When a ping pong ball is dropped, it rebounds to 85% of its original height. If the original height is 8 ft, find a formula for an.  Which represents the maximum height of the ball before the nth bounce.

Q: An employee at a particular company can expect to get a $1,500 raise each year.  If Jeff has been…

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Q: An oil company bores a hole 80m deep. Estimate the cost of boring if the cost is £30 for drilling…

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Q: A new car is purchased for $26,000 and over time its value depreciates by one half every 7 years.…

A: let P=$26000 n=7 years value A after 7 years =$13000(according to question) by using this formula we…

Q: A certain computer loses half of its value every two years. If the value of the computer after 3…

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Q: Find a positive number such that the sum of the number and its reciprocal is as small as possible.

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Q: A town has a population of 14000 and grows at 5% every year. What will be the population after 14…

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Q: In a lab experiment, 4600 bacteria are placed in a petri dish. The conditions are such that the…

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Q: A patient is adminstered a dose of 50 mg of a drug. If the body naturally disposes of 3% of the drug…

A: Amount of drug administered: 50mg Rate of decrease of drug every hour=3% To find amount of drug left…

Q: A town has a population of 17000 and grows at 4% every year. What will be the population after 12…

A: Pi = Initial population of the townR = Yearly rate of increase of population T = Time in…

Q: S is 4 years older than J. 8 years ago, s was twice as old than J. What are the ages of S & J?

A: Let the age of S be x years, then the age of J is (x - 4) years, because S is 4 years older than J.

Q: An investor invests 5000 dollars at 10% and the rest at 5%. How much was invested at 5% if the yield…

A: An investor invests 5000 dollars at 10%, which is one-fifth of the amount.

Q: for january 1, 2001 to january 1, 2008, the population of florida grew from 17 million to 19.3…

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Q: A certain culture of the bacterium rhodobacter sphaeroides initially has 22 bacteria and is observed…

A: Solved below

Q: A town has a population of 14000 and grows at 3% every year. What will be the population after 14…

A: To find  the solution,  we will use formula.

Q: One earthquake has magnitude 3.9 on the MMS. If a second earthquake has 600 times as much energy as…

A: The expression to calculate the magnitude of the earthquake is, M=23 log10EE0⋯⋯⋯1 Given, the first…

Q: The rate of fingernail growth depends on many factors, but in adults, nails grow at an average rate…

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Q: If a bear runs at 20 mph for 3 mins. and a human runs at 10 mph for 3 mins. show the formula needed…

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Q: The rate of fingernail growth depends on many factors, but in adults, nails grow at an average rate…

A: To determine the equation for the nails growth over the month

Q: A town has a population of 20000 and grows at 4.5% every year. To the nearest tenth of a year how…

A: Let the population of town at time t is given by: P(t) Therefore: P(0) = 20000 Growth rate is: r =…

Q: The gross domestic product, G, of Switzerland' was 685.4 billion dollars in 2013. Give a formula for…

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Q: A new car is purchased for $42,000 and over time its value depreciates by one half every 7 years.…

A: According to the given information it is required to find the time it will take for the amount…

Q: Suppose the value of a car V is related to the number of years since its purchase by the formula V =…

A: Here the value of car  is given V = 25000-2100n After 5 year then n = 5

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A: We will find the value of h and the population in 2023.

Q: A runner is participating in a 10.7mile race. If the runner stopped at a water station that is twice…

A: The total distance of the race is 10.7 miles. It is given that, the runner stopped twice as far from…

Q: The population of a country doubles in 50 yrs. How many years will it be 7 times as much?

A: The population of country becomes double in 50 years.

Q: Find a formula for the exponential function passing through the points (-3, 27) and (3, 54). y =

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Q: A new car is purchased for $33,000 and over time its value depreciates by one half every 4 years.…

A: Ao=Initial value of the car At= Value of the car after "t" years Given: Cost of the new car…

Q: The bacteria in a petri dish grow in a manner such that each day the number of bacteria doubles. On…

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: An oil company bores a hole 80m deep. Estimate the cost of boring if the cost is £30 for drilling…

A: The cost of drilling the first meter is £30, The cost of drilling the second meter is £30 +£2 = £32…

Q: Find a formula for the exponential function passing through the points (-3,5/27) and (3,135)

A: The objective is to find the exponential function

Q: Find the equation of the exponential function, of the form ? = ?? x , that contains the following 2…

A: The exponential function is of the form y = abx.

Q: Find a formula for the exponential function passing through the points (-3,,) and (1,10) y =

A: Given a function passing through the points (-3,58) and (1,10) we know the general form of the…

Q: A new car is purchased for $25,000 and over time it’s value depreciates by one half every 5.5 years.…

A: Given that initial value = $25000 The value depreciates by one half every 5.5 years So the…

Q: The local govemment projects that the town will grow at a constant rate of nineteen percent per…

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Q: A town has a population of 12000 and grows at 4% every year. To the nearest year, how long will it…

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Q: The population of a country doubles in 81 yrs. How many years will it be five times as much?

A: Let 'P' be the number of population then dPdt = KP∫dPP =∫ KdtIn P = Kt +c ......(1)When t = 0  ; P =…

Q: Suppose you drop a tennis ball from a height of 25 feet. After the ball hits the floor, it rebounds…

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: Student A is 35yrs old now. 3 yrs ago, student A  was 4 times as old as Student B. how old is…

A: Given, student A is 35yrs old and 3 yrs ago, student A  was 4 times as old as student B To find the…

Q: If the population of a certain county was 100,000 in 1998 and 110,597 in 2008 and the formula…

A: We know that the exponential growth is a process of increase in a quantity with time. The population…

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: A town has a population of 14000 and grows at 4.5% every year. To the nearest tenth of a year, how…

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Q: Your speedometer reading is 45 mph, but your tires are larger than factory-installed tires.  The…

A: Given : speedometer reading is 45 mph

Q: Find a formula for the exponential function passing through the points (-1, 5252) and (3, 40).y =

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Q: Suppose a population of bacteria in a Petri dish has a doubling time of 6 hours. How long will it…

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Q: Find a formula for the exponential function passing through the points (-1, and (2, 80). y =

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Q: The halflife of Radium-226 is 1590 years. If a sample contains 500 mg, how many mg will remain after…

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Q: The population of Mickey Village is 48,000 today.  Every other year the population increases by…

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Q: A ball is dropped from a height of 15 ft and bounces 77 % of its previous height on each bounce. How…

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Q: Find a positive number such that the sum of the number and its reciprocal is as small as possible

A: Second Derivative Test :   Firstly find critical point of f(x).i.e, f'(x)=0 and find the value of…

Q: If the population of a certain county was 100,000 in 1998 and 110,693 in 2008 and the formula y =…

A: Given Population of country in year 1998 is 100,000 and Population of country in year 2008 is…