pls help :( The table shows the sizes of Farmer Reuben's fields. Use the table and a separate sheet of paper to help you answer each question.

The amount will be $412.91 after 8 years if $300 is invested at 4% interest compounded monthly.

Given:

Principal (P) = $300

rate of interest (r) = 4%

time (t) = 8 years.

compounded monthly.

Amount (A) = ?

we know the formula as:

A(t) = P(1+r/n)^nt

we know t=8

A(8) = 300(1+0.04/12)^12(8)

A(8) = 300(1+0.04/12)^96

A(8) = 300(1.033)^96

A(8) = $412.91

Hence amount after 8 years will be $412.91.

Learn more about Compound Interest here:

brainly.com/question/24274034

#SPJ4

Answer:

Step-by-step explanation:

After you know the equation of this line, you will be able to figure out the equation of the line that runs perpendicular to it. [11] To simplify. y − 6 = 3 2 ∗ ( x − 4) {\displaystyle {y}- {6}= {\frac {3} {2}}* ( {x}-4)} , first multiply all of the numbers in parentheses by the outer value to get.

Answer: 4.278695 × 10^7

Step-by-step explanation:

Answer: 4.2786950x10^7 or 4.2x10^7

Step-by-step explanation:

To convert a number to scientific notation, move the decimal.

42,786,950

At the and of this number, there is an understood decimal. To find the scientific notation version of it, move the decimal over to the left until you have only one digit to the left of the decimal, as such...

4.2786950

To then find what the exponent you're multiplying by, you count how many places you moved the decimal.

So in the end, you get 4.2786950x10^7

Answer:

x-7

Explanation:

Subtract 5 5 from both sides of the equation. Subtract 5 5 from 12 12 . Divide each term in −x=7 by −1 and simplify. Divide each term in −x=7

The given case study can be categorized as an observational study .A correctly conducted observational study will never attempt to influence participants' reactions, in contrast to experimental designs, which by definition apply a treatment condition to some individuals.

It is debatable whether cell phones and cancer are related. Studies on cellphones and cancer have been conducted for a long time, with varying degrees of success. There isn't now agreement on the potential cancer risk posed by cellphone use.

The growth of cancer linked to cellphone use appears to be the main cause for concern regarding smartphones and cancer. Despite the fact that cellphone use wasn't prevalent in the 1970s, some research indicates a slight rise in the prevalence of cancer since that decade.

To learn more about observational study

https://brainly.com/question/15938198

#SPJ4

There is a 1/12 chance that the three pairwise distances between the locations are smaller than the radius of the circle.

Here,

The first point can be placed anywhere on the circle because it doesn't matter where it is chosen.

A total of 120 degrees and a probability of 1/3 must be provided by the next point, which must be within an arc of 60 degrees on either side. The second point must be 60 degrees or less from the first two.

The third point can be located within an arc with a minimum area of freedom of 60 degrees and a chance of 1/6 if the first two locations are separated by 60 degrees. The third point can be located with a maximum degree of freedom of a 120 degree arc and a 1/3 chance if the first two points are the same.

Up to a maximum of 60 degrees away from the starting point, the likelihood changes linearly.

By averaging the probabilities at either end, we may discover 1/4, the typical likelihood we can position the third point based on a fluctuating second point.

The overall probability is 1 1/3 4 = 1/12.

Learn more about radius of the circle here;

https://brainly.com/question/29651675

#SPJ4

Answer:

Step-by-step explanation:

39.06

Answer: $40.33

Step-by-step explanation:

9% of $37 = 3.33

37 + 3.33 = 40.33

(a) The rectangular arrays could the squares have been​ arranged as

1 by 135, 3 by 45, 5 by 27, 9 by 15, 15 by 9.

(b)  The rectangular arrays is of 1 by 23.

What is solar panel?

An assembly of photovoltaic solar cells installed on a frame (often rectangular) is known as a solar cell panel, solar electric panel, photo-voltaic (PV) module, PV panel, or solar panel. A well-organized collection of PV panels is known as a photovoltaic system or solar array. Sunlight is used by solar panels to collect radiant energy, which is then transformed into direct current (DC) power.

(a) Let a particular solar panel is 5 squares by 27 squares.

5 by 27 = 135 which can be arranged as,

1 by 135

3 by 45

5 by 27

9 by 15

15 by 9

(b) There were 23 ​squares.

The factors of 23 are 1, 23 only so there can be only 1 rectangular array of 1 by 23.

To know more about solar panel, click on the link

https://brainly.com/question/2003661

#SPJ4

Answer:

x^3+8x^2+15x+25+51

x-2

Answer:

[tex]\textsf{1)\quad 48\;inches}[/tex]

[tex]\textsf{2)\quad$2\sqrt[3]{3}$\; inches}[/tex]

Step-by-step explanation:

Define the variables:

The rate of vibration of a string under constant tension varies inversely with the length of the string:

[tex]\boxed{y \propto \dfrac{1}{x} \implies y=\dfrac{k}{x}\quad\text{for a constant $k$}}[/tex]

Given values:

Substitute the given values of x and y into the formula and solve for k:

[tex]\implies 128=\dfrac{k}{24}[/tex]

[tex]\implies k=128 \cdot 24[/tex]

[tex]\implies k=3072[/tex]

Therefore, the equation is:

[tex]y=\dfrac{3072}{x}[/tex]

To find the length of a string that vibrates 64 times per second, substitute y = 64 into the equation and solve for x:

[tex]\implies 64=\dfrac{3072}{x}[/tex]

[tex]\implies x=\dfrac{3072}{64}[/tex]

[tex]\implies x=48[/tex]

Therefore, the length of a string that vibrates 64 times per second is 48 inches.

---------------------------------------------------------------------------------------------

Define the variables:

The horsepower that a shaft can safely transmit varies jointly with its speed and the cube of the diameter:

[tex]\boxed{y \propto vd^3 \implies y=kvd^3\quad\text{for a constant $k$}}[/tex]

Given values:

Substitute the given values of y, v and d into the formula and solve for k:

[tex]\implies 45=k \cdot 100 \cdot 3^3[/tex]

[tex]\implies 45=k \cdot 100 \cdot 27[/tex]

[tex]\implies 45=2700k[/tex]

[tex]\implies k=\dfrac{45}{2700}=\dfrac{1}{60}[/tex]

Therefore, the equation is:

[tex]y=\dfrac{vd^3}{60}[/tex]

To find the diameter of the shaft in order to transmit 60 hp at 150 rpm, substitute y = 60 and v = 150 into the equation and solve for d:

[tex]\implies 60=\dfrac{150d^3}{60}[/tex]

[tex]\implies 3600=150d^3[/tex]

[tex]\implies d^3=\dfrac{3600}{150}[/tex]

[tex]\implies d^3=24[/tex]

[tex]\implies d=\sqrt[3]{24}[/tex]

[tex]\implies d=\sqrt[3]{8 \cdot 3}[/tex]

[tex]\implies d=\sqrt[3]{8} \sqrt[3]{3}[/tex]

[tex]\implies d=\sqrt[3]{2^3} \cdot \sqrt[3]{3}[/tex]

[tex]\implies d=2\sqrt[3]{3}[/tex]

Therefore, the diameter of a shaft that transmits 60 hp at 150 rpm is 2³√3 inches.

The equation of the line that passes through the points (7, -8) and (-4, 6) in point slope form is y - 6 = -14/11(x + 4)

The coordinates of the first point = (7, -8)

The coordinates of the second point = (-4, 6)

The slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the values in the equation

The slope of the line = (6-(8) / (-4-7)

= 6+8 / -4-7

= 14 / -11

= - 14/11

Point slope form is

[tex]y-y_1=m(x-x_1)[/tex]

Substitute the value in the equation

y - 6 = -14/11(x - (-4))

y - 6 = -14/11(x + 4)

Therefore, the equation of the line is y - 6 = -14/11(x + 4)

Learn more about point slope form here

brainly.com/question/29503162

#SPJ4

Together the numbers a , b and c can be chosen in 4 ways.

Given:

when three positive integers $a, b$, and $c$ are multiplied together, their product is $100$ and a < b < c .

The positive divisors of 100 are :

1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100.

It is clear that :

10 ≤ c ≤ 50.

so we apply from c value 10.

if c = 10 ,  then ( a , b , c ) = ( 2 , 5 , 10 )

if c = 20 ,  then ( a , b , c ) = ( 1 , 5 , 10 )

if c = 25 ,  then ( a , b , c ) = ( 1 , 4 , 25 )

if c = 50 ,  then ( a , b , c ) = ( 1 , 2 , 50 )

we can observe ways = 4.

Therefore the number of ways is 4.

Learn more about the number here:

https://brainly.com/question/17429689

#SPJ4

Using percentages, we know that Joey has 37.5% of colored pairs of socks.

%, which is a relative figure used to denote hundredths of any quantity.

Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance.

Finding the percentage of a whole in terms of 100 is what percentage calculation is.

Both manual calculation and the use of internet calculators are options.

So, the percentage of colored pair of socks are:

We know that Joey has a total of 8 pairs of socks.

We also know that 5 pairs of socks are white.

Hence, the colored pair of socks will be:

8 - 5 = 3

Calculate its percentage as follows:

3/8 * 100

0.375 * 100

37.5%

Therefore, using percentages, we know that Joey has 37.5% of colored pairs of socks.

Know more about percentages here:

https://brainly.com/question/9553743

#SPJ4

answer:

provided in the explanation.

step-by-step explanation:

the graph would contain the points (0,0), (1,10), (2,20), etc. the slope is 10, which represents the number of coordinate video games practiced in x number of hours. the representation for the slope depends on whether coordinate video game or hours practiced is on the x or y axis. hope that helps!

The values of a and b are 3 and 2.

An expression is combination of variables, numbers and operators.

Given,

A company that manufactures memory chips for digital cameras uses the formula [tex]c=3\sqrt{n} (40\sqrt[6]{n}+9\sqrt[4]{n} )[/tex]

The cost, c, in dollars, for producing n chips.

We need to solve for values a and b.

[tex]c=3\sqrt{n} (40\sqrt[6]{n}+9\sqrt[4]{n} )[/tex]

[tex]c=3\sqrt{n} (40\sqrt[6]{n})+3\sqrt{n} (9\sqrt[4]{n} )[/tex]

[tex]c=120\sqrt{n} \sqrt[6]{n} +27\sqrt{n} \sqrt[4]{n}[/tex]

[tex]c=120n^{\frac{7}{2}} +27n^{\frac{5}{2}}[/tex]

c=[tex]120n^{\frac{3a}{2} } +27n^{\frac{4b}{2} }[/tex]

By solving this we get a=3 and b=2

Hence, the value of a and b is 3 and 2.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ1

Answer:   [tex]y = \frac{7}{6}x - \frac{23}{6}[/tex]

Work Shown:

[tex]y - y_1 = m(x - x_1)\\\\y - (-19) = \frac{7}{6}(x - (-13))\\\\y + 19 = \frac{7}{6}(x + 13)\\\\y + 19 = \frac{7}{6}x + \frac{7}{6}*13\\\\y + 19 = \frac{7}{6}x + \frac{91}{6}\\\\y = \frac{7}{6}x + \frac{91}{6} - 19\\\\y = \frac{7}{6}x + \frac{91}{6} - 19*\frac{6}{6}\\\\y = \frac{7}{6}x + \frac{91}{6} - \frac{114}{6}\\\\y = \frac{7}{6}x + \frac{91-114}{6}\\\\y = \frac{7}{6}x - \frac{23}{6}\\\\[/tex]

The probability that a single randomly selected value is more than 987 dollars is 0.5664

We know that probability is defined as the ratio of number of favorable outcomes to the total number of outcomes.

We know very well that z-value is calculate by the formula

z = (X-μ) / σ/√n

where z is the z-value,

X is randomly selected value,

μ is standard mean

σ is standard deviation and

n is the sample size.

For, X=987

=>z = (987-1037) / (243/√69)

=>z= -50 / (243 / 8.33)

=>z = -50 / (29.171)

=>z= -1.714

Now, we need to find the probability of A>987,so,we need to find what is the probability of A<=987.

P(X>987)= 1-P(X≤987)

=>P(X>987)=1-P(z<(-1.714))

Using the z-table ,we get that P(z<(-1.714))=0.43353

Therefore, P(X>987)=1-0.43353=0.5664

Hence, required probability is 0.5664

To know more about probability, visit here:

https://brainly.com/question/11234923

#SPJ4

(Complete question) is:

CNNBC recently reported that the mean annual cost of auto insurance is 1037 dollars. Assume the standard deviation is 243 dollars. You take a simple random sample of 69 auto insurance policies. (Do not use tables unless directed to do so.)

Find the probability that a single randomly selected value is more than 987 dollars. P(Â > 987).Enter your answers as numbers accurate to 4 decimal places.

the probability that she will correctly answer

A) 10 questions = 0

b) 9 questions =  0.00003

c) 8  questions =  0.00039

d) 7 questions =0.00309

e) 6 questions = 0.01622

f) 5 questions = 0.0584

Here  the total number of  question is 5+3+2= 10, and every question has four possible answers, for this problem, we will be  using the binomial distribution, the formula  is :

[tex]C_{n,k}[/tex][tex]p^{k}[/tex][tex]q^{n-k}[/tex] ,here C is the  combination,  p is the probability of success and q is the probability of having the success

for the given situation :

the p = 1/ 4 whereas, q=3/4

here n =10

now  for different values of  k  which is  the number of successes,  we substitute the know values in the formula, and we get

P(k=10) = 0

P(k=9) = 0.00003

P(k=8) = 0.00039

(P=7)= 0.00309

(P=6)=0.01622

(P=5)= 0.0584

To know more about  probability refer to the link brainly.com/question/29350029

#SPJ4

The following is the graph that displays the most trustworthy findings:

Choice C

A correlation coefficient is defined.

A measure of correlation between two variables, the correlation coefficient between two variables assumes values between -1 and 1.

The relationship is direct proportional if it is positive, and inverse proportional if it is negative.

Strong correlation exists between two variables if the correlation coefficient's absolute value is higher than 0.6.

This description leads us to conclude that the graph with the highest correlation coefficient is the most accurate, making Option C the proper choice.

Lack of Information

The two solutions to this problem are as follows:

Option B: Create a graph with a r = 0 correlation coefficient.

Option C: Create a graph with a r = 0.87 correlation coefficient.

At brainly.com/question/16355498, more information regarding correlation coefficients is available.

#SPJ4

The subjects in Group 1 are those with the 50 lowest four-digit numbers. Group 2 is given the remaining subjects.

What a Random Situation Is Exactly. Any clearly defined procedure that yields an observable result that could not be entirely predicted beforehand is considered a random experiment. In order to avoid any ambiguity or surprise, a random experiment must be clearly defined.

List the subjects in alphabetical order by name.

A four-digit number at random, between 0001 and 9999 (inclusive), should be given to each subject using a table of random numbers.

Leaving out 4 digit that have already been allocated.

The subjects in Group 1 are those with the 50 lowest four-digit numbers. Group 2 is given the remaining subjects.

To know more about random experiment visit:

https://brainly.com/question/29527009

#SPJ4

To compare result to hypothesis, we will start by providing the key result from the each model and then compare and contrast them.

A hypothesis is usually a prediction based on some evidence. Hypothesis must be tested and once tested they can be supported by evidence if a statement is made that cannot be tested or disproof then it is not hypothesis

To compare we will start by providing the key result from the each model and then compare and contrast them then you can then provide any interpretation or future direction to some of the comparison

To prove or disprove your hypothesis you need to be able to do an experiment and take that measurement or make observation to see how two things are related

If you have hypothesis is not supported by the result of the experiment you should really realize the data in order to figure out why your result disprove your hypothesis

You should not alter the observation or experiment so that you reserve proof your hypothesis

To know more about Hypothesis here

https://brainly.com/question/17173491

#SPJ4

According to the hypothesis test, the correct statement of the p-value is mean value is against null hypothesis.

Hypothesis test:

In statistics, hypothesis test means a form of statistical inference that uses data from a sample to draw conclusions about a population parameter or a population probability distribution.

Given,

Here we need to find the correct statement of the p-value for the a hypothesis test for population proportion, you calculated the p-value is 0. 01 for the test statistic.

While we looking into the given question we have identified the value of p value of the test statistic is 0.01.

Then the correct statement of the p-value less than 0.01 will under normal circumstances mean that there is substantial evidence against the null hypothesis.

To know more about Hypothesis test here.

https://brainly.com/question/29576929

#SPJ4

Answer:

4p³z - 14z +13

Step-by-step explanation:

(5p³z -9z +9) - (p³z +5z -4)

the - multiplies the bracket

5p³z -9z +9 -p³z -5z +4

collect like terms

5p³z -p³z -9z -5z +9+4

4p³z - 14z +13

Answer:45 76 97 790 9786 99780 533455 6687878

Step-by-step explanation:

Answer:y=x+6

Step-by-step explanation:

y= slopex+y-intercept