does the graph represent a function

Given:

Total invested amount = $5400

Rate of interest for first account = 14%

Rate of interest for second account = 6%

Total interest after one year = $580

To find:

The amount invested in each account.

Solution:

Let the amount invested in the first account be $x, then the amount invested in the second account is $(5400-x).

Total interest = 14% of $x + 6% of $(5400-x).

[tex]580=\dfrac{14}{100}x+\dfrac{6}{100}(5400-x)[/tex]

Multiply both sides by 100.

[tex]58000=14x+6(5400-x)[/tex]

[tex]58000=14x+32400-6x[/tex]

[tex]58000-32400=8x[/tex]

[tex]25600=8x[/tex]

Divide both sides by 8.

[tex]\dfrac{25600}{8}=x[/tex]

[tex]3200=x[/tex]

Now,

[tex]5400-x=5400-3200[/tex]

[tex]5400-x=2200[/tex]

Therefore, the amount invested in first account is $3200 and the amount invested in the second account is $2200.

Answer:

300

Step-by-step explanation:

3x10x10=300

Answer:

300 cm^2

Step-by-step explanation:

A= (3)(10^2)

A= 3(100)

A= 300

Answer:

42

Explanation:

replace n by 7 since they are equal and therefore the same thing

so 6*7=42

Answer:

$38.75

Step-by-step explanation:

$465/12=$38.75

Answer:

The average daily maximum temperature in March is of 61 degrees.

Step-by-step explanation:

The average daily maximum temperature in his hometown in x months after January is given by:

[tex]f(x) = 12.2\cos{(\frac{\pi x}{6})} + 54.9[/tex]

What is the average daily maximum temperature in March?

March is 3 - 1 = 2 months after January, so this is f(2).

[tex]f(2) = 12.2\cos{(\frac{\pi*2}{6})} + 54.9 = 61[/tex]

The average daily maximum temperature in March is of 61 degrees.

Answer:

Step-by-step explanation:

a +

b -

c +

d -

e -

positive, Negative , Positive, Negative, Negative.

A number system is defined as the representation of numbers by using digits or other symbols in a consistent manner.

The given sentences are

(A) Tylers puppy gained 5 pounds.

This we can take as a positive number. Because here the value is increasing. whenever we use gained means it is positive.

Tylers puppy lost 5 pounds is the negative number.

(b) The aquarium leaked two pounds of water

This we can take as a Negative number. Because here the value is decreased. whenever we use leaked means it is negative.

The aquarium added with two pounds of water is a positive.

(c) Andrew received a gift of $10.

This we can take as a positive number. Because here the value is increasing. whenever we use received means it is positive.

Andrew gifted a gift of $10.

This we can take as a Negative number. Because here the value is decreased. whenever we use gifted means it is negative.

(d) Kiran gave a gift of $10

This we can take as a Negative number. Because here the value is decreased. whenever we use gave means it is negative.

Kiran received a gift of $10 is positive.

(e) A climber descended 550 feet.

This we can take as a Negative number. Because here the value is decreased. whenever we use descended means it is negative.

Hence positive, Negative , Positive, Negative, Negative,.

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Answer:

x = 8

Step-by-step explanation:

These angles provided are alternate interior angles. That means they are congruent (equal). All you need to do now is answer the equation "8x-4 = 60".

From that you can see that x is 8.

Answer:

the angles are alternate interior angle pair, they are equal

Answer:

A. ΔABC, ΔFDE and ΔGIH

Step-by-step explanation:

From the given descriptions for the three triangles, it can be inferred that;

DE ≈ HI ≈ BC

AB ≈ FD ≈ GI

m<B = m<D = m<I

So that by Side-Angle-Side (SAS) relations among the triangles, the three triangles are congruent.

This implies that: ΔABC ≅ ΔFDE ≅ ΔGIH

The appropriate answer to the given question is A.

Answer:

IH < IG < HG

Step-by-step explanation:

To solve this equation remember that angle measurements correspond with sides. So, the largest angle will be opposite of the longest side and the smallest angle will be opposite of the shortest side.

First, you need to find m<I; do this by subtracting 52 and 45 from 180. This means that m<I=83, making it the largest angle. Therefore, the angles, in order of least to greatest, are <G, <H, <I. So, to find the final answer, find the sides opposite of each of the angles. This means the answer is IH < IG < HG.

Answer:

free points ty

Answer:

0.7385 = 73.85% probability that it is indeed a sample of copied work.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Identified as a copy

Event B: Is a copy

Probability of being identified as a copy:

80% of 15%(copy)

100 - 95 = 5% of 100 - 15 = 85%(not a copy). So

[tex]P(A) = 0.8*0.15 + 0.05*0.85 = 0.1625[/tex]

Probability of being identified as a copy and being a copy.

80% of 15%. So

[tex]P(A \cap B) = 0.8*0.15 = 0.12[/tex]

What is the probability that it is indeed a sample of copied work?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.12}{0.1625} = 0.7385[/tex]

0.7385 = 73.85% probability that it is indeed a sample of copied work.

Answer:

its 25% meaning A is the answer

Step-by-step explanation:

Answer:

0.1739 = 17.39% probability that the cab actually was blue

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Witness asserts the cab is blue.

Event B: The cab is blue.

Probability of a witness assessing that a cab is blue.

20% of 95%(yellow cab, witness assesses it is blue).

80% of 5%(blue cab, witness assesses it is blue). So

[tex]P(A) = 0.2*0.95 + 0.8*0.05 = 0.23[/tex]

Probability of being blue and the witness assessing that it is blue.

80% of 5%. So

[tex]P(A \cap B) = 0.8*0.05 = 0.04[/tex]

What is the probability that the cab actually was blue?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.04}{0.23} = 0.1739[/tex]

0.1739 = 17.39% probability that the cab actually was blue

Answer:I think 3 years

Step-by-step explanation:

sorry if im wrong

9514 1404 393

Answer:

  B, E, F

Step-by-step explanation:

A. 4x and 5 + x

B. 2b + b and 3b

C. 3x and 3 + x

D. a ÷ 1/3 and 1/3 a

E. a ÷ 1/3 and a × 3

F. 1a and a

_____

Comment on the above

ax is multiplication of x by 'a'. a+x is addition. They are different operations.

x/(1/3) is not the same as x(1/3). Multiplication and division are different operations.

9514 1404 393

Answer:

  (b)  C = dπ

Step-by-step explanation:

The irrational value π is the ratio between the circumference of a circle and its diameter. That is ...

  π = C/d

Rearranging to get a formula for the circumference, we have ...

  C = dπ

9514 1404 393

Answer:

  (5 15/20) -(2 8/20) = 3 7/20

Step-by-step explanation:

Problems in "least common denominator" are made much easier if you are familiar with your times tables.

When you compare the denominator 4 to the denominator 20, you see that ...

  20 = 5 × 4

An equivalent fraction is made by multiplying by 1. Here, the version of 1 you want for the top fractions is 5/5.

  [tex]\dfrac{3}{4}= \dfrac{3}{4}\cdot\dfrac{5}{5}=\dfrac{3\cdot5}{4\cdot5}=\dfrac{15}{20}[/tex]

Similarly, the bottom fraction has its denominator multiplied by 4 to get from 5 to 20. The equivalent fraction is found by multiplying the numerator by the same number.

  [tex]\dfrac{2}{5}=\dfrac{2\cdot4}{5\cdot4}=\dfrac{8}{20}[/tex]

Then the desired difference is ...

  [tex]5\dfrac{15}{20}-2\dfrac{8}{20}=(5-2)+\left(\dfrac{15-8}{20}\right)=3\dfrac{7}{20}[/tex]

Answer:

48 squared inches

Step-by-step explanation:

4x2x6 altogether is 48

Answer:

48 square in.

Step-by-step explanation:

2 × 6 = 12

12 × 4 = 48

so ur answer is 48 square inches

Answer:

0.045 kg of cookies

Answer: 0.045

Step-by-step explanation:

Answer:

1. D

2. D

Step-by-step explanation:

First, find two points on the line that are EXACTLY on the dot. Count how many points the line goes down and to the side. Then put it into a slope which is rise/run or y/x

So since the two points I picked where 2 points down and 3 points to the side. Its 2/3. Also, the line is going down so its negative. Therefore, you make the slope negative. So, -2/3 is the answer.

2. In the equation, she did “1 - 17/ 1 - 20”

This is wrong because while the numerator is right, the original point was (20, 1) for the denominator. Therefore, she used y values where she should of use X-values as the equation should be

1 - 17/ 20 - 1

Answer:

x=23

Step-by-step explanation:

x+15=38 (we subtract 15 from both sides to get x alone on one side)

x=23

Answer:

23

Step-by-step explanation:

Subtract 15 by both sides to get X by itself and you get your answer!

x = 2 y = 7

Step-by-step explanation:

the explan at the pic

Answer:

0.321

Step-by-step explanation:

32.1 / 100 = 0.321 = [tex]\frac{321}{1000}[/tex]

The decimal equivalent of 32.1% is 0.321.

Converting a percentage to a decimal is a breeze.

To convert 32.1% to its decimal equivalent, all you have to do is divide the percentage value by 100.

In this case,

it would be 32.1 ÷ 100 = 0.321.

So, the decimal equivalent of 32.1% is 0.321.

Converting percentages to decimals is a simple concept that allows us to represent numbers in different form.

It's like translating one language into another.

By dividing the percentage by 100, we scale it down to a decimal representation.

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Answer:

the answer would be c

Step-by-step explanation:

the answer would be c because its a fraction

Answer:

Step-by-step explanation:

Answer:

It is the first one

Step-by-step explanation:

Open circle is greater or less than.

Closed circle is greater than or equal to and less than or equal to.

Answer:

The probability to one person to be a dog owner is p=0.56 (because 56% of people own dogs) and the probability that one person is not dog owner is q=1-p=1-0.56=0.44.

Step-by-step explanation:

Choosing two people at random, there are such possibilities:

1. both are dog owners;

2. first owns a dog, second not;

3. first hasn't dog, second owns a dog;

4. both haven't dogs.

Answer: if you pick two people at random the probability that they both own a dog is 0.3136.

Hope this helps! :))

The Probability that they both own a dog is 0.3025.

Here,

55% of people own dogs.

If pick two people at random,

Then we have to find the probability that they both own a dog.

What is Probability?

Probability is defined as the likelihood of something occurring or the chance of something happening.

Now,

55% of people own dogs.

Hence, the probability that they both own a dog = 55% * 55%

                                                                          = 0.55 * 0.55

                                                                          = 0.3025

So, The probability that they both own a dog is 0.3025.

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Solution :

It is given that we have a null and an alternative hypothesis. The hypothesis are :

[tex]$H_0: \mu = 240,000$[/tex]

[tex]$H_a : \mu < 240,000$[/tex]

We have to find if the cost of average home has decreased or not in this month.

So it is given that the test statics is -1.79, so the p value associated with the test statics is less than ( α ) 0.01

Therefore, we can conclude that the cost of the average house is less than $ 240,000.