An economist predicts that the buying power B(x) of a dollar x years from now will decrease according to the formula B(x) = 0.94x. How much will today's dollar be worth in 4 years? Round the answer to the nearest cent.

Q: Sarah invested $1,200 in an account in the year 1996, and the value has been growing exponentially…

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Q: A manufacturer can produce sunglasses at a cost of $5 a piece. It is estimated that if the…

A: Capculation are as follows

Q: A bacterial population has an exponential growth rate of 11.2% per hour. If there were 480 bacteria…

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Q: The formula y=2.9√x+11 models the percent of U.S. adults who are considered obese by federal…

A: Here they ask to determine in which year obesity rate will be 18.7 percent Given equation is…

Q: A radioactive substance, calculusium, has a half life of 72 years. If the amount after 40 years is…

A: According to question given that A radioactive substance, calculusium has a half life of =72 years…

Q: The population of Glenbrook is 375,000 and is increasing at the rate of 2.25% per year. Predict when…

A: Given:The population of Glenbrook is 375,000 and is increasing at the rate of 2.25% per year.…

Q: In 1949, Washington was struck by a 7.1 magnitude earthquake on the Richter scale. It has been…

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Q: A bank account balance, in dollars, is modeled by the equation f (t) = 1000 - (1.08)*, where t is…

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Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.02 cm /…

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Q: The projected year-end assets in the Social Security trust fund, in billions of dollars, can be…

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Q: At 8:30 a.m., a coroner was called to the home of a person who had died during the night. In order…

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Q: The current population of a threatened animal species is 1.7 million, but it is declining with a…

A: Given:  The current population of a threatened animal species is 1.7 million, but it is declining…

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

A: Given: The equation of the number of items sold is x=700002p+1. Here, p is the price at which the…

Q: The current population of Allentown, Texas is 800 people. If the population is increasing at a rate…

A: the current population is P = 800 increasing rate r = 3% per year

Q: Suppose that the population in a small city is 34,000 in the beginning of 2014 and the city council…

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Q: The population of a bacteria colony triples every hour. If the initial population is 100 a) write an…

A: image is attached

Q: A bank account balance, in dollars, is modeled by the equation f(t)=1,000(1.08)t where t is measured…

A: To find: The number of years after which the account balance is doubled. Given: The function that…

Q: A family purchased a home for $150,000. Two years later the home was valued at $188,160. If the…

A: Initial value is a=150,000 Let the common ratio be r. So after two years the value is given by:

Q: One parcel of land is worth $100,000 now and is increasing in value at a rate of $3,000 per year. A…

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Q: You discover that the number of hours you sleep each night varies inversely as the square of the…

A: Given  Number of hours you sleep each night varies inversely as the square of the number of cups of…

Q: A truck was valued at $50, 000 in the year 2008. By 2014, the value had depreciated to $20,000. If…

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Q: The population of a strain of bacteria doubles every 20 minutes. Suppose there are 750 bacteria to…

A: The rate of growth of bacteria is given by P=A×rt, where P= final population at time t (in hours)…

Q: If a population has a growth rate of 7.5% per year, how long to the nearest tenth of a year will it…

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Q: An investment grows from $10,240 to $10,700.80 in one year. If the investment continues to grow at…

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Q: In 2001, a sum of $3000 was invested at a rate of 6.5% per year for 18 years. a) Write an equation…

A: Since nothing is mentioned about the type of interest provided, lets assume it to be simple…

Q: As of 1995, the human population was expected to double within 50 years. If we calculated r for the…

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Q: Choosing to commute to work by driving a hybrid vehicle will save $280 every six months in fuel. If…

A: Consider the given: If money is worth 7.3% compounded semi-annually, it means that the cost of money…

Q: Suppose that a car’s worth depreciates at a constant rate.  You bought the car in 2002 for $18,000…

A: Considering the years as x-axis and and cars worth as y-axis. Let 2002 be 0. Therefore,the given…

Q: The​ half-life of a certain tranquilizer in the bloodstream is 41 hours. How long will it take for…

A: The​ half-life of a certain tranquilizer in the bloodstream is 41 hours. Use the given exponential…

Q: The amount of solar power installed in the US can be modelled as M(x) = 15.45(1.46*) megawatts,…

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Q: In the year 1980, the city of Gumbolantenden had a population of 20,000. The population of…

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Q: The equation y=5x+3 represents an exponential function. How are the y-values related for points…

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Q: A car was valued at $38,000 in the year 2007. By 2013 , the value had depreciated to $11,000 If the…

A: Given that Cost of the car in 2007 = $38000 Cost of the car in 2013 = $11000 To find the rate of…

Q: Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars per carton) is…

A: Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars per carton) is…

Q: A bank account balance, in dollars, is modeled by the equation f(t)=1000⋅(1.08)^t, where t is time…

A: The account balance at any given amount of time is given by the equation ft=1000·1.08t. To find:…

Q: Food prices risen about 4% per year for the past five years. If a gallon of milk cost $x now, what…

A: A=P(1+r)t P is the current price

Q: Thanks to its environmental initiatives, Booneville has cut its annual CO2 emissions by 10%. This…

A: Given query is to find the CO2 produce after 3 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 200g sample of radioactive polonium-210 has a half-life of 138 days. This means that every 138…

A: Image is attached with detailed solution.

Q: The total fertility rate in a certain developing country can be modeled according to the equation f…

A: Given, f(x)=0.003x2-0.2x+6.48 Where x is the number of years since 1958.

Q: The year in which the oil import to the United States is greatest and also calculate the amount of…

A: Given: Crude oil imports to the United States from Mexico for 2009-2013 could be approximated by…

Q: The population of a bacteria colony triples every hour. If the initial population is 100 write an…

A:

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

A: Given equation is x=700004p+1. Due to inflection and increasing health benefits costs, company…

Q: In 2000, the population of Africa was 807 million and by 2011 it had grown to 1052 million. Solve,…

A: Given: In 2000, the population of Africa was 807 million and by 2011 it had grown to 1052 million

Q: A population of bacteria is growing according to the equation P(t)=1300e0.14tP(t)=1300e0.14t.…

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Q: An investment grows from $10,240 to 10,700.80 in one year. If the investment continues to grow at…

A: We will find out the required value of the time.

Q: The population of a town is increasing by 636 people per year. State whether this growth is linear…

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Q: Darren accumulated $9,000 in credit card debt. If the interest rate is 4.1% per year and he does not…

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Q: The half-life of a radioactive substance refers to the amount of time it will take for the quantity…

A: Assume the starting year to be 2015. According to the given information, N0=100t12=20

Q: Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon…

A: Given; A=Ao e^(-0.0001213)