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
NARA [144]
3 years ago
15

The cost of a car is supposed to be no more than 80% of the value for the next year's

Mathematics
1 answer:
Ivenika [448]3 years ago
5 0

Answer:

x  ≥ 17,500

Step-by-step explanation:

To solve this problem, we will follow the  steps below:

let x be the cost of the next year's model

Writing the question in a mathematical format yield

$14,000 ≤ 80% of  x

This implies ;

80% of  x   ≥$14,000

80% ×   x  ≥$14,000

\frac{80X}{100}   ≥  $14,000

multiply both-side of the inequality by 100

\frac{80X}{100}  × 100 ≥  $14,000  × 100

at the left hand-side of the inequality 100 will cancel-out 100 leaving us with just 80x

80x  ≥  $1,400,000

Divide both-side of the equation by  80

80x /80 ≥  $1,400,000/80

x  ≥ 17,500

You might be interested in
An e-mail filter is planned to separate valid e-mails from spam. The word free occurs in 60% of the spam messages and only 4% of
ANEK [815]

Answer:

(a) 0.152

(b) 0.789

(c) 0.906

Step-by-step explanation:

Let's denote the events as follows:

<em>F</em> = The word free occurs in an email

<em>S</em> = The email is spam

<em>V</em> = The email is valid.

The information provided to us are:

  • The probability of the word free occurring in a spam message is,             P(F|S)=0.60
  • The probability of the word free occurring in a valid message is,             P(F|V)=0.04
  • The probability of spam messages is,

        P(S)=0.20

First let's compute the probability of valid messages:

P (V) = 1 - P(S)\\=1-0.20\\=0.80

(a)

To compute the probability of messages that contains the word free use the rule of total probability.

The rule of total probability is:

P(A)=P(A|B)P(B)+P(A|B^{c})P(B^{c})

The probability that a message contains the word free is:

P(F)=P(F|S)P(S)+P(F|V)P(V)\\=(0.60*0.20)+(0.04*0.80)\\=0.152\\

The probability of a message containing the word free is 0.152

(b)

To compute the probability of messages that are spam given that they contain the word free use the Bayes' Theorem.

The Bayes' theorem is used to determine the probability of an event based on the fact that another event has already occurred. That is,

P(A|B)=\frac{P(B|A)P(A)}{P(B)}

The probability that a message is spam provided that it contains free is:

P(S|F)=\frac{P(F|S)P(S)}{P(F)}\\=\frac{0.60*0.20}{0.152} \\=0.78947\\

The probability that a message is spam provided that it contains free is approximately 0.789.

(c)

To compute the probability of messages that are valid given that they do not contain the word free use the Bayes' Theorem. That is,

P(A|B)=\frac{P(B|A)P(A)}{P(B)}

The probability that a message is valid provided that it does not contain free is:

P(V|F^{c})=\frac{P(F^{c}|V)P(V)}{P(F^{c})} \\=\frac{(1-P(F|V))P(V)}{1-P(F)}\\=\frac{(1-0.04)*0.80}{1-0.152} \\=0.90566

The probability that a message is valid provided that it does not contain free is approximately 0.906.

4 0
3 years ago
Combine, and simplify the following radical expressions:<br><br> √7-5/√7+√8
solmaris [256]

\frac{\sqrt{7}-5}{\sqrt{7}+\sqrt{8}}

Rationalize.

-7+2\sqrt{14}+5\sqrt{7}-10\sqrt{2}

This can be further simplified to the decimal:

-0.43006...

I hope this helps :)

7 0
4 years ago
Read 2 more answers
1. Annual sales for a fast food restaurant are $650,000 and are increasing at a rate of 4% per year
Zielflug [23.3K]

Answer:

The value after 7 years is $ 855355.65

Solution:

Given that, Annual sales for a fast food restaurant are 650000 and are increasing at a rate of 4% per year

To find:  exponential function to find the annual sales after 7 years

The exponential growth function is given as:

Where,

"a" is the initial amount

"y" is the future value

"r" is the rate of interest in decimal

"t" is the number of years

Here in this given question,

a = 650000

t = 7 years

Substituting the values in given formula,

Thus the value after 7 years is $ 855355.65

Step-by-step explanation:

4 0
3 years ago
12.5(7) + 11.9(8)=?
BaLLatris [955]

Answer:

182.7

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Kindly, if you could please answer this question that would help a lot, thanks.
krek1111 [17]
Last one: 1/5 • 950
Because it would be 20/100 which equals 1/5 simplifies, then you take that and multiply it by the number
6 0
3 years ago
Other questions:
  • Forms of money in the United States consist of paper money, coins, and _____.
    14·2 answers
  • A cyclindrical tank is half full of oil]
    7·1 answer
  • Preform there operation (-3x+4)-(8x-4)
    9·2 answers
  • N + 16 = 9 <br><br> Please help me need explanation
    5·2 answers
  • 4[(10-4)2 ÷4] <br>A.9<br>B.6<br>C.12<br>D.36​
    15·2 answers
  • WHAT DOES 8/12 EQUAL SHOW WORK! I HAVE NO BRAIN IN THE MOMENT IDK Y THO JUST HELP ME REEEEEEEEEE thank you
    15·2 answers
  • Please solve Y ASAP please I’ll mark you as brainlister
    9·1 answer
  • Can you answer this pleas
    14·2 answers
  • A group of 45 students went to a basketball game.
    7·1 answer
  • How many centimeters are equal to 7 meters? enter your answer in the box. centimeters
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!