Is the following an exponential​ function? y=x^(3) Is y=x^(3) an exponential function?

Q: Suppose that $8000 is invested at an interest rate of 5.2% per year, compounded continuously. What…

A: Principal= P= $8000 Interest rate = 5.2%= 0.052 Final amount = double of 8000=16000

Q: Write an exponential regression equation for this set of data, rounding all coefficients to the…

A: we know the exponential equation: y=aebx Now, taking logarithm on both sides, we get ;…

Q: Suppose a study is completed that finds that the number of cockroaches in Chandler decreases by 18%…

A: Given: Initial population of cockroaches = 3.5 millions = 3500000  Rate of decrease = r=18%=0.18…

Q: sketch the shifted exponential curves

A: We have to sketch the shifted exponential curves: y=-ex and y=-e-x. We know the graph of ex and e-x,…

Q: Suppose that the number of bacteria in a certain population increases according to a continuous…

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Q: Find the effective rate of interest. For 6% compounded continuously

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Q: What are the  Exponential Curves?

A: Exponential curves is a function in which the variable appeares in theexponent and it grows…

Q: Find the First Derivative: y=log10(5x+3/5x-4)

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Q: What is the total amount of 4500 TL with 3,7 % continuously compound interest after 3 years?

A: Given Present value (P)= 4500 TL Rate (r)=3.7% Number of years (t)= 3

Q: Find the present value of $4000 payable at the end of 4 years, if money may be invested at 6% with…

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Q: Suppose the population of a certain bacteria in a laboratory sample is 100. If it doubles in…

A: The initial population of the bacteria is, P0=100. After every t=6, the population doubles. So, the…

Q: odine -131 has a half-life of approximately 8 days. ind the amount of iodine-131 left from a 100…

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Q: To get $800 after 212years at 8% compounded continuously

A: $800 after 212 years at 8% compounded continuously.

Q: The derivative of an exponential function isn't always another exponential function.

A: Derivative of an exponential function is given by :ddxef(x,y,z) = ef(x, y , z). ddxf(x, y , z)

Q: The average profit a local store owner earns on a given day is \$590$590 and is growing…

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Q: Consider a population of a certain country that is observed to grow exponentially. Based  from the…

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Q: Find the present value of $1000 payable at the end of 3 years, if money may be invested at 8% with…

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Q: A bird species in danger of extinction has a population that is decreasing exponentially A = A0ekt.…

A: Given A=A0ekt Initial population = 1400 when t = 0 after 5 years population is 1000

Q: 1) loga(3-1ogalx-)=2

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Q: The accumulated amount of P8000 is P10000 after 2 years, calculate the interest rate if it is…

A: The accumulated amount of $8000 is $10000 after 2 years,   We have to calculate the interest rate…

Q: A prestigious bank offers a CD that earns 4.15% interest compounded continuously. Say a CD is…

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Q: A quantity with an initial value of 980 decays exponentially at a rate of o.3% every decades. What…

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Q: Find the time needed to double an investment at 8% annual interest rate compounded continuously.

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Q: Suppose the rate of net investment is given by I (t) = Lnt, find the total capital accumulation…

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Q: The average profit a local store owner earns on a given day is \$120$120 and is growing…

A: given that average profit per day is $120 rate of growing is 76% per year we have to find profit…

Q: Suppose a study is completed that finds that the number of cockroaches in Chandler decreases by 18%…

A: Given the number of cockroaches decrease by 18% every 12 years. We first find an equation using the…

Q: Suppose a new mosquito-borne virus has emerged and has caused 550 cases to- date. The number of…

A: A = A0(e-kt)  Where , k = Rate , t = time

Q: Among various populations of plants or animals, diseases spread exponentially. Use the function…

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Q: What are some of the important characteristics of exponential functions?

A: We need to mention some characteristics of the exponential function. Let's begin.

Q: An investment earns 5.1% yearly interest compounded continuously and is currently growing at the…

A: Solution:Given    i=5.1%     n=1     A=765   To find P=?Formula:A=P(1+i)n

Q: Create two exponential functions that have a horizontal asymptote at y=3 and go through the point…

A: The solution is given below

Q: Jose invests $10,000 at 10% interest that is compounded continuously. Which is the value after 10…

A: We have to find compound amount

Q: Suppose the population of a certain bacteria in a laboratory sample is 100. If it doubles in…

A: We have to find the growth rate.

Q: Suppose that the half-life of a substance is 250 years. If there were initially 100 g of the…

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Q: If $4,000 is invested at 8% compounded continuously, graph the amount in the account as a function…

A: P=$4,000 , r=8%=0.08 Now by using compound interest formula for continuously compounding, we have…

Q: city of half a million, there are initially 400 cases of a particularly virulent strain of flu. The…

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Q: A bird species in danger of extinction has a population that is decreasing exponentially (A =…

A: Given population equation - A = A0ekt                ................(1)A0 = Initial Population =…

Q: Find the effective rate of interest for 10% compound continuously.

A: The continuous rate is calculated by raising the number "e" (approximately equal to 2.71828) to the…

Q: A quantity with an initial value of 590 decays exponentially at a rate such that the quantity cuts…

A: A quantity with an initial value of 590 decays exponentially at a rate such that the quantity cuts…

Q: When do we use the Chain rule in derivates of exponential function

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Q: proportional to A, weight W, and height H. A and W measurement values taken from different people…

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Q: A quantity with an initial value of 8200 grows continuously at a rate of 0.55% per decade. What is…

A: Initial Value=  8200. Growth rate= 0.55% . We can formulate the following equation for "t" years :…

Q: find the equation of the tangent line to the graph of the logarithmic function at the point (1,0)…

A: Given problem:- find the equation of the tangent line to the graph of the logarithmic function at…

Q: Suppose that a population that is growing exponentially increases from 800,000 people in 2010 to…

A: the exponential model is of the form, At=A0ekt where A0 original amount of the entity, t is the…

Q: The population of Brgy. Sta. Isabel starts with 1,000 individuals and triples every 50 years. (a)…

A: Solution:-

Q: Give 5 examples of derivative of exponential function with solution

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Q: what is the Derivative of Exponential Functions?

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Q: If $2000 is invested at 7.2% compounded continuously, graph the amount in the account as a function…

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: