Which one is true pls answer

Answer:

7% interest = $10000

13% interest = $20000

Step-by-step explanation:

Let the amount invested at 7% interest be x.

Let the amount invested at 13% interest be y.

Thus;

x + y = 30000 - - - (eq 1)

We want to find out how much Paul needs to invest in each option to make a total 11% return on his $30,000.

Thus;

0.07x + 0.13y = 0.11(30000)

Multiply through by 100 to get rid of the decimal;

7x + 13y = 0.11(30000 × 100).

7x + 13y = 330000 - - - (eq 2)

From eq 1, x = 30000 - y

Put this for x in eq 2 to get;

7(30000 - y) + 13y = 330000

210000 - 7y + 13y = 330000

6y = 330000 - 210000

6y = 120000

y = 120000/6

y = $20000

x = 30000 - 20000

x = $10000

Thus;

Amount invested at;

7% interest = $10000

13% interest = $20000

Answer:

Step-by-step explanation: 28 divided by 12 = $2.33 per pound of flour.

answer 41x

Step-by-step

The number N whose forty percent is 240 is 600, or we say that 40% of 600 is 240

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

For this case, we are specified that:

40% of N = 240

Since 40% of N is [tex]\dfrac{N}{100} \times 40[/tex], thus, we get

[tex]\dfrac{N}{100} \times 40 = 240[/tex] (as they both are same quantity, ie. 40% of N)

Now, solving it further to get value of N:

[tex]\dfrac{N}{100} \times 40 = 240\\\\\text{Multiplying 100 on both the sides}\\\\N \times 40 = 24000\\\\\text{Dividing both the sides by 40}\\\\N = 24000/40 = 600[/tex]

Thus,  40% of 600 is 240 or we say that the number N whose forty percent is 240 is 600

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Answer: their is no solution to this problem

Step-by-step explanation:

Answer:  Hello There!!

w = -5/2

Step-by-step explanation:

4(w+1)=−6

Step 1: Simplify both sides of the equation.

4(w+1)=−6

(4)(w)+(4)(1)=−6(Distribute)

4w+4=−6

Step 2: Subtract 4 from both sides.

4w+4−4=−6−4

4w=−10

Step 3: Divide both sides by 4.

4w/4 = -10/4

Answer:

-10/4

Step-by-step explanation:

4(w+1)=−6

Step 1: Simplify both sides of the equation.

4(w+1)=−6

(4)(w)+(4)(1)=−6(Distribute)

4w+4=−6

Step 2: Subtract 4 from both sides.

4w+4−4=−6−4

4w=−10

Step 3: Divide both sides by 4.

4w/4 = -10/4

Step-by-step explanation:

3cos2x +sinx=1

3(1-2sin²x)+sinx=1

3-6sin²x+sinx=1

sinx(-6sinx+1)=1

either

sinx=1

sinx=sin(90)

:.x=90

or

-6sinx+1=1

-6sinx=1-1

sinx=0/-6

sinx=sin0,sin180

:.x=0,180and90

Answer:

x = 5.98

Explanation:

1. 4+(3.7−)=1.72

2. 4+(−+3.7)=1.72

3. 4−+3.7=1.72

4. 7.7−=1.72

5. −+7.7=1.72

6. −+7.7−7.7=1.72−7.7

7. −=−5.98

Then  simplify to x =5.98

Answer:

Tommie planted the most.

Tommie plants twice that amount, and Tommie plants more rows of pepper plants.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Alethea plants 3 rows of carrots for every 1 row of pepper plants.

And, Alethea plants 9 rows of carrots and Tommie plants twice that amount.

Here, Alethea plants 9 rows of carrots and Tommie plants twice that amount.

So, We get;

Tommie plants twice that amount, and Tommie plants more rows of pepper plants.

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Answer:

x > -13

Step-by-step explanation:

Let x be the number

2x+8 > -18

Subtract 8 from each side

2x+8-8 > -18-8

2x> -26

Divide each side by 2

2x/2 > -26/2

x > -13

Answer:

x > -13

Step-by-step explanation:

Let x be the number

2x+8 > -18

Subtract 8 from each side

2x+8-8 > -18-8

2x> -26

Divide each side by 2

2x/2 > -26/2

x > -13

Answer:

0

Step-by-step explanation:

45=5t+45

-45=-45

0=5t

/5

0=t

Hope this helped :)

Answer:

T=0

Step-by-step explanation:

Subtract 45 from both sides and then simplify then divide bith sides of the equation by the same term

Answer:

Summary

Interest in the linguistics of humor is widespread and dates since classical times. Several theoretical models have been proposed to describe and explain the function of humor in language. The most widely adopted one, the semantic-script theory of humor, was presented by Victor Raskin, in 1985. Its expansion, to incorporate a broader gamut of information, is known as the General Theory of Verbal Humor. Other approaches are emerging, especially in cognitive and corpus linguistics. Within applied linguistics, the predominant approach is an analysis of conversation and discourse, with a focus on the disparate functions of humor in conversation. Speakers may use humor pro-socially, to build in-group solidarity, or anti-socially, to exclude and denigrate the targets of the humor. Most of the research has focused on how humor is co-constructed and used among friends, and how speakers support it. Increasingly, corpus-supported research is beginning to reshape the field, introducing quantitative concerns, as well as multimodal data and analyses. Overall, the linguistics of humor is a dynamic and rapidly changing field.Step-by-step explanation:

Given:

A line segment AB.

A point is [tex]\dfrac{3}{10}[/tex] of the way from A to B.

To find:

The coordinates of that point.

Solution:

Section formula: If a point divide a line segment in m:n, then

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

From the given figure, it is clear that the two end points of the line segment are A(-4,-5) and B(12,4).

Let the unknown point be P. The point is [tex]\dfrac{3}{10}[/tex] of the way from A to B. It means,

[tex]\dfrac{AP}{AB}=\dfrac{3}{10}[/tex]

Let AP and AB are 3x and 10x, then

[tex]\dfrac{AP}{PB}=\dfrac{AP}{AB-AP}[/tex]

[tex]\dfrac{AP}{PB}=\dfrac{3x}{10x-3x}[/tex]

[tex]\dfrac{AP}{PB}=\dfrac{3x}{7x}[/tex]

[tex]\dfrac{AP}{PB}=\dfrac{3}{7}[/tex]

It means, point P divided the line segment in 3:7.

Using section formula, we get

[tex]P=\left(\dfrac{3(12)+7(-4)}{3+7},\dfrac{3(4)+7(-5)}{3+7}\right)[/tex]

[tex]P=\left(\dfrac{36-28}{10},\dfrac{12-35}{10}\right)[/tex]

[tex]P=\left(\dfrac{8}{10},\dfrac{-23}{10}\right)[/tex]

[tex]P=\left(0.8,-2.3\right)[/tex]

Therefore, the coordinates of the required point are (0.8, -2.3).

Answer:

1. 0.4082

2. The data are an SRS from the population of interest

3. 0.06 +- 0.051

Step-by-step explanation:

Hypothesis testing is carried out to give conclusion about data set. The p value determines whether to accept or reject the null hypothesis. Alternative hypothesis is created against the null hypothesis to test the observation of data.

Answer:

we get 180 minutes; this is equivalent to 3 hours

Step-by-step explanation:

Solving this problem is easier if we convert 2 hr 30 min to min:  150 min.

In the ratio 6:5, the 5 represents the 150 min and we need to determine how long the time interval will be if increased in this ratio.

We write and solve an equation of ratios:

6        x

--- = ------                          This becomes 5x = 900 through cross multiplication.

5     150

solving this for x, we get 180 minutes; this is equivalent to 3 hours.

The time taken should be 180 minutes or 3 hours.

Since there is an increase of 2 hours 30 minutes by the ratio of 6:5​

So here we convert 2 hr 30 min so it comes 150 min.

Now the time taken should be

5x = 900

x = 150 minutes

hence, The time taken should be 180 minutes or 3 hours.

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Answer:

scale factor = 3.5; missing side = 17.5 cm

Step-by-step explanation:

see attached image

Answer:

W=2001.24 newton meters

Caution: check units and arithmetic - I often make errors.

Step-by-step explanation:

Work is force times distance.

Denote height by h where h=0 is at ground level.

Denote the mass of the bucket and rope at height h by m(h).

The rate at which the bucket loses mass with height is (20-16)/10=0.4 kg/m

The rate at which the rope between the bucket and the top of the building loses mass is 0.4 kg/m

The initial mass of the bucket and rope is

[tex]m_{0}=20+0.4+0.4(10)=24.4[/tex]

The mass at height h is

[tex]m(h)=24.4-0.8h[/tex]

The force required at height h is

m(h)g

where g is the gravitational acceleration.

g=9.81 meters/sec/sec

The work required is

[tex]\int\limits^b_a {m(h)g} \, dh[/tex]

Where a=0 and b=10

[tex]g\int\limits^b_a {(24.4-0.8h)} \, dh=g(24.4h-0.4h^2)\left \{ {{10} \atop {0}} \right.[/tex]

g(244-40)=204g

W=2001.24 newton meters

Answer:

552 eggs

Step-by-step explanation:

A dozen is equal to 12

Solve:

Multiply 46 by 12

Answer:

0.999 = 99.9% probability that the baby weighs less than 150 Oz.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

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

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 weights of newborn babies are distributed normally, with a mean of approximately 105 Oz and a standard deviation of 15 Oz.

This means that [tex]\mu = 105, \sigma = 15[/tex]

What if the probabability that the baby weighs less than 150 Oz?

This is the pvalue of Z when X = 150. SO

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{150 - 105}{15}[/tex]

[tex]Z = 3[/tex]

[tex]Z = 3[/tex] has a pvalue of 0.999

0.999 = 99.9% probability that the baby weighs less than 150 Oz.

Answer:4v

Step-by-step explanation:

Step-by-step explanation:

3 is the answer

-7x+12x-6=9

when -6 goes to other side it becomes +6

-7x+12x=9+6

5x=15

when 5x which means 5 multiplied to x . When 5 goes other side it becomes division

x=15÷5=3

x=3

Answer:

It is 3.5 cm long

Step-by-step explanation:

1 cm = 10mm

So divide 35 by 10

Answer:

$180

Step-by-step explanation:

$180

Answer:

volume = (Pi)(r^2)(height)

57.5 cm^3 difference in volume

Step-by-step explanation:

Assuming that the 3.5 cm and the 4 cm are diameters of the cans:

The radius of the baked beans can is one-half of the diameter and that would be 1.75 cm.

The radius of the soda can is one-half of the diameter and that would be 2 cm.

The formula for the volume of a cylinder is Pi times the radius squared times the height.   (Pi)(r^2)(height)

Baked beans volume equals (3.14)(1.75^2)(11) = (3.14)(3.06)(11) = 105.78 cm^3

Soda can volume equals (3.14)(2^2)(13) = (3.14)(4)(13) = 163.28 cm^3

The soda can has more volume so:

163.28 cm^3 minus 105.78 cm^3 equals 57.5 cm^3 difference in volume.

Answer:

c. Playing violent video games is associated with more aggressive behavior.

Step-by-step explanation:

This question is solved interpreting the text.

The study found that students who reported playing more violent video games engaged in more aggressive behavior.

The conclusion that it leads is that violent video games is associated with more agressive behavior. Keyword is associated, and the correct answer is given by option c.

The conclusion that can you make on the basis of this study is: c. Playing violent video games is associated with more aggressive behavior.

A conclusion refers to the final understanding that can be reached on a matter based on the findings in the study.

The findings from this study indicate that students who were exposed to violent video games had the tendency of becoming more aggressive.

So, we can conclude that violent video games is associated with aggressive behavior.

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Answer: $14.

Step-by-step explanation: 100 cents is equal to 1 dollar. 1400 cents divided by 100 cents = 14. Therefore, you have 14 dollars.