What kind of sequence is 3/6 12 24?

Answer:

D) 1 3/4 x 4 1/6= 7 7/24

C) 7/9 x 5 2/5= 4 1/5

Done by NeighborhoodDealer

Answer:

$5,920.44

Step-by-step explanation:

The most general form to compute the amount accrued when interest is compounded with periodic contributions is given by the formula

\(A = P \dfrac{\left(1 + \dfrac{r}{n}\right)^{nt}-1}{\dfrac{r}{n}}\)

where
A = Accrued amount (principal + interest)

P = Periodic contribution to the sinking fund,

r = Annual nominal interest rate as a decimal

R = Annual nominal interest rate as a percent

r = R/100

n = number of compounding periods per unit of time

We are given A as 412,000 (amount at the end of 4 years) and asked to compute P(monthly contribution)

We have R = 18%, so r = 18/100 = 0.18

t = 4 years

n = 12 because we are compounding monthly so in 1 year we compound 12 times

Plugging these values into the equation we get

\(412000 = P \dfrac{\left(1 + \dfrac{0.18}{12}\right)^{12 \cdot 4}-1}{\dfrac{0.18}{12}}\\\\\)

We have

r/n = 0.18/12 = 0.015

1 + r/n = 1.015

nt = 12 x 4 = 48

\(412000 = P\dfrac{ (1.015)^{48} -1 } {0.015}\\\\\)

\(412000 = P \dfrac{1.043478}{0.015}\\\\412000 = P \cdot 69.5652\\\\\P = \dfrac{412000}{69.5652}\\\\\)

\(P = 5,922.4998\)

There may be differences in the given answer choices because of round off errors. The amount computed comes closest to the first answer choice

$5,920.44

Answer:

  (a)  $5920.44

Step-by-step explanation:

You want the monthly payment required to a sinking fund that is expected to have a value of $412,000 in 4 years if the account pays 18% interest.

A table of sinking fund payment values will tell you that the monthly payment required at an 18% interest rate for 4 years is $14.37 per thousand of account value.

We want the account value to be 412 thousand, so the monthly payment will need to be ...

  412 × $14.37 = $5,920.44

__

Additional comment

The actual payment required is $5922.50. Using a multiplier rounded to cents understates the payment because of rounding error.

If the more precise multiplier $14.375 per thousand is used, then the payment value would be correctly computed.

If you simply divide the desired $412000 into 48 equal payments, each would be $8,583.33. Since interest is earned, you know the payment is less than this amount. $5,920.44 is the only reasonable answer choice.

The observed allele frequencies for the T102C locus are as follows: T allele frequency = 0.388 and C allele frequency = 0.612.


To calculate the observed allele frequencies, we divide the number of occurrences of each allele by the total number of alleles observed.

In this case, the T allele is observed in 108 TT genotypes and 194 TC genotypes, giving a total of 108 + 194 = 302 T alleles. Similarly, the C allele is observed in 194 TC genotypes and 48 CC genotypes, giving a total of 194 + 48 = 242 C alleles.

To calculate the T allele frequency, we divide the number of T alleles by the total number of alleles: 302 T alleles / (302 T alleles + 242 C alleles) = 0.388 (or approximately 0.39).

Similarly, the C allele frequency is calculated as: 242 C alleles / (302 T alleles + 242 C alleles) = 0.612 (or approximately 0.61).

Therefore, the observed allele frequencies for the T102C locus are T allele frequency = 0.388 and C allele frequency = 0.612.

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To estimate the number of new users that would be added during time period 7, we can use the Bass diffusion model, which is commonly used to model the adoption of new products or technologies.

The Bass diffusion model is given by the formula:

\(\[N(t) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot t)}}}\]\)

where:

- N(t) represents the cumulative number of adopters at time \(t\).

- p is the innovation parameter, representing the coefficient of innovation.

- q is the imitation parameter, representing the coefficient of imitation.

- e is the base of the natural logarithm.

Given a population size of 67 million, an innovation parameter of 0.005, and an imitation parameter of 0.84 for Color TV, we can substitute these values into the Bass diffusion model and calculate the number of new users added during time period 7.

\(\[N(7) - N(6) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 7)}}} - \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 6)}}}\]\)

Substituting the given values into the equation:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

Evaluating the expression will give us the estimated number of new users added during time period 7.

In LaTeX, the solution can be represented as:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

After evaluating this expression, you will obtain the estimated number of new users added during time period 7.

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Answer:

4.2 gallons

67.2 cups

Step-by-step explanation:

He had 3 gallons of punch.

He added another 1.2 gallons.

The number of gallons of punch he has now is:

3 + 1.2 = 4.2 gallons

1 gallon = 16 cups

=> 4.2 gallons = 4.2 * 16 = 67.2 cups

He has 67.2 cups

Answer:

x=0 , y=1 , z=9 , t=2

number is 0123192

Step-by-step explanation:

123192 / 72 = 1711

-----

if numbers 1, 2, and 3 cant be used, then:

x=0 , y=7 , z=6 , t=8

number is 0123768

123192/72 = 1719

Answer:

y = 1, x = 0

Step-by-step explanation:

multiply -4x +9y = 9 by -2 to get 8x -18y = -18

combine the two equations to get -8y = -8

divide both sides by -8 to get y = 1

plug in 1 as the y into one of the equations and solve to get x = 0

Answer:

(0,1)

x = 0

y = 1

Step-by-step explanation:

(-4x + 9y = 9)-8

(-8x + 10y = 10)4

32x - 72y = -72

-32x + 40y = 40

-32y = -32

y= -32/-32

y=1

-4x + 9(1) = 9

-4x + 9 = 9

-4x = -9 + 9

-4x = 0

x = 0/-4

x = 0

Answer:

i). If p = 7, then each person would get 5 cookies, with 1 cookie left over.

ii). If p = 10, then each person would get 3 cookies, with 6 cookies left over.

iii). If p = 11, then each person would get 3 cookies, with 3 cookies left over.

Step-by-step explanation:

First option is wrong because 5 dividing 36 is 7, not 6. It would remain 1, not 4.

Second option is correct because 36 divided by 7 would give you 5 remaining 1.

Third option is correct because 8 dividing 36 is 4, but will remain 4, not 3.

Fourth option is correct because 36 divided by 10 is 3, then will remain 6.

Fifth option is correct because 36 divided by 11 is 3, remaining 3.

Answer:

B,D,E

Step-by-step explanation:

edge

Answer:

OA . -6

Step-by-step explanation:

correct me if I'm wrong

The 95% confidence interval for the mean weight of bags of that specific brand of candies is approximately 2.4461 ounces to 2.5539 ounces.

To construct a 95% confidence interval for the mean weight of the bags of that specific brand of candies, we can use the following formula:

Confidence Interval = Sample Mean ± (Critical Value)× (Standard Deviation / √Sample Size)

First, let's calculate the critical value. Since the population distribution is assumed to be normal and the sample size is small (n = 16), we can use a t-distribution instead of a z-distribution.

The critical value can be obtained from the t-distribution table or using statistical software. For a 95% confidence level with 15 degrees of freedom (n - 1 = 16 - 1 = 15), the critical value is approximately 2.131.

Now, we can plug in the given values into the formula:

Sample Mean = 2.5 ounces (given)

Standard Deviation = 0.1 ounces (known)

Sample Size (n) = 16 (given)

Critical Value = 2.131 (from t-distribution)

Confidence Interval = 2.5 ± (2.131)× (0.1 / √16)

Calculating the standard error (Standard Deviation / √Sample Size):

Standard Error = 0.1 / √16 = 0.1 / 4 = 0.025

Confidence Interval = 2.5 ± (2.131) × (0.025)

Calculating the bounds of the confidence interval:

Lower Bound = 2.5 - (2.131) ×(0.025)

Upper Bound = 2.5 + (2.131)×(0.025)

Lower Bound ≈ 2.5 - 0.0539 ≈ 2.4461 ounces

Upper Bound ≈ 2.5 + 0.0539 ≈ 2.5539 ounces

Therefore, the 95% confidence interval for the mean weight of bags of that specific brand of candies is approximately 2.4461 ounces to 2.5539 ounces.

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Answer:

They had 98 marbles

Answer:

6

Step-by-step explanation:

Use PEMDAS

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)

Problem: 17 - {19 - 2(1 + 3)}

Step 1:

17 - {19 - 2(1 + 3)} = 17 - {19 - 2 x 4}

Step 2:

17 - {19 - 2 x 4} = 17 - {19 - 8}

Step 3:

17 - {19 - 8} = 17 - 11

Step 4:

17 - 11 = 6

If this is correct please give me brainliest.

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

(a) The length of wire that should be used for the square in order to maximize the total area is 9 meters.

(b) Using the same 9 meters of wire for the square will result in the minimum total area as well as the maximum total area.

(a) To maximize the total area, we need to use as much wire as possible for the square and as little as possible for the triangle. Let x be the length of wire used for the square, then the length of wire used for the triangle is 9 - x.

For the square, we have:

4s = x, where s is the side length of the square.

For the equilateral triangle, we have:

3t = 9 - x, where t is the side length of the equilateral triangle.

Solving for x in terms of s and t, we get:

x = 4s and x = 9 - 3t/2.

Substituting x = 4s into x = 9 - 3t/2, we get:

4s = 9 - 3t/2

8s = 18 - 3t

t = (18 - 8s)/3

The area of the square is given by A = s^2, and the area of the equilateral triangle is given by A = (\(\sqrt{3}\)/4)t^2.

Substituting t = (18 - 8s)/3, we get:

A = (\(\sqrt{3}\)/4)((18 - 8s)/3)^2

To maximize the total area, we need to maximize A, which is a function of s. Taking the derivative of A with respect to s, we get:

dA/ds = -4\(\sqrt{3}\)(4s-9)/27

Setting dA/ds = 0, we get:

4s - 9 = 0

Solving for s, we get:

s = 9/4

Therefore, the length of wire that should be used for the square in order to maximize the total area is:

x = 4s = 9 meters.

(b) To minimize the total area, we need to use as little wire as possible for the square and as much as possible for the triangle. Let x be the length of wire used for the square, then the length of wire used for the triangle is 9 - x.

Using the same equations as in part (a), we get:

t = (18 - 8s)/3

A = (\(\sqrt{3}\)/4)((18 - 8s)/3)^2

Taking the derivative of A with respect to s, we get:

\(dA/ds = -4\sqrt{3}(4s-9)/27\)

Setting dA/ds = 0, we get:

4s - 9 = 0

Solving for s, we get:

s = 9/4

This is the same value as in part (a), which means that using 9 meters of wire for the square will result in the minimum total area as well as the maximum total area.

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The annual rate of return on this motorcycle vending machine investment is 7.67%.

To determine the annual rate of return on a motorcycle vending machine that costs $187,400 and generates $2,832 in monthly cash flows for 84 months, follow these steps:

Calculate the total cash flows by multiplying the monthly cash flows by the number of months.

$2,832 x 84 = $237,888

Find the internal rate of return (IRR) of the investment.

$187,400 is the initial investment, and $237,888 is the total cash flows received over the 84 months.

Using the IRR function on a financial calculator or spreadsheet software, the annual rate of return is calculated as 7.67%.

Therefore, the annual rate of return on this motorcycle vending machine investment is 7.67%.

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The equivalent expressions when y = 2 and y = 5 are the expressions that have the same numeric value when y = 2 and when y = 5.

Equivalent expressions are expressions that have the same numeric value.

Hence, the equivalent expressions when y = 2 and y = 5 have the same value when y = 2 and y = 5.

This numeric value is calculated replacing each instance of y by 2 when y = 2 and each instance of y by 5 when y = 5.

For example:

Different numeric values, hence not equivalent, just an example as to how you should proceed.

You will do this for all expressions, and when you find equal values for y = 2 and for y = 5, then they will be equivalent.

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The total number of seeds that Josiah would plant would be = nR×S

To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.

Let each row be represented as = nR

Where n represents the number of rows planted by him.

Let the seed be represented as = S

The total number of seeds he planted = nR×S

Therefore, the total number of seeds that was planted Josiah would be = nR×S.

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The value of f which satisfies the given equation 3f + 5 = 32 is 9. The correct option is C.

Given question is incorrect

Correct question :

Which value of f makes 3f+5=32 a true statement?

a. f=6

b. f=8

c. f=9

d. f=12

Given data :

It is required to find the value of f for which the equation 3f + 5 = 32 is satisfied.

Use simple rules of algebra to get the value of f which satisfies the given equation,

3f + 5 = 32

3f = 32 - 5

3f = 28

f = 28 / 3 = 9

Therefore, the value of f which satisfies the given equation 3f + 5 = 32 is 9 is correct option.

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Answer:

|J| = - 40

Step-by-step explanation:

(-2)(8) - (6)(4)

-16 - 24

= - 40

Answer:

250

Step-by-step explanation:

We can approximate that the scientists counted \(\frac{18}{30}=\frac{3}{5}\) of the elk.

So, the best estimate of the elk population is \(150(5/3)=250\).

Answer:1,250

Step-by-step explanation:

There is a total of 2520 ways to create an injective function.

What is an injective function?

A function f called an injective function (sometimes called an injection, or one-to-one function) translates different elements of its domain into different elements.

Now, we can create an injective function from a set of 5 elements to a set of 7 elements

Based on the definition of an injective function,

For 1st element, we have a total of 7 choices

For 2nd element, we have a total of 6 choices and so on.

So, total ways = 7*6*5*4*3 = 2520

Hence, 2520 ways are there to create an injective function.

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Answer:

if she uses a 1/4 measuring cup she would need to get 14 1/4 cups of flour

Step-by-step explanation:

Answer:

1/4.

Step-by-step explanation:

1/8 plus 1/8 is 2/8. This is because if we add the numerators it is 2, and therefore it is 2/8. This simplifies to 1/4 if you divide the numerator and denominator by 2. Hope this helps!

Answer: 1/4

Step-by-step explanation: 1/8 + 1/8= 2/8 and if you simplify that it would be 1/4 sorry if this doesn't help

The length of the segment joining the points which are given is  \(\sqrt{10}\)

To measure the distance between these two given points

The given coordinates are

Let P = P(5,-3) and Q = Q(8,-2)

By using the distance formula we get;

the distance formula is used to calculate the length of the segment when points are given as in this question

thus the distance formula is :

\(\sqrt{(x2-x1)^2 + (y2 - y1)^2}\)

here x2 = 8 and x1 = 5

and y2 = - 2 and y1 = - 3

thus on substituting the values we get

\(\sqrt{(8-5)^2 + ( -2 +3)^2}\)

= \(\sqrt{3^2 + 1^2}\)

= \(\sqrt{10}\)

Thus the length of the segment is  \(\sqrt{10}\) units

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The conversion of decimal number directly to binary number will be faster.

The number conversion deals with the operation to change the base of the number.

Binary number - It contains only 2 numbers that are 1 and 0.

Decimal number - It contains 10 numbers that are from 0 to 9.

Hexadecimal number - It contains 16 numbers that are from 0 to F.

Convert the decimal number 431 to binary will be

431 / 2 = 215 with 1 remainder

215 / 2 = 107 with 1 remainder

107 / 2 = 53 with 1 remainder

53 / 2 = 26 with 1 remainder

26 / 2 = 13 with 0 remainder

13 / 2 = 6 with 1 remainder

6 / 2 = 3 with 0 remainder

3 / 2 = 1 with 1 remainder

1 / 2 = 0 with 1 remainder

The decimal number 431 to binary number will be 110101111.

Convert first to hexadecimal and then from hexadecimal to binary. Then we have

(431)₁₀ = (1AF)₁₆ = (110101111)₂

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Answer:

s = 156.25 square meters

Step-by-step explanation:

s = 2lw + 2lh + 2wh

s = 2(5.5)(3) + 2(3)(7.25) + 2(5.5)(7.25)

s = 33 + 43.5 + 79.75

s = 156.25 square meters

Answer:

We know,

\( \quad \)\({\boxed{ \rm{Surface \: Area_{ \: (rectangular \: prism)} = 2(lb + bh + hl)}}}\)

where,

\( \: \)

\( {\longrightarrow { 2 ( 5.5 \times 3 + 3 \times 7.25 + 7.25 \times 5.5 ) }} \)

\( \longrightarrow \) 2 ( 16.5 + 21.75 + 39.875 )

\( \longrightarrow \) 2 ( 78.125 )

\( \longrightarrow \) 156.25

Thus, The Surface Area of rectangular prism is 156.25cm².

\( \rule{200pt}{2pt} \)

\(\footnotesize{\boxed{ \begin{array}{cc} \small\underline{ \sf{\pmb{ \blue{More \: Formula}}}} \\ \\ \bigstar \: \bf{CSA_{(cylinder)} = 2\pi \: rh}\\ \\ \bigstar \: \bf{Volume_{(cylinder)} = \pi {r}^{2} h}\\ \\ \bigstar \: \bf{TSA_{(cylinder)} = 2\pi \: r(r + h)}\\ \\ \bigstar \: \bf{CSA_{(cone)} = \pi \: r \: l}\\ \\ \bigstar \: \bf{TSA_{(cone)} = \pi \: r \: (l + r)}\\ \\ \bigstar \: \bf{Volume_{(sphere)} = \dfrac{4}{3}\pi {r}^{3} }\\ \\ \bigstar \: \bf{Volume_{(cube)} = {(side)}^{3} }\\ \\ \bigstar \: \bf{CSA_{(cube)} = 4 {(side)}^{2} }\\ \\ \bigstar \: \bf{TSA_{(cube)} = 6 {(side)}^{2} }\\ \\ \bigstar \: \bf{Volume_{(cuboid)} = lbh}\\ \\ \bigstar \: \bf{CSA_{(cuboid)} = 2(l + b)h}\\ \\ \bigstar \: \bf{TSA_{(cuboid)} = 2(lb +bh+hl )}\\ \: \end{array} }}\)

The sine rule is the ratio of perpendicular and hypotenuse. Then the length of the hypotenuse is 3 units.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

Then the length of the hypotenuse is given by the sine rule.

\(\rm \sin \theta = \dfrac{Perpendicular}{Hypotenuse}\)

We have

θ = 45°

P = 3√2

Then we have

\(\rm H = 3\sqrt2 \sin 45^o\\\\H = 4.2426 \times 0.7071\\\\H = 2.9999 \approx 3\)

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The equation can be used to find the measures of angle LJK is LJK = 180 - (JKL + KLJ) This equation is based on the fact that the measures of the angles in any triangle add up to 180 degrees.

To find the measures of angle LJK, we can use the equation: LJK = 180 - (JKL + KLJ).  to find the measure of any given angle, we must subtract the measures of the other two angles from 180. In this case, we're looking for the measure of angle LJK, so we'll subtract the measures of the other two angles, JKL and KLJ, from 180. This will give us the measure of angle LJK. This equation is useful in finding the measure of any given angle, as long as we know the measures of the other two angles, as it is based on the fact that the measures of the angles in any triangle add up to 180 degrees.

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Based on the graph, the slope of this line is equal to 2/3.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Based on the information provided in the graph, we can logically deduce the following data points on the line:

Points on x-axis = (2, 5).

Points on y-axis = (6, 8).

Substituting the given data points into the slope formula, we have the following;

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (8 - 6)/(5 - 2)

Slope, m = 2/3.

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