From 75 pencil to 225 pencils. Round to the nearest percent.

Mathematics

2 answers:

GalinKa [24]3 years ago

7 0

Answer:

200 %

Step-by-step explanation:

From the question above, the pencils increases from 75 to 225, so what we are looking for is the percentage increase

The formula for finding percentage increase is;

% increase = $\frac{Increase}{Original}$ × 100%

First; we will find the difference between the two numbers i.e 75 and 225

Increase = New number - Original number

= 225 - 75

= 150

Then we divide the increase by the original number and then multiply by 100 %

That is;

% increase = $\frac{150}{75}$ × 100%

= 2 × 100%

= 200%

Therefore; the percentage increase is 200%

MatroZZZ [7]3 years ago

4 0

For finding percents, I use a method called FOO
which is final-original÷original
the original is the first number and the final is the second
After FOO you must multiply by 100 to make it a percent
The equation is as followed:
225-75÷75×100
The answer is 125%

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What is the range of the following function:<br> y = 2(5^x) - 1

Orlov [11]

<h2>Hello!</h2>

The answer is:

The range of the function is:

Range: y>2

Range: (2,∞+)

To calculate the range of the following function (exponential function) we need to perform the following steps:

First: Find the value of "x"

So, finding "x" we have:

$y=2(5^{x}-1)\\\frac{y}{2}=5^{x}-1\\\\\frac{y}{2}-1=5^{x}\\\\Log_{5}(\frac{y}{2}-1)=Log_5(5^{x})\\\\x=Log_{5}(\frac{y}{2}-1)$

Second: Interpret the restriction of the function:

Since we are working with logarithms, we know that the only restriction that we found is that the logarithmic functions exist only from 0 to the possitive infinite without considering the number 1.

So, we can see that if the variable "x" is a real number, "y" must be greater than 2 because if it's equal to 2 the expression inside the logarithm will tend to 0, and since the logarithm of 0 does not exist in the real numbers, the variable "x" would not be equal to a real number.

Hence, the range of the function is:

Range: y>2

Range: (2,∞+)

Note: I have attached a picture (the graph of the function) for better understanding.

Have a nice day!