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How to find the constant rate of change?
To find the constant rate of change is by taking the final minus initial over the initial.
What initial value sums 808 at a 2 percent annual rate in 6?
800
What is the definition for rate of change?
If an entiry is dependent on another entity in a certain way then the change in value of the dependent entity to an unit change in the value of the independent entity is the rate of change.
How can you determine the rate of change and initial value of a relation from its equation?
If the equation is of the form y = f(x) where f is some function of the variable x, then The initial value is found by evaluation f(0): that is, the value of f(x) when x = 0. The rate of change is the derivative of f(x) with respect to x, written as f'(x). That is the limit (if it exists), as dx tends to 0, of [f(x+dx) - f(x)]/dx. In the simple case, where f(x) is a linear equation of the form y = mx + c, then f(0) = c and f'(x) = m
What is the present value of a growing perpetuity of 0.05 annually 0.10 dicount rate with initial payment of 24000?
You are evaluating a growing perpetuity product from a large financial services firm. The product promises an initial payment of $24,000 at the end of this year and subsequent payments that will thereafter grow at a rate of 0.05 annually. If you use a discount rate of 0.10 for investment products, what is the present value of this growing perpetuity?
What is the amount of increase or decrease in a function?
The amount of increase or decrease in a function is determined by the difference between the final value and the initial value of the function. If the final value is greater than the initial value, there is an increase; if the final value is less than the initial value, there is a decrease. The magnitude of this difference indicates the extent of the change in the function.
What describes annual percentage rate?
An annual percentage rate is the average percentage change over a period of a year. The percentage change is the change divided by the initial value, expressed as a percentage.
How to find the constant rate of change?
To find the constant rate of change is by taking the final minus initial over the initial.
What is the percent rate of change?
The rate of change is the change divided by the original value. This answer, converted to a percentage is the percentage rate of change.
What initial value sums 808 at a 2 percent annual rate in 6?
800
Growth model equation?
y=a(1+r)^t where a is the initial value, r is the rate as a decimal and t is the time in years.
What is the definition of rate of change?
If an entiry is dependent on another entity in a certain way then the change in value of the dependent entity to an unit change in the value of the independent entity is the rate of change.
What is the definition for rate of change?
If an entiry is dependent on another entity in a certain way then the change in value of the dependent entity to an unit change in the value of the independent entity is the rate of change.
What initial value sums 808 at 2 percent annual rate in 6 months?
800
What is initial rate?
The initial rate refers to the rate at which a chemical reaction occurs at the beginning, when the reactants are first mixed together. It is determined by measuring the change in concentration of a reactant or product over a short period of time immediately after the reaction has started.
How do you graph using the rate of change and initial value?
Normally on the Cartesian plane using as for example the straight line equation y = mx+c whereas m is the gradient or slope and c is the y intercept.
Why is it important to add the constant of integration immediately when the integration is performed?
When you do an integration, you are (implicitly or explicitly) recognizing that what you are integrating is a "rate of change". Your integration over a particular interval provides you with the answer to the question "what is the total change over this interval?". To get the total value of this quantity you must add the initial amount or value. That is represented by the constant of integration. When you integrate between specific limits and you are asking the question "how much is the total change" the initial value is not needed, and in fact does not appear when you insert the initial and final values of the variable over which you are integrating. So you must distinguish between finding the total change, or finding the final value. Re-reading this, I could have been a bit clearer. I'll give an example. Suppose something is accelerating at a constant acceleration designated by "a". Between the times t1 and t2 the velocity changes by a(t2-t1) which you get by integrating "a" and applying the limits t2 and t1. But the change in velocity is not the same as the velocity itself, which is equal to the initial velocity, "vo", plus the change in velocity a(t2-t1). This shows that the integral between limits just gives the accumulated change. but if you want the final VALUE, you have to add on the initial value. You might see a statement like "the integral of a with respect to time, when a is constant is vo + at ". You can check this by differentiating with respect to t, and you find the constant vo disappears. In summary, the integral evaluated by simply applying the limits gives the accumulated change, but to get the final value you have to add on the pre-existing value, and in this context the pre-existing value also carries the name of "constant of integration".
