1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
KATRIN_1 [288]
4 years ago
14

In a geometric series each term is 21% less than previous term what is the value of r for this geometric series

Mathematics
2 answers:
miv72 [106K]4 years ago
7 0

Answer:  The required common ratio is 0.79.

Step-by-step explanation:  Given that in a geometric series, each term is 21% less than the previous term.

We are to find the common ratio r for this geometric series.

Let the first term of the give geometric series be a.

Then, according to the given information, the second term of the geometric series will be

a_2=a-21\%\times a=a-\dfrac{21}{100}a=\dfrac{100-21}{100}a=\dfrac{79}{100}a=0.79a.

Therefore, the required common ratio for the given geometric series is given by

r=\dfrac{0.79a}{a}=0.79.

Thus, the required common ratio is 0.79.

motikmotik4 years ago
5 0
To get a number to decrease by 21% you multiply it by 0.79 (1-0.21)
r = 0.79
You might be interested in
The American Automobile Association reported that families planning to travel over the Labor Day weekend would spend an average
Anuta_ua [19.1K]

Answer:

0.7486 = 74.86% probability of family expenses for the weekend being more than $580.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The American Automobile Association reported that families planning to travel over the Labor Day weekend would spend an average of $735.

This means that \mu = 735

Assume that the amount spent is normally distributed with a standard deviation of $230.

This means that \sigma = 230

What is the probability of family expenses for the weekend being: a. more than $580

This is 1 subtracted by the pvalue of Z when X = 580. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{580 - 735}{230}

Z = -0.67

Z = -0.67 has a pvalue of 0.2514

1 - 0.2514 = 0.7486

0.7486 = 74.86% probability of family expenses for the weekend being more than $580.

5 0
3 years ago
Describe how to use absolute value to find the distance between –11 and 8 on a number line. Then use this method to determine th
NeX [460]

Answer:

the distance between them is 19

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Can you help me on this
grigory [225]

Answer:

The answers are x < -65, x > 85, x < 180, x<= -13, and x >=25.

Step-by-step explanation:

For the first three, there's an open circle so the sign for the inequality would be < or > but for the last two, there's a closed circle so the sign for the inequality would be <= or >=, the ones with a line underneath. For 1, 3, and 4, the line goes to the left, showing that x is a number less than the point so it would have <, the less than sign. For 2 and 5, the line goes to the right, showing that x is a number greater than the point so it would have >, the greater than sign.

There's a trick to figuring out the right sign. If the line is pointing to the left, the inequality would be x < __, and the sign is pointng to the left. If the line is pointing to the right, the inequality would be x > __, and the sign is pointng to the right. This only works is x is on the left side of the inequality.

7 0
3 years ago
It cost $20 to park at the concert hall plus concert tickets are $60 each. How much will 6 tickets cost with parking one vehicle
marin [14]
$380 and i’m not sure about the other parts sorry
5 0
3 years ago
If f(x) = 5x, what is f–1(x)?
skelet666 [1.2K]

Answer:

f^{-1} (x)=\frac{1}{5}x

Step-by-step explanation:

we have

f(x)=5x

Let

y=f(x)

y=5x

Exchange the variables x for y and y for x

x=5y

isolate the variable y

y=x/5

Let

f^{-1} (x)=y

f^{-1} (x)=\frac{1}{5}x

8 0
3 years ago
Read 2 more answers
Other questions:
  • A rectangular window is topped with a semicircle on top. the height of the rectangular part is 1 more than 3 times its width , w
    5·1 answer
  • Okay people! I need help. In geometry, on a x/y coordinate plane, I need to find the distance between the point (3,2) and the sl
    7·1 answer
  • How is 2 and 7 tenths written as a decimal?
    13·2 answers
  • Write 3 other fractions that are equivalent to the given fraction. Include simplest Ford of the fraction
    14·1 answer
  • Before getting to school Benny has a few errands to run Benny has walk 4 blocks to the gallery and 10 block to the museum befor
    10·1 answer
  • Find the volume and surface area
    11·1 answer
  • PLEASE HELP NEED TO PASS THIS GEOMETRY TEST BEFORE SCHOOL ENDS
    15·1 answer
  • Find the volume of the cone. Round to the nearest tenths
    12·1 answer
  • Can someone help me ?
    9·2 answers
  • application. Line segment AB is a translation of line segment CD 6 units down. Drag line segment CD and try to move it onto line
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!