All categories

3 years ago

Find the 5th (not fourth) of given geometric sequence. 2000, 1000, 500,...

Mathematics

1 answer:

Greeley [361]3 years ago

8 0

Answer:

125

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

1000/2000 = 1/2

We multiply each term by 1/2

2000, 1000, 500

To find the next term 500*1/2 = 500/2 = 250

To find the 5th term

250*1/2 = 125

You might be interested in

A square-shaped park has an area of 324 yd2. What are the dimensions of the park? I need a step by step answer.

o-na [289]

Answer:

12x27

width 12 yd and length 27 yd

Area = 12*27 = 324 sq yd

4 0

4 years ago

Which line has an y-intercept of -2

DiKsa [7]

The y-intercept is found when x is set to 0.

Set x to equal 0 for both equations:

$3(0) - 2y = -6$
$-2y = -6$

Divide both sides by -2:

$y = 3$

The y-intercept of this equation is 3, so the first line does not have the y-intercept of -2.

-
$0 + 2y = -2$
$2y = -2$

Divide both sides by 2:

$y = -1$

The y-intercept of this equation is -1, so the second line does not have the y-intercept of -2.

Neither line has a y-intercept of -2.

7 0

3 years ago

PLEASE HELP!!! WILL MARK BRAINLIEST IF RIGHT!!

AfilCa [17]

Answer:

I believe it is the square root of 3

Step-by-step explanation:

4 0

3 years ago

Mrs. Steward needs to save (4.2 X 10^6) dollars for her children's college education. If she can save (1.4 X 10^2) each month, h

qwelly [4]

Answer: 30,000 months or 2,500 years

She'd better start saving more haha.

Step-by-step explanation:

$Goal=4.2x10^6\\Savings/month=1.4x10^2$

$\frac{4.2x10^6}{1.4x10^2} =(\frac{4.2}{1.4})x10^(^6^-^2^)=(3)x10^4=3x10^4 =30000 months=\frac{30000}{12}=2500years$

3 0

3 years ago

Describe the transformations necessary to transform f(x) into g(x)

Aleks [24]

Using translation concepts, the transformations are given as follows:

a) The function is horizontally compressed by a factor of 3 and shifted down one unit.

b) The function is shifted right 3 units and vertically stretched by a factor of 2.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Item a:

The transformations are:

x -> 3x, hence the function is horizontally compressed by a factor of 3.

y -> y - 1, hence the function is shifted down one unit.

Item b:

The transformations are:

x -> x - 3, hence the function is shifted right 3 units.

y -> 2y, hence the function is vertically stretched by a factor of 2.

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

6 0

2 years ago