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RUDIKE [14]
3 years ago
10

Given an exponential function for compounding interest, A(x) = P(1.02)x, what is the rate of change?

Mathematics
2 answers:
Vikentia [17]3 years ago
3 0
A(x) = P(1.02)^x
A(x) = P(1 + 0.02)^x
A(x) = P(1 + r)^x

Therefore rate of change = 0.02 = 2%.
allochka39001 [22]3 years ago
3 0

Answer:

The correct option is 1. The rate of change is 2%.

Step-by-step explanation:

The general growth function is

A(x)=P(1+r)^x .... (1)

Where, P is initial value and r is rate of change.

The given exponential function for compounding interest is

A(x)=P(1.02)^x

The given function can be written as

A(x)=P(1+0.02)^x ..... (2)

From (1) and (2) we get

r=0.02

In % it can be written as

r=2\%

Therefore the correct option is 1. The rate of change is 2%.

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A linear regression was conducted on the number of cigarettes a person smokes in a day versus the number of times they cough in
makvit [3.9K]

Answer:

a) response variable

Step-by-step explanation:

The response variable is the variable that depends on other variables such as the independent or explanatory variable, it is the variable that is being tested. The response variable is also called the dependent variable.

In linear regression, the y variable is referred to as the response variable while the x variable is referred to as the explanatory or independent variable.

In this case the y variable is "the number of times they cough in a day" and this variation depends on the x variable "number of cigarettes a person smokes in a day".

8 0
3 years ago
The temperature in a greenhouse should be 66 degrees or higher. One​ morning, the heater stopped working. The temperature droppe
erastova [34]

Answer:

The temperature in the greenhouse was at least 68 degrees before the heater stopped working.

Step-by-step explanation:

It was at 68 then it dropped by 2 degrees.

8 0
3 years ago
In the science lab, Will is testing the freezing point of a substance, which should be −24 ∘C. He is changing the temperature at
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Step-by-step explanation:

4 0
3 years ago
Divide 3900677 by 3883.66667
coldgirl [10]
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4 0
3 years ago
Evaluate f (x) = 3 (2)x for x=-1
kap26 [50]

The value of the function at x = -1 is 5

<h3>What is  function?</h3>

Function can be defined as an expression, rule, or law that defines a relationship between one variable known as the independent variable and another called the dependent variable.

From the information given, we have that;

f (x) = 3 (2)x  with  x=-1

Now, let's substitute the value of x as - 1 in the function given;

f (x) = 3 (2)x

f (x) = 3 (2) -1

Expand the bracket;

f (x) = 6 - 1

f(x) = 5

Thus, the value of the function at x = -1 is 5

Learn more about functions here:

brainly.com/question/6561461

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2 years ago
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