7:49 PM Sat Mar 21 * 98% 28. Marginal profit. The profit, in thousands of dollars, from the sale of x thousand candles can be estimated by Р (<) — 2х — 0.3x In x. a. Find the marginal profit, P (x). b. Find P (150), and explain what this number represents. c. How many candles (in thousands) should be sold in order to achieve a marginal profit of $750 per thousand candles? Social and Life Sciences 29. Forgetting. As part of a study, students in a psychology class took a final exam and then took equivalent forms of the exam at monthly intervals thereafter. After t months, the average score S(t), as a percentage, was found to be given by S(t) = 78 – 15 In(t + 1), 0 <1< 80. a. What was the average score when the students initially took the test? b. What was the average score after 4 months? c. What was the average score after 24 months? d. Find S (t). e. Find S (4) and S (24), and interpret the meaning of these numbers. 30. Walking speed. Bornstein and Bornstein found in a study that the average walking speed v, in feet per second, of a person living in a city of population p, in thousands, is v(p) = 0.37 In p+ 0.05. (Source: M. H. Bornstein and H. G. Bornstein, “The Pace of Life," Nature, Vol. 259, pp. 557–559 (1976).) a. The population of Seattle is 660,000 (p = 660). What is the average walking speed of a person living in Seattle? b. The population of New York is 8,550,000. What is the average walking speed of a person living in New York? c. Find v (660) and v (8550), and interpret the meaning of these numbers. d. The average walking speed in a city is 2.31 ft/sec. What is this city's approximate population?

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.