percent,what is the average return on these investments?Solution:

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Answered: 3.If somebody invests P15,000 at 7…

Intermediate Algebra

10th Edition

ISBN:9781285195728

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter2: Equations, Inequalities, And Problem Solving

Section2.S: Summary

Problem 8S: What interest rate would you need to get to double an investment of 200 in eight years?

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Question

Find the weighted mean.

3.If somebody invests P15,000 at 7 percent, P20,000 at 10 percent, and P 30,000 at 8 percent,
what is the average return on these investments?
Solution:

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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