The following equation approximates the value of the U.S. Consumer Price Index (CPI) from December 2006 through July 2007: ?(?)=−0.04?3+0.4?2+0.1?+202  Where t is the time in months since the start of December 2006. Determine when inflation was speeding up and slowing down between the start of December 2006 and the start of July 2007.

Q: If a population is recorded at 1,200 in the year 2000 and the rate of increase is a steady 50 people…

A: Given date  Initial population Po=1200 in the year 2000 (t=0) Rate of increase is a steady =50…

Q: In 1991, the cost of mailing a 1 oz. first-class letter was 29 cents, and the inflation rate was…

A: We need to find out the year in which the cost of mailing a first class letter reach 60 cents.

Q: At a certain rate of compound interest, 1 will increase to 2 in a years, 2 will increase to 3 in b…

A: Let the compounded interest rate be x according to question 1(1+x)a=2            (1)…

Q: Let y represent the temperature (in °C) of an object in a room whose temperature is kept at a…

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other…

Q: In a particular very small region, the consumer price index, C, depends on the current value of…

A:

Q: One yardstick for measuring how steadily-if slowly-athletic performance has improved is the mile…

A: (a).       The function that express the record time for the mile run, M, in terms of number of…

Q: 4) How quickly is an airplane's elevation currently rising if its height (in feet) as a function of…

A: We need to find rate of change of elevation or rate of change of height when t = 4 sec Hence we will…

Q: A local retail store estimates that weekly sales s and weekly advertising costs x are related by the…

A: s=50,000-20,000e-0.0004x Differentiating with respect to t (time), we get…

Q: At what nominal rate compounded continuously must money be invested to triple in 7 years? ..... A…

A:

Q: With U.S. Department of Health and Human Services data from 2002 and projected to 2024, the total…

A:

Q: A bond is purchased for $1,000 that pays 6 percent of the purchase price annually. Is the amount…

A:

Q: An office building worth $4 million when it was completed in 2015 is being depreciated linearly over…

A:

Q: For the graphed exponential equation, calculate the average rate of change from x = -4 to x = 4.…

A: At x=-4 and x=4 the points are (-4,0) and (4, -5)  so, f(-4)=0 and f(4)=-5

Q: Suppose the quantity x of Super Titan radial tires made available each week in the marketplace is…

A: Given,

Q: Hello! I need help with this particular question on my study guide. There is an attachment below.…

A:

Q: Since January 1980, the population of the city of Brownville has grown according to the mathematical…

A:

Q: 3.Divers swimming at 7 meters below the surface found that the light level was 83% that of the…

A:

Q: Sung Lee invests $8,000 at age 18. He hopes the investment will be worth $24,000 when he turns 30.…

A: I am going to solve the given problem by using some simple algebra to get the required result of the…

Q: If a piece of machinery depreciates continuously at an annual rate of 4%, how many years will it…

A: To find: The number of years it will take for the value of machinery to halve. Concept used: The…

Q: A.F.D.C. was intended to provide mothers with enough to get by — barely — while raising their…

A: Given: Average monthly amount received by a family of three in 1970 = $194 Annual Amount received by…

Q: If one earthquake has a magnitude of 5 on the Richter scale and a second earthquake has a magnitude…

A: We have to determine the relationship between the intensities of the two earthquakes .

Q: A chemical factory tank stores an amount of liquid. After it has started to drain, it has a given…

A: Solution

Q: The following equation shows the approximate relationship between the percentage y of total personal…

A:

Q: Using U.S. Energy Information Administration data for selected years from 2010 and projected to…

A:

Q: If prices increase at a monthly rate of 3.4%, by what % do they increase in a year?

A: Annual increase = (((monthly increase+100)/100 )12 -1) 100 Hence Annual increase = ((103.4/100)12…

Q: In a particular very small region, the consumer price index, C, depends on the current value of…

A:

Q: For the function ?(?) = ?2 − 2? + 5, estimate for the instantaneous rate of change at x = 3. Round…

A:

Q: If the price of gold decrease at a monthly rate of 2.1%, by what percentage does it decrease in a…

A: If something is decreasing at 2.1% per month,then after 1 month we have 100%-2.1%=97.9%so after each…

Q: Suppose the quantity x of Super Titan radial tires made available each week in the marketplace is…

A: The quantity x of super Titan radical made made each week in market placeis…

Q: For the years from 2002 and projected to 2024, the national health care expenditures H, in billions…

A: H=1,500e^0.053t

Q: Answer the following as detailed as possible. 1. If the growth rate of a culture of bacteria is…

A: Let P is initial population of Bacterial, A is present population of bacteria in time t, We know…

Q: 10

A: We have, C(n) = (600+115n)/n = (600/n) + 115 So, C'(n) = - 600/n²

Q: According to one simplified model, the purchasing power of a dollar in the year 2000 + t is equal to…

A:

Q: If the growth rate of a culture of bacteria is proportional to the number of bacteria present and…

A:

Q: With U.S. Department of Health and Human Services data from 2002 and projected to 2024, the total…

A:

Q: The population of Barangay Siksikan is increasing at a rate of proportional to its current…

A: given: The population of Barangay Siksikan is increasing at a rate of proportional to its current…

Q: In a particular very small region, the consumer price index, C, depends on the current value of…

A: We will use the basic knowledge of differential calculus to answer this question correctly and…

Q: Suppose that a vending machine service company models its income by assuming that money flows…

A: Total money flows in 8 years=…

Q: Suppose, in an slightly more ideal world, that student loans never charged interest. If I have…

A: Given, interest charged = 0, Loan amount = $80,000, EMI = $500/month Number of months in a year = 12…

Q: A house sells for $81528 at the end of 2010 and for $161637 at the end of 2017.   If the market…

A:

Q: Predict the price sold at auction of a dresser made in 1865 (round to the nearest dollar.) If a pair…

A: Introduction: The response variable is the price at which the dresser is sold at auction, Y, and the…

Q: = diagram. 21 How much will Sam have to invest now in an F04.13 ployees' savings account at 7…

A:

Q: The production costs per week for producing xx widgets is given by, C(x) = 500+350x-0.09x² 0≤x≤1000…

A: Please follow the next step.

Q: A cheese manufacturer produces18,000 pounds of cheese from January 1 through March 24.Suppose that…

A:

Q: The average number of weekly social media posts varies jointly with the poster's yearly income (in…

A: Let the average number Of weekly post be ‘N’ Let yearly income be ‘I’ And age in years be ‘A’ The…

Q: Many people claim that as they get older, time seems to pass more quickly. Suppose that the…

A: We have given that perceived length of a period of times is inversely proportional to  age . We have…

Q: For the years from 2002 and projected to 2024, the national health care expenditures H, in billions…

A:

Q: If a number decreases from 88 to 11, what is the rate of decrease (as a %)?

A: A number decreases from 88 to 11

Q: A company selling widgets has found that the number of items sold z depends upon the price p at…

A: A company selling widgets has found that the number of items sold x depends upon the price p at…