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1 year ago

Someone help me please!!!!!!!!!!!!!!!!

Mathematics

1 answer:

Digiron [165]1 year ago

7 0

The independent variable, x, represents the number of years worked, and the dependent variable is the total salary, because the total salary depends on the number of years worked. A function relating these variables is D(x) = [y = 4,000x + 45,000] So D(3) = [$57,000], meaning 3 years of work will give a total salary of $57,000.

<h3>The types of variables.</h3>

In an experiment, there are two (2) main types of variables and these include:

Dependent variable.

Independent variable.

<h3>What is an independent variable?</h3>

An independent variable can be defined as the variable that is being manipulated by an experimenter or researcher. This ultimately implies that, it is typically considered to be the cause in an experiment and represented by x.

In this scenario, we can infer and logically deduce that the independent variable, x, represents the number of years worked, and the dependent variable is the total salary, because the total salary depends on the number of years worked.

A function relating these variables is D(x) = [y = 4,000x + 45,000].

So D(3) = [$57,000], meaning 3 years of work will give a total salary of $57,000.

Read more on independent variable here: brainly.com/question/82796

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Answer:

The equation listed is linear because 2x is a constant, meaning that it continuously moves in a straight line in one set direction.

Step-by-step explanation:

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Samantha puts an initial $500 into a savings account. The account has a 4% annual compound interest rate. What is the function t

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Hello! I can help you with this!

a. The function that would best represent Samantha's account is f(5) = 500(1 + 0.04)^5. This is because $500 is the principal, the interest rate is 4%, and we're looking for the amount in the savings account 5 years later.

b. Okay. 1 = 0.04 is 1.04. 1.04^5 is 1.216652902. It's a long decimal, but don't delete it. Multiply that decimal by 500 and you get 608.32645 and other numbers behind it or 608 when rounded to the nearest dollar. Samantha will have about $608 in her savings account in 5 years.

Note: The formula goes like this: f(x) = P(1 + r)^x. This means, you add 1 and the simple interest rate in decimal form together and raise that up by the exponent. There is no shortcuts for this, so you'll have to use the calculator. There will be a very long decimal, but don't clear it. Instead, multiply it by the principal to get the answer. It seems very complicating, but if you do this right, it gets easier overtime and you'll make less errors. There are more complex problems out there, so this formula is very important, but it was kept simple for this question.

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3 years ago

In one day, a book store earned $199 in sales for 4 copies of a new cookbook and 5 copies of a new science fiction novel. On the

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Answer:

The cookbook costs $36 per copy while the science fiction costs $11 per copy

Step-by-step explanation:

Here in this question, we are interested in calculating the price of the cookbook and the price of the science fiction novel.

Since we do not know the price of each, we start by assigning variables to stand in for these unknown prices.

Let the price of the cookbook be $x , while the price of the science fiction be $y

Now, on the first day, 4 copies of the cookbook and 5 copies of the fiction;

mathematically that would be 4 * x and 5 * y

We add both and sum to be $199

Thus we have;

4x + 5y = 199 ••••••••••(i)

On the second day;

3 copies of cookbook 3 * x = 3x with 4 copies of science fiction 4 * y

Adding both yielded 152;

Thus, we have ;

3x + 4y = 152••••••••••(ii)

So we need to solve both equations simultaneously to get the values of x and y

4x + 5y = 199

3x + 4y = 152

Multiply equation i by 3 and equation ii by 4

3 * 4x + 5y = 199

4 * 3x + 4y = 152

12x + 15y = 597

12x + 16y = 608

Now, subtract multiplied equation ii from multiplied equation i

(12x-12x) + (15y-16y) = (597-608)

-y = -11

y = 11

To get x, simply substitute in any of the equations;

let’s use equation 1

4x + 5y = 199

4x + 5(11) = 199

4x + 55 = 199

4x = 199-55

4x = 144

x = 144/4

x = 36

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