The function $ P(a) = -1.38a^2 + 60.03a + 3289.1 $ represents the population (in thousands) of residents in a certain country that are $ a $ years of age.Tasks:(a) Identify the dependent and independent variables.(b) Evaluate $ P(40) $. Provide a verbal explanation of the meaning.(c) Evaluate $ P(0) $. Provide a verbal explanation of the meaning.---Solutions:(a) The dependent variable is population, and the independent variable is age.(b) Evaluate $ P(40) $\[ P(40) = \_\_\_ \text{ thousand} \] (Type an integer or a decimal)(Note: The answers for evaluating $ P(40) $ and $ P(0) $ are not provided in the image and need to be calculated based on the function.)

Answered: Image /qna-images/answer/a8aaf6d5-42c5-4c50-bc09-e1fdc1d41e8e.jpg

Answered: The function P(a) = -1.38a²+ 60.03a +…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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(x) = {K(x* = k(x² – x), if 1
Population: Since birth rates are going down and people are living longer, the percent of the population that is 65 years old or older continues to rise. The percent of the U.S. population P that is at least 65 years old can be approximated by the equation P = 3.79(1.013), where t represents the number of years since 1900. (a) What percent of the population will be 65 years of age or older in the year 1999? Round the answer to 2 decimal places. Number % (b) Predict the year in which people ages 65 or older will represent 26% of the population if this trend continues. Number
A company's average cost per unit when x units are produced is defined to be Total cost Average cost = X Suppose a company's average costs are given by 5000 Average cost = + 55+ 0.9x. X (a) Write the expression that gives the company's total costs. (b) Find the average cost per item of 200 items. Round answer to the nearest penny. $
P₁ = 2,754 0.55D; 2.52C; +252G; + 576PE; + 1,750F; (0.12) (1.1) (135) (200) (450) P₁ = Annual employee health insurance contribution, in real $ D₁ = Annual plan deductible, in real $ C₁ = Copayment amount for outpatient care visit, in real $ G₁ = Gender of employee (G₂ = 1 if female) PE₁ = Dummy for pre-existing condition (PE; = 1 if yes) F₁ = Dummy for family plan (F; = 1 if yes) Use the information above to answer the following question: Interpret the meaning of the estimated coefficient on D₂ where: O The coefficient tells us that increasing the plan's deductible by $1 leads to a reduction in premiums of $55, all else held constant. O The coefficient tells us that increasing the plan's deductible by $1 leads to a reduction in premiums of $2.52, all else held constant. The coefficient tells us that increasing the plan's deductible by $1 leads to a reduction in premiums of $0.55, all else held constant. O The coefficient tells us that increasing the plan's deductible by $1 leads to a…
B to Match each equation with a graph above 2(1.16)* a. red (R) 2(1.46)" b. green (G) 3(1.16)* с. blue (B) 2(0.66)" d. orange (0) 2(0.85)* e. black (K)
Children in Preschool and Kindergarten :: Based on data provide by the Census Bureau, the number of American children age 3 to 5 years enrolled in preprimary school (preschool and kindergarten) can be modeled by the function p(y) = 121.46y + 5231.31, where p represents the number of children enrolled (in thousands) and y is the number of years since 1980. Evaluate p(27). Explain what the numerical answer represents in its real-world context.
The yearly profit, "P" of your store can be estimated by the function P(n)=15n-45,000 where "n" is the number of items you sell per year, and P is measured in dollars. A) what is your estimated profit if you sell 5,280 items this year? B) Estimate the number of items you must sell to make $150,000 profit? C) Estimate the number of items you must sell to break even ($0 profit)
p(A) =0.36 p(B)=0.50 a( A|B) =0.3689 find out p( a and b)
Change (1): Translated lup Change (2): Iranclatedright 5. g(x)- -4 -2 2. 4. Change:

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