MATHEMATICS HIGH SCHOOL

F(x) 5,450(1.024)^x The domain for the function that represents the amount of time the money will be in the college fund is _ the range for the function that represents the amount of money that is in the college fund is _

Answers

Answer 1

Answer:

1.) Domain X = all positive real numbers

2.) Range: F(x) > = 5450

Step-by-step explanation:

Given that

F(x) = 5,450(1.024)^x

Where the domain is the independent variable X and the range is the dependent variable Y or F(x)

Since the domain for the function represents the amount of time the money will be in the college fund, time cannot be negative, it will always be positive.

Therefore, domain x will be all positive real numbers.

The least domain x = 0

Substituting domain into the equation will give us a range of value:

F(x) = 5450 × ( 1.024 )^0

F(x) = 5450 × 1

F(x) = 5450

That is, the least value of range = 5450

Therefore, Range will be F(x) greater than or equal to 5450.

F(x) > = 5450

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Answers

Umm do we get like A, B C D answers to help you with?

A rectangular garden is 5 feet longer than twice its width. It has a sidewalk 3 feet wide on two of its sides. The area of the sidewalk is 213 square feet. Find the dimensions of the garden.

Answers

The length and width of the garden are 47 ft and 21 ft respectively.

Explanation

Suppose, the width of the garden is $x$ feet.

As the garden is 5 feet longer than twice its width, so the length will be: $(2x+5) feet$

So, the area of the garden $= length*width=x(2x+5)ft^2$

Now, the garden has a sidewalk 3 feet wide on two of its sides. That means, the length of the garden including the sidewalk $=(2x+5+3)ft =(2x+8)ft$ and the width including the sidewalk $=(x+3)ft$

Given that, the area of the sidewalk is 213 ft². So the equation will be.....

$(2x+8)(x+3)-x(2x+5)=213\n \n 2x^2+14x+24-2x^2-5x=213\n \n 9x+24=213\n \n 9x=189\n \n x=(189)/(9)=21$

So, the width of the garden is 21 feet and the length is $(2*21+5)ft= 47 ft$

A circular cylinder has a radius between 5.50 and 6.00 cm and a volume of 225 cm3. Write an inequality that represents the range of possible heights the cylinder can have to meet this criterion to the nearest hundrenth of the centimeter.

Answers

Answer:

The answer is: 1.99<h<2.37

Step-by-step explanation:

The procedure is as followed

V=πr^2h

225=π(5.5)^2h

h=2.37

225=π(6)^2h

h=1.99

How to solve scientific notation

Answers

To convert to scientific notation, start by moving the decimal place in the number until you have a coefficient between.

Please answer as soon as possible! will give branliest! worth 50 points

Answers

I think, I believe its C.

Answer:

Im positive its C

Step-by-step explanation:

A rectangle's length is three times its width. Let w denote the rectangle's width. What polynomial represents the rectangle's area?

Answers

Width = ' W '
Length = 3 times as long = 3W

Area = (length) x (width) = (3W) x (W) = 3W²

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