find the 20th term from the last term of the AP:3,8,13,............,253​

Given Data:

The initial investment is: P=$100

The total period of investment is: t=3

The annual interest is: 6%.

For the simple interest, the expression to calculate the interest in t years is,

Here r is in percentage.

Substitute known values in the above expression.

Thus, the total intrest for 3 years will be $18.

Answer:

0.03703704

Step-by-step explanation:

https://www.hackmath.net/en/calculator/fraction?input=3+1%2F4+%2B+2+1%2F3

The product of Catherine's rolls is 2700, and she rolls a standard 6-sided die six times. The number of different sequences of rolls there could have been is determined in this solution. So, the number of different sequences of rolls there could have been is 1200.

Break 2700 down into its prime factorization of 2 * 3^3 * 5^2. If we have six rolls of a six-sided die, there are 6! (720) permutations that we can roll. We can split the permutations based on how many times each prime number appears as a roll.

For the prime number 2, there are four permutations: {2,2,2,3,3,5}, {2,2,2,3,5,3}, {2,2,2,5,3,3}, and {2,2,3,2,3,5}.

Similarly, for the prime number 3, there are 20 permutations, and for the prime number 5, there are 15 permutations. Therefore, the number of different sequences of rolls there could have been is 4 * 20 * 15 = 1200. Answer: 1200.

For more questions on: sequences

https://brainly.com/question/30762797

#SPJ8        

Answer:

The previous number of students are 350.

Step-by-step explanation:

Let the number of students be 100x.

\(\frac{100+30}{100}\)x = 455

Simplify.

\(\frac{130}{100}\)x = 455

Find x.

\(\frac{100}{100}\)x = \(\frac{100}{130}\) × 455

Simplify.

x = 350

Answer: 5 3/4 feet

Step-by-step explanation:

The original perimeter of the room is:

2(length + width) = 2(13 ft + 8 ft) = 42 ft

After the length and width are increased by "x" feet, the new perimeter becomes 53 1/2 ft.

So, we can write the equation:

2(length + x + width + x) = 53 1/2 ft

Simplifying the equation, we get:

2(length + width + 2x) = 53 1/2 ft

But we know that the original perimeter of the room was 42 ft, so:

2(length + width) = 42 ft

Substituting this into the above equation, we get:

42 ft + 2x = 53 1/2 ft

Subtracting 42 ft from both sides, we get:

2x = 11 1/2 ft

Dividing both sides by 2, we get:

x = 5 3/4 ft

Therefore, the length and width of the room were both increased by 5 3/4 feet

The concept that a message gives different meanings to different objects is called option (b) polymorphism.

Polymorphism is a fundamental concept in object-oriented programming (OOP) that allows different objects to respond to the same message or method invocation in different ways. In other words, it allows objects of different classes to be treated as if they were of the same class, as long as they implement the same method or message.

This can make code more flexible, reusable, and easier to maintain. Polymorphism is achieved through inheritance, interfaces, or overloading methods. For example, a "draw" method could be implemented differently for different shapes, such as circles, rectangles, or triangles.

Therefore, the correct option is (b) polymorphism

Learn more about Polymorphism here

brainly.com/question/14316421

#SPJ4

Answer:

The volume of a cylinder is calculated by multiplying the area of the base by the height. The area of the base of a cylinder is πr², where r is the radius of the cylinder. In this case, the radius is 8 centimeters, so the area of the base is 201.06 cm². The height of the cylinder is 17 centimeters, so the volume of the cylinder is 3417.02 cm³.

The volume of a rectangular prism is calculated by multiplying the length, width, and height. In this case, the length is 15 centimeters, the width is 12 centimeters, and the height is 9 centimeters. The volume of the rectangular prism is 1620 cm³.

Since the volume of the cylinder is less than the volume of the rectangular prism, the water will not overflow.

Here is an argument that can be used to defend this solution:

The volume of the cylinder is calculated by multiplying the area of the base by the height.

The area of the base of a cylinder is πr², where r is the radius of the cylinder.

In this case, the radius is 8 centimeters, so the area of the base is 201.06 cm².

The height of the cylinder is 17 centimeters, so the volume of the cylinder is 3417.02 cm³.

The volume of a rectangular prism is calculated by multiplying the length, width, and height.

In this case, the length is 15 centimeters, the width is 12 centimeters, and the height is 9 centimeters.

The volume of the rectangular prism is 1620 cm³.

Since the volume of the cylinder is less than the volume of the rectangular prism, the water will not overflow.

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are 8 equally likely sandwich options: rye and ham, rye and turkey, white and ham, white and turkey, rye and ham with cheese, rye and turkey with cheese, white and ham with cheese, white and turkey with cheese.

Since each type of sandwich was made in equal number, there are 4 sandwiches with cheese.

Therefore, the chances that Mary will get a sandwich with cheese is 4/8 or 1/2.

Answer: one half

Answer:

vchj k,.µnkmgjcuvyikuonjlk .m

Step-by-step explanation:

cguvhijnl hkvcgufgvihjonl hkgviuctfviyjkhn

To obtain the residuals from the fit in 8.4a and plot them against y and x, as well as prepare a normal plot, we need the specific details of the fit and the data used.

WE know that residuals represent the differences between the observed values and the predicted values from a statistical model or regression analysis.

Since the residuals against y and x can help identify patterns or trends in the data that may indicate issues with the model's fit.

A normal plot, known as a Q-Q plot, compares the distribution of the residuals to a theoretical normal distribution. If the residuals closely follow a straight line in the normal plot, the residuals are normally distributed, which is an assumption of many statistical models.

Interpreting these plots involves examining the patterns and deviations from expected behavior. If the residuals exhibit a consistent pattern, it might indicate that the model does not capture all the relevant information in the data.

Thus if the residuals appear randomly scattered around zero with no discernible pattern, it suggests that the model adequately explains the data. Deviations in the normal plot may indicate departures from the assumption of normality in the residuals, which could impact the reliability of statistical inferences.

To learn more about normal plot click here, brainly.com/question/30873670

#SPJ4

Answer:

6.60$ dollars per movie

Step-by-step explanation:

99/15=6.6

Answer:

$6.60

Step-by-step explanation:

\(\frac{99}{15}\) = 6.60

Answer:

Answer:

Teachers increase = 300 %

Step-by-step explanation:

Method to increase or decrease:

Change= Actual - Original

Actual= 48

Original= 12

Change= 48-12= 36

Answer:

C on edge

Step-by-step explanation:

The solution is, (0.9273 +2nπ,0), where n is any integer, are the x-intercepts of the graph of the function y=6tan (x/2)-3.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

given that,

the function is,

y=6tan (x/2)-3

we know that,

the x-intercepts of the graph of the function, we put y = 0

so, we get,

6tan (x/2)-3 = 0

or, tan (x/2) = 3/6

or, tan (x/2) = 1/2

or, x/2 = 0.4636

The period of tangent is π, so we have,

x/2 = 0.4636 + nπ

or, x =  (0.9273 +2nπ)

Hence, The solution is, (0.9273 +2nπ,0), where n is any integer, are the x-intercepts of the graph of the function y=6tan (x/2)-3.

To learn more on function click:

brainly.com/question/21145944

#SPJ7

Answer:

hm just bring out your big brain self you just need to think on this i believe in you now try to do your own problems

Step-by-step explanation:

When you multiply 4 with any number, you can use the doubling-up trick (that's the one you used for the two times table) twice. Here is an example: 2 x 4 is the same as 2 + 2 = 4 and then 4 + 4 = 8. So, 2 x 4 = 8.

Here is next double, double example are: 5 x 4 is the same as 5 + 5 = 10, so then 10 + 10 = 20. So, the answer is 5 x 4 = 20.

Here, is the table of four.

4×1=4

4×2=8

4×3=12

4×4=16

4×5=20

4×6=24

4×7=28

4×8=32

4×9=36

4×10=40

To know more about Multiplication:

https://brainly.com/question/5992872

#SPJ4

Answer:

C. n=4

Step-by-step explanation:

got it

Answer:

143.2

Step-by-step explanation:

just add them together then divided by 10

The formula you have given (SS₁ + SS₂) / (n₁+ n₂) is actually the formula for the unweighted average of the variances, which is not appropriate when the sample sizes and variances are different between the two samples.

The formula for pooled variance is:

pooled variance = (SS₁+ SS₂) / (df₁ + df₂)

where SS₁ and SS₂ are the sum of squares for the two samples, df₁ and df₂ are the corresponding degrees of freedom, and the pooled variance is the weighted average of the variances of the two samples, where the weights are proportional to their degrees of freedom.

Note that the denominator is df₁ + df₂ not n₁+ n₂. The degrees of freedom take into account the sample sizes as well as the number of parameters estimated in

Learn more about “ formula for pooled variance “ visit here;

https://brainly.com/question/31450664

#SPJ4

Answer:

\(x=1~ \text{and}~ x = -6~ \text{but}~ -6 ~\text{is extraneous.}\)

Step by step explanation:

\(2-x = 3-\sqrt{7-3x}\\\\\implies \sqrt{7-3x} = 3-2+x\\\\\implies \sqrt{7-3x} = 1+x\\\\\implies 7-3x = (1+x)^2\\\\\implies 7-3x=1+2x+x^2\\\\\implies x^2+3x+2x+1-7=0\\\\\implies x^2+5x -6 =0\\\\\implies x^2+ 6x-x -6=0\\\\\implies x(x+6)-(x+6)=0\\\\\implies (x-1)(x+6)=0\\\\\implies x =1~~, x = -6\)

\(x=-6~ \text{Doesn't satisfy the original equation, so it is an extraneous solution.}\)

A random variable (denoted as X) is a numerical measure of the outcome of a probability experiment, where the value is determined by chance.

Yes, a random variable is a numerical measure of the outcome to a probability experiment, and its value is determined by chance. Random variables are used to represent the possible outcomes of an experiment and can be discrete or continuous. They are typically denoted using capital letters such as X.

The probability of a random variable taking on a certain value can be calculated using probability theory and statistical methods. In this context, "measure" refers to the quantification of an outcome, "probability" indicates the likelihood of that outcome occurring, and "experiment" represents the process through which the outcome is observed.

Learn more about Random variable:

brainly.com/question/17238189

#SPJ11

Answer:

The answer to the question provided is 622.1138211.

Rounded to the nearest tenth is 622.1

Mean of the number of adults (out of the sample of 38) with blood type b- positive (x) is 3.04

Let x be the number of adults out of 38 with blood type b-positive

Probability, p of adults with blood type b-positive=8%=0.08

Sample size, n=38

Using binomial random variable x binomial(n=38, p=0.08)

p(X=x)=\(\left \ ({{n} \atop {x}}) \right. p^{x} q^{n-x}\), where x=0,1,2,3,.....n

Mean of x:

Mean of x=(probability of adults with blood type b-positive*sample size)

So, mean of x=p*n, where n=38, p=0.08

                    =0.08*38

                    =3.04

Learn more about binomial random variable here:

https://brainly.com/question/23780714

#SPJ4

Answer:

I guess you can take x value as 0,1,2,3,4 So that you can get linear function in graph

Answer:

I'm very sorry but you would need the volume to find the width.

Step-by-step explanation:

Answer: The answer is 396 in²

Step-by-step explanation:

TRUST ME I AM TRUSTWORTHY PERSON

Based on the provided information of speed, A) Beth gets to San Francisco first. B) The first to arrive has to wait for 20 minutes for the second to arrive.

A) To find out who gets to San Francisco first, we need to calculate the time it takes for each of them to travel the distance of 400 miles.

For Brian, we use the formula time = distance / speed:

time = 400 miles / 50 mph = 8 hours

So Brian will arrive in San Francisco at 4:00 p.m. (8:00 a.m. + 8 hours).

For Beth, we use the same formula:

time = 400 miles / 60 mph = 6.67 hours

So Beth will arrive in San Francisco at 3:40 p.m. (9:00 a.m. + 6.67 hours).

Therefore, Beth gets to San Francisco first.

B) To find out how long the first to arrive has to wait for the second, we subtract the arrival time of the first from the arrival time of the second:

wait time = 4:00 p.m. - 3:40 p.m. = 0.33 hours = 20 minutes

So the first to arrive has to wait for 20 minutes for the second to arrive.

Note: The question is incomplete. The complete question probably is: Brian leaves Los Angeles at 8:00 a.m. to drive to San Francisco, 400 miles away. He travels at a steady speed of 50 mph. Beth leaves Los Angeles at 9:00 a.m. and drives at a steady speed of 60 mph. A) Who gets to San Francisco first? B) How long does the first to arrive have to wait for the second?

Learn more about Speed:

https://brainly.com/question/4931057

#SPJ11

Work Shown:

y = 15.6 - 3.8x

y = 15.6 - 3.8*3

y = 4.2

Without using a calculator, the trigonometric expressions simplify to:

1. sin^(-1)(sin(θ/6)) = θ/6

2. cos^(-1)(cos(5/4)) = 5/4

3. tan^(-1)(tan(5/6)) = 5/6.

To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.

1. sin^(-1)(sin(θ/6)):

Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.

2. cos^(-1)(cos(5/4)):

Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.

3. tan^(-1)(tan(5/6)):

tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.

Hence, without using a calculator, we find that:

sin^(-1)(sin(θ/6)) = θ/6,

cos^(-1)(cos(5/4)) = 5/4,

tan^(-1)(tan(5/6)) = 5/6.

To know more about trigonometric expressions refer here:

https://brainly.com/question/12676341#

#SPJ11

Answer:

>

Step-by-step explanation:

Even though its 0 its still greater than any negative number.

Answer:

Step-by-step explanation: