10. The cost of a gallon of gasoline was $0.21 in 1945 and it increased exponentially to a price of $2.60 in 2021. a. Write an exponential function that models the price of gasoline after the year 1930. (for 1930, use t = 0). Pct)=

Q: Suppose that $19,282 is invested at an interest rate of 5.3% per year, compounded continuously. a)…

A:

Q: Suppose that ​$14,722 is invested at an interest rate of 6.8​% per​ year, compounded continuously.…

A: Given invest money = $14722   Interest rate r = 6.8% per year   Part (a):   The compound interest…

Q: If the rate of inflation is 2.2% per year, the future price p(2) (in dollars) of a certain itern can…

A: we have been given the exponential model of the future price p(t) of a certain item by the function…

Q: Suppose you purchase an iphoneX for $720 when it initially launched. The resale value decreases…

A: Given,          Suppose you purchase an iPhone X for $720 when it initially launched. The resale…

Q: If the rate of inflation is 2.2% per year, the future pricep(t) (in dollars) of a certain item can…

A:

Q: 36. (a) How long does it take for an investment to triple in value if it is invested at 6%…

A:

Q: In 2000, the population of a country was approximately 6.37 million and by 2060 it is projected to…

A:

Q: (in dollars) of a certain item can be modeled by the following exponential function, where  t  is…

A:

Q: The population of Deweyville, TX was 1,220 in 1990 and 1,183 in 2010. Assuming that the ulation is…

A: Given the query is to find the time when population will be 700

Q: Determine, to two decimal places, the base b for an exponential model y = Abt of the rate of auto…

A:

Q: Suppose y = ceka is an exponential function that has the points (0.3,5) and (12.9,18.7) on its…

A:

Q: The projected value of an investment is modeled by the exponential function V(t) = 25,000(1.115)t,…

A:

Q: Suppose that $15,903 is invested at an interest rate of 5.2% per year, compounded continuously. a)…

A:

Q: 22) The following exponential function represents the growth or decay of a bacterial population, P,…

A:

Q: If the rate of inflation is 2.2% per year, the future pricep() (in dollars) of a certain item can be…

A: Given: Pt=6001.022t For finding price of the item 5 years from today, we put t=5 in given expression

Q: Suppose that $17,668 is invested at an interest rate of 6.1% per year, compounded continuously. a)…

A:

Q: 35. (a) How long does it take for an investment to double in value if it is invested at 8%…

A: Formula for amount if interest is compounded periodically is given as: A=P1+rnnt, where A is future…

Q: If the rate of inflation is 2.2% per year, the future price p (1 (in dollars) of a certain item can…

A: Definition used-      Exponential function -                P(t)=P(1+r)t                Here P…

Q: the rate of inflation is 3.7% per year, the future price p (t) (in dollars) of a certain item can be…

A: We have to find current price and price 10 from today

Q: Assume that you start with 3000 units of some quantity Q. Construct an exponential function that…

A: (a) It is given that the initial amount of quantity is 3000 units. Obtain an exponential function…

Q: If the rate of inflation is 2.5% per year, the future price p)(t) (in dollars) of a certain item can…

A: We have to just substitute suitable values of t in the given exponential function p(t). The solution…

Q: Suppose that the future price p(t) of a certain item is given by the following exponential function.…

A:

Q: If the rate of inflation is 3.4% per year, the future price p () (in dollars) of a certain item can…

A:

Q: A certain stock was purchased at $42. The stock decreases by 5% each year. Express this as an…

A:

Q: The amount of carbon 14 present after t years is given by the exponential equation A(t) = A, e kt…

A:

Q: Given the general equation of an exponential relation, y = a*, in your own words, describe how you…

A: In a exponential decay equation, y decreases as x increases and in a exponential growth equation y…

Q: If the rate of inflation is 2.8% per year, the future price p (t) (in dollars) of a certain item can…

A: Here the rate of inflation is 2.8% per year The future price p(t) (in dollars) of a certain item can…

Q: Most population growths can be modeled by the exponential​ function:   P(t) = aert where t…

A: Given: i. In the year 1977, a particular population of people was 3046.ii. In the year 1987, a…

Q: If the rate of inflation is 3.9% per year, the future price p (t) (in dollars) of a certain item can…

A:

Q: The population of a dying town follows the exponential law: p(t) = Poekt where Po and k are…

A: topic - exponential function

Q: number of Android smartphone users has grown exponentially since it was first introduced to the…

A: Given query is to find the expression for number of users after 2010 then find the time when it…

Q: See attached

A: Find the required values of p(t), by substituting the correct values of t

Q: A computer, orginally purchased for $2000, loses value according to the exponential function V =…

A: Given information: The exponential equation of the computer at time t in years. V(t)=200012th, where…

Q: 16. The world population in 1975 was approximately 4 billion, and was determined to be growing…

A: Given: The population growth function is ft=4e0.019t, where t is the number of years. To find: The…

Q: 22. (a) How long will it take an investment to double in value if the interest rate is 6% compounded…

A:

Q: When an antibiotic is introduced into a culture of 50,000 bacteria, the number of bacteria decreas…

A:

Q: If the rate of inflation is 1.9% per year, the future price p (t) (in dollars) of a certain item can…

A:

Q: 8. The number of women graduating from 4-year colleges in the United States grew from 49,000 in 1930…

A:

Q: If the rate of inflation is 2.2% per year, the future price p () (in dollars) of a certain item can…

A: pt=6001.022t Put t=5 in pt=6001.022t, we get p5=6001.0225=668.9685≈$669 Put t=10 in pt=6001.022t, we…

Q: Suppose that the future price p (t) of a certain item is given by the following exponential…

A:

Q: 4. The amount of caffeine in a person's body follows an exponential function, as do many drugs. The…

A: Find the value for k in the exponential function.

Q: In 2000, the population of a country was approximately 6.37 million and by 2060 it is projected to…

A:

Q: Suppose that the dollar value v (1) of a certain house that is / years old is given by the following…

A:

Q: Suppose that $19,419 is invested at an interest rate of 6.3% per year, compounded continuously. a)…

A:

Q: a.How long will it take an investment to double in value if the interest rate is 4% compounded…

A: Given query is to find the time taken to double the investment.

Q: The population of the world in 1986 was 5.23 billion and was growing at a rate of about 1.77% per…

A:

Q: The population of bacteria on a doorknob at 1 PM was 20 and 30 minutes later grew to 500. a. Write…

A:

Q: Suppose y = ceka is an exponential function that has the points (3.1,4.8) and (14.3,16.6) on its…

A:

Q: The number of bunnies at Long Beach City College is around 2,500. Assuming that the population grows…

A:

Q: If the rate of inflation is 2.8% per year, the future price p(t) (in dollars) of a certain item can…

A: An exponential  is defined as a function whose value is a constant raised to the power of the…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.