1. Given the equation, y = 30(1.25- 5)^x; does it represent growth or decay? What is the rate of growth or decay? * O decay and 0.75 decay and 0.5 O growth and 1.25 O growth and 0.75 decay and 1.25 growth and 0.5 Other:

Q: Give the starting value ?, the growth/decay rate ?, and the continuous growth/decay rate ?. If there…

A: rate, r = dQ/dt Q = 0.191*e0.24t Starting value, Put t = 0 Q(t)       = 0.191*e0.24*0Q(t=0) =…

Q: What roles do the functions ex and ln x play in growth comparisons?

A: Given:

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

A:

Q: 2. Suppose that the half-life of a substance is 250 years. If there were initially 100 grams of the…

A:

Q: Suppose that fis an exponential function with percentage decay rate of 5% and that f(0) = 9. Find a…

A:

Q: Initially 200 millions of radioactive substance was present. After 12 hours the mass has decreased…

A:

Q: Find the effective rate of interest.; For 4% compounded continuously

A: 4% compounded continuously.

Q: The rate of decomposition of radioactive radium is proportional to the amount present at any time.…

A:

Q: If the national debt of a country (in trillions of dollars) t years from now is given by the…

A: Given data:   The expression for the national debt of a country is N(t)=0.5+1.5e0.0t. The given time…

Q: 1. The rate of increase of a certain population of a barangay is proportional to the population. If…

A:

Q: Suppose that tis an exponential tunction with percentage growth rate of 9%% and that (0) = 5. Find a…

A: We have given that function f(x) has a growth rate 9 % and initial value of the function at x=0 is 5…

Q: 8. A population of ducks grew from 420 to 8000 in 6 years. If the population growth is linear, what…

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: Suppose that an equation for investments and savings is described by an exponential function: Where…

A: Given information: An equation for investments and savings is described by an exponential function.

Q: al Intal 5. What is the annual percentage yield for money invested at an annual fate UI 0.0820…

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Q: create 2 sample word problems of derivative of exponential and logarithmic functions with solutions

A:

Q: What rate of interest compounded continuously will yieldan effective interest rate of 6%?

A: It is given that, the effective interest rate is 6%. re=6%=0.06

Q: A company is considering expanding their production capabilities with a new machine that costs…

A:

Q: Consider the constant rate of depreciation value of a certain car. You bought a car amounting to 1.5…

A: Solution

Q: What happens to the rate of change of the exponential function y = ax as a becomes larger?

A: To explain the given problem

Q: 9) The growth rate of the demand for oil in the US is 10% per year. In what year will the demand be…

A: We have to find the time required for demand to be double that of 2006.

Q: A radioactive substance decays at a rate proportional to the amount present ( y(t) = yoe-rt ) If 40%…

A: let the amount of radioactive material be x, and Given that…

Q: If the national debt of a country (in trillions of dollars) t years from now is given by the…

A: Given,

Q: If the quantity of a substance decreases by 4% in 11 hours, find its half-life. Round constants to…

A: Let initial quantity is A0 . Quantity after t hours = Ak= some constant.A is given by:

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

A:

Q: 5) Suppose you bought a used car for $18,000 a few years ago, and its value has been decreasing at…

A: Consider the number of years as x and the value of car as y. The worth of the car is $18,000 and it…

Q: A continuous income stream has an annual rate of flow at time t given: f(t)=9000e^(0.12t)…

A:

Q: Suppose that fis an exponential function with percentage growth rate of 1% and that f(0) = 4. Find a…

A: Given The percentage growth rate is 1% and f0=4.

Q: 4. The population of the world is expected to double in the next 30 yr. What is its growth rate?

A:

Q: f(x) =

A: Given that: Suppose that f is an exponential function with percentage growth rate of 5 %. f ( 0) = 5

Q: A money market fund has a continuous flow of money at a rate of f(x)=0.07x+100 for 10 years. Find…

A:

Q: A deposit earns interest at a rate of r percent compounded continuously and doubles in value in 10…

A: Given that, after 10 years, the initial amount is doubles, when the rate of interest r is compounded…

Q: Estimate the value of x to the nearest tenth when the y-value of the exponential function begins to…

A: We have to estimate the value of x to the nearest tenth when the y-value of the exponential function…

Q: Suppose a country has a population of 50 million and projects a growth rate of 3% per year for the…

A: To determine the population of this country be in 6 years.

Q: 4. The rate of change of a certain substance is proportional to the amount of substance is 10 grams…

A: According to the given question dxdt∝x.

Q: 1. The rate of decay of radium is said to be proportional to the amount of radium present. If the…

A: Since you posted two questions here, i can answer only first one at a time. Please repost other…

Q: Suppose a country has a population of 40 million and projects a growth rate of 5% per year for the…

A: Given country has a population of 40 million and projects a growth rate of 5% per year for the next…

Q: The manufacturer's suggested retail price (MSRP) for a particular car is $24,805, and it is expected…

A:

Q: 7. If the rate of growth of a bacteria population is modeled by r(t) = 8e2t-1 thousand bacteria per…

A: Introduction: When a function is given, we determine the average value by integrating the function.…

Q: If a new car is valued at $20,600 and 8 years later it is valued at $3000​, then what is the average…

A: Given that the value of a new car is $20,600 and 8 years later it is valued $3,000.The initial value…

Q: In March 1976 the world population reached 4 billion. At that time, a popular news magazine…

A:

Q: A certain breed of rabbit was introduced onto a small island about 15 years ago. The current rabbit…

A:

Q: Suppose that a machine's production can be considered as a continuous income stream with annual rate…

A:

Q: Suppose a country has a population of 20 million and projects a growth rate of 4% per year for the…

A:

Q: 3. In a certain culture, the rate of growth of bacteria is proportional to the amount present. If…

A:

Q: If an amount Po is invested in the Mandelbrot Bond Fund and interest is compounded continuously at…

A: Given dpdt=0.068P

Q: National Park Service personnel are trying to increase the size of the bison population of the…

A: The increase in population can be calculated as shown below.

Q: 2. At what rate of interest, compounded continuously will an investment double in six years? 3.…

A: (2) given that the principle amount will gets doubled in six years if the amount is compounded…

Q: Suppose a country has a population of 50 million and projects a growth rate of 3% per year for the…

A: Given query is to find the population of the country after 11 years.

Q: Consider the constant rate of depreciation value of a certain car. You bought a car amounting to 1.5…

A:

Q: Assume a quantity decreases by 5.1% in 7.5 hours.What is the half-life of the substance?

A: Given:A quantity decreases by 5.1% in 7.5 hours.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.