3(1 + 10*) = 8 (a) Find the exact solution of the exponential equation in terms of logarithms.

Q: 3. An account with an initial deposit of $6,500 earns 7.25% annual interest, compounded…

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Q: Two quantities increase exponentially with growth constants k = 1.2 and k = 3.4, respectively. Which…

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Q: Ten thousand dollars is invested at 6.5% interest compounded continuously. When will the investment…

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Q: Totsakan invests $8,151 in a savings account with a fixed annual interest rate of 6.47% compounded…

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Q: The half-life of a substance is 1200 years. If the initial amount of the substance is 300 grams,…

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Q: The population of bacteria cells in a dish grows exponentially at a rate of 5% per hour. If there…

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Q: A bacteria culture starts with 1,500 bacteria and doubles in size every 4 hours. Find an exponential…

A: Given:- A bacteria culture starts with 1,500 bacteria and doubles in size every 4 hours. To Find An…

Q: $13,000 is deposited into a savings account with an annual interest rate of 3% compounded…

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Q: 9. A culture grows continuously at a rate of 6% per day. If there were 500 organisms initially,…

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Q: An investment offers 5% interest compounded continuously. What is the amount of interest earned in…

A: P be the principal, r be the rate of interest, A be the amount after time t years

Q: 7. Without using technology, solve the equation: log(x + 10) – log(x - 5) = 2 %3D

A: The given equation is: log (x+10)-log(x-5)=2

Q: 2. A person invests $2,125 in an account earning 9% per year compounded continuously. How much will…

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Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After…

A: After 3 hours, there are 100 bacteria, and after 5 hours, there are 400 bacteria. Let the…

Q: How long will it take for $4,000 to grow to $9,000 if the investment earns an interest rate of 2%…

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Q: A saving account deposit of $150 is to earn 6.5% compounded continuously. What amount should have…

A: Use the formula for the compound interest and substitute the given values than simplify.

Q: Show that a radioactive substance which exponentially decays to 20% of its initial value after 8…

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Q: Acell population grows exponentially beginning with one cell. Which takes longer: increasing from…

A: Note that increasing from one to two cells means the population should be doubled. On the other hand…

Q: A population is growing exponentially with growth constant .04. In how many years will the current…

A: Exponential model is Pt=P0ekt Where Pt=Population at any time 't' P0=Initial population t= time…

Q: A) The population of beavers in a valley doubled between the years 2000 and 2015. Assuming that the…

A: A) The exponential growth function is as follows. Nt=N0ert Let t=0 represents the year 2000 and t=15…

Q: 2) Carbon-14 decays or emits a radioactive particle at a regular and consistent exponential rate and…

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Q: A certain quantity Q has initial value 200 and decays by 30% each year. Give an exponential function…

A: Given that, Initial value (a) = 200 Rate of decay (r) = 30%

Q: popultaion of a southern city folow exponential law.  if the population doubled in size over 14…

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Q: test the effectiveness of a carbon monoxide (CO) alarm, a company begins a controlled experiment…

A: Given test the effectiveness of a carbon monoxide (CO) alarm, a company begins a controlled…

Q: A culture of a certain bacterium grows according to the law of exponential growth. If there were 130…

A: 1. The exponential growth is given by the where N(t) is the no of insects at a time t .N0 is the…

Q: 2. Suppose a population of insects increases according to the law of exponential growth. There were…

A: We will solve the problem

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After…

A:

Q: A population starts with 2,500 individuals and doubles every 40 years. Give an exponential model for…

A: The initial population is 2500. It gets doubled every 40 years. So after 40 years the population…

Q: 4. A deposit of $2000 is invested in an account that earns 4.5% interest. Write the equation and…

A: Amount after 't' years: A = Pert

Q: 1. The amount of a certain medicine in the bloodstream decays exponentially with a half- life of 5…

A: Here, given that the amount of certain medicine in the bloodstream decays exponentially with a…

Q: $3,900 is invested with a 5.4% APR compounded continuously. What is the value of the investment…

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: At time t = 0, 650 bacteria are in a petri dish, and this amount triples every 13 days. How many…

A: Since you have posted multiple questions in this question i can do first question as per our company…

Q: An extremely large flywheel in a generator is rotating at 1980 revolutions per minute at full power.…

A: Initial power of flywheel No=1980 rev/min After 8 minutes,N=1564 rev/min

Q: The exponential equation describing the population at any time t with an initial population 2000 and…

A: Given,          The exponential equation describing the population at any time t with an initial…

Q: A woman invests $6400 in an account that pays 6% interest per year, compounded continuously. (a)…

A: To find the Final amount by using Compound interest, the following formula can be used…

Q: If the population of a country is 100 million people and the population is increasing exponentially…

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Q: A city has 1000 individuals and its population doubles every 60 years. Give an exponential model for…

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Q: A colony of bacteria is grown under ideal conditions in a laboratory so that the population…

A: Exponential functiony= a bx a is the initial population

Q: A patient takes a 300 mg tablet for the control ofhigh blood pressure every morning at the same…

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Q: A population numbers 11,000 organisms initially and grows by 8.5% each year. Write an exponential…

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Q: The half-life of carbon-14, 14C, is approximately 5,730 years. A bone fragment is estimated to have…

A: to solve the given problem

Q: 1. You invest $200 at 10% annual interest compounded continuously. How much do you have after 5…

A:

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After…

A:

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After…

A: Growth of the bacteria can be obtained by the formula,

Q: 2 Find the exponential equation whose graph passes through the points (-2, 5 and (1,10)

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Q: How long does it take an investment to triple at an annual interest rate of 6.45% compounded…

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Q: A certain quantity Q has an intitial value of 13 and decays by 4% each year.  Give an exponential…

A: Given: A certain quantity Q has an initial value of 13 and decays by 4% each year. To determine: An…

Q: The half-life of carbon-14, 14C, is approximately 5,730 years. A bone fragment is estimated to have…

A: Let the exponential decay equation be A=A0ekt, where A is the amount (in mg) of carbon-14 remaining…

Q: At what constant, continuous rate must money be deposited into an account if the account is to…

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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.