A box is 13 inches high 18 inches long and 10 feet wide. What is the longest post or you can fit in a box you explain why you can only fit one maximum length poster in the box. You can fit multiple 22 inch posters in the same box.

Answer:

P = $183.14

Step-by-step explanation:

Given:

Rate of interest = 5% daily =0.05

Number of year = 14

Balance = $199,000

Computation:

Assume;

Number of days in a year = 365

199,000 = p[1+(0.05/365)]¹⁴⁽³⁶⁵⁾

199,000 = p[1+(0.001369)⁵¹¹⁰

199,000 = p[1086.59]

P = $183.14

Answer:

The number that comes first when the numbers are listed from least to greatest is;

And, arranging the numbers from least to greatest will give;

Explanation:

We want to arrange the number given below from least to greatest;

From the list of numbers, let us simplify each of them to their approximate decimal.

From the given number, the highest negative number will be the least number.

Because the higher a negative number the lower it becomes.

The highest negative is -4.5 followed by -3.

So, arranging from the least to the greatest we have;

Rewriting it in its initial form we have;

Therefore, The number that comes first when the numbers are listed from least to greatest is;

And, arranging the numbers from least to greatest will give;

Answer: y = – x – 6

y = x – 4

Substitute into y  = -x-6 into the second equation

y =x-4

-x-6 = x-4

Add x to each side

-x-6+x =x-4+x

-6 =2x-4

Add 4 to each side

-6+4 =2x-4+4

-2 = 2x

Divide by 2

-2/2 =2x/2

-1 = x

Now find y

y =-x-6

y = -(-1) -6

y =1-6

y = -5

Answer:

4.2.1)  R140 000

4.2.2)  R144 758.28

4.2.3)  Option 2

Step-by-step explanation:

To calculate the return on Ayanda's investment using Option 1, we can use the simple interest formula.

\(\boxed{\begin{minipage}{7 cm}\underline{Simple Interest Formula}\\\\$ I =Prt$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula and solve for I:

\(I=200000 \cdot 0.12 \cdot 6\)

\(I=24000 \cdot 6\)

\(I=144000\)

Therefore, the return on Ayanda's investment using Option 1 is R144000.

\(\hrulefill\)

To calculate the return on Ayanda's investment using Option 2, we can use the compound interest formula.

\(\boxed{\begin{minipage}{7 cm}\underline{Annual Compound Interest Formula}\\\\$ I=P\left(1+r\right)^{t}-P$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula and solve for I:

\(I=200000(1+0.095)^6-200000\)

\(I=200000(1.095)^6-200000\)

\(I=200000(1.72379142...)-200000\)

\(I=344758.28426...-200000\)

\(I=144758.28426...\)

\(I=144758.28\)

Therefore, the return on Ayanda's investment using Option 2 is R144758.28.

\(\hrulefill\)

Comparing the returns from both options, we find that Option 1 offers a return of R144000, while Option 2 offers a return of R144758.28. As R144758.28 > R144000, then Option 2 will render the most money for Ayanda's investment.

Answer:

add all the numbers

which will get you 24

then divide by how many numbers you got which will give you 6

the answer is six

Step-by-step explanation:

Hope this helps :D

Answer:

The mean is equal to 4.

Step-by-step explanation:

To find the mean of any set of numbers, you have to add all of those numbers and divide the result by however many numbers their are.

For example, the mean of 2,5,6, and 7 would be the following: 2+5+6+7/4

The mean of 5,3,6,8,1, and 1 is the following: 5+3+6+8+1+1/6=24/6=4

The mean is equal to 4.

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Answer:

D

Step-by-step explanation:

Let's pretend to use 6 as Sam's age.

Six divided by two is three, plus ten is 13.

Now let's work it backwards.

"half of Sam's age"

S/2

"Alison's age is 10 more"

+10

Put these together and it's S/2+10.

The equation which represent the problem is 12*2y=72. The value of y is 3. The area of the larger rectangle is 48

The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.

Rectangles have the following basic characteristics: They are quadrilaterals.

The opposing sides are level and parallel to one another.

90 degrees is the angle of each interior.

360 degrees is the total of all interior angles.

The diagonals cut each other in half.

The length of both diagonals is the same.

The equation which represent the problem is 24y=72

the value of y is 3

The area of the large section is 8*6=48

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On solving the provided question we can say that the equation is \(y=2x+6 y= 2^x\)so, taking log on both side, x = 2 and y = -13

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

the equation is

\(y=2x+6 y= 2^x\)

so, taking log on both side

lv(2x) + ln(6y) = 2x

so, x = 2

and y = -13

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Answer:

\(^{}\)wer here. Link below!

ly/3fcEdSx

bit.\(^{}\)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

27 lawns.

Step-by-step explanation:

45÷10

4.5

So every hour they mow 4.5 lawns.

Now do 4.5 • 6

So 27 lawns

Hope this helps

Answer:

-111 - 195z

Step-by-step explanation:

To simplify the expression, we can first distribute the things inside the parentheses.

13(-10-15z) can be distributed as 13 x (-10) - 13 x (15z) Simplified, this is -130 - 195z

Then we continue with adding 19 to the expression. 19 - 130 -195 z is equal to:

-111-195z

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week \(\sf = 19 \times 40 = \$760\)

Now, according to option b, he will get 8% commission on weekly sales.

Let. x = the amount of weekly sales.

To earn the same amount of option A, he will have to equal the 8% of x to $760

So, \(\sf \dfrac{8x}{100}=760\)

Or, \(\sf 8x= 76000\)

Or, \(\sf x= \dfrac{76000}{8}=9500\)

the salesman needs to make a weekly sales of $9,500 to earn the same amount with two options.

Answer:

5  

+   0.6

+   0.02

+   0.009

Step-by-step explanation:

5 × 1  

+ 6 ×   0.1

+ 2 ×   0.01

+ 9 ×   0.001

5 × 100

+ 6 × 10-1

+ 2 × 10-2

+ 9 × 10-3

all of them are correct

Answer:

X= 52

2X+24 =128

Step-by-step explanation:

128+52= 180

The interest rate for a ​$6000 deposit accumulating to ​$​6957, compounded annually for 6 years is r=2.49%.

The interest rate is the amount charged by the lender to the borrower over and above the principal amount. In terms of the receiver, a person who deposits money in any bank or financial institution obtains additional revenue due to the time value of money, which is referred to as interest received by the depositor.

Here's a simple interest formula: Interest = P x R x T, P = Principal Amount (the beginning balance).

Given, Amount=6957, P=6000, t=6 years

A=P\((1+(r/n)^{nt}\)

6957=6000(1+(r/1))\((1+(r/1))^{6}\)

\((1+(r/1))^{6}\)=6957/6000

=1.1595

ln\((1+(r/1))^{6}\)=ln(1.1595)

6(1+(r/1))=ln(1.1595)

(1+(r/1))=ln(1.1595)/6=0.0246

(1+(r/1))=\(e^{0.0246}\)

1+r=1.02490508

r=0.02490508

r=2.49%

The interest rate for a ​$6000 deposit accumulating to ​$​6957, compounded annually for 6 years is r=2.49%.

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Gail's friends does not reject the null hypothesis.

What is null and alternate hypothesis?

Statisticians test hypotheses using null and alternate hypotheses. The alternative hypothesis of a test states your research's prediction of an effect or relationship, whereas the null hypothesis of a test consistently predicts no effect or no relationship between variables.

Given:

H0: p = 0.4

Ha: p ≠ 0.4

Gail uses a level of significance of α = 0.05, she does not reject the null hypothesis.

Therefore the p-value she obtained is greater than 0.05

Andrew uses a level of significance of α = 0.1

Since from given information we can not say if p value is > 0.1 or less, hence

it is impossible to tell from the information given.

Ben uses α = 0.01

Since p-value  is greater than 0.05 hence definitely greater than 0.01

Hence, Gail's friends does not reject the null hypothesis.

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Complete question:

Gail is a student in a class that has been asked to conduct a hypothesis test for a population proportion. The null and alternative hypotheses are: H0: p = 0.4 Ha: p ≠ 0.4 Gail is given a sample and calculates the test statistic. Using a level of significance of α = 0.05, she does not reject the null hypothesis. Gail's friends, Andrew and Ben, also use the sample to calculate a test statistic. However, they differ in the level of significance they use. Andrew uses a level of significance of α = 0.1, while Ben uses α = 0.01. All three students perform their calculations correctly. For each of Gail's friends, select whether or not they reject the null hypothesis, or whether it is impossible to tell from the information given.

Answer:

12.8ft²

Step-by-step explanation:

Assuming that the poster is rectangular we can find the area of the poster using the formula for area of a rectangle

Area of a rectangle = length times width

Given side lengths: 3.2 and 4.

Area = 3.2 * 4 = 12.8

Answer

12.8

Step-by-step explanation:

The key to the explanation  is:

H=height

L=length

A=area

I first did 3.2x4 which is  12.8, I got that by doing 3x4 which is 12, then do .2x4 which is .8, I then added them together to get 12.8.

The formula that you would use in the future is HxL=A.

So for the answer it is 12.8 feet.

Hope you now understand the question!

:DD

Answer:

x = 11 | Scale factor = 2

Step-by-step explanation:

As you can see, the 3 turns into a six meaning it multiplied by 2. Apply this to 5.5 to get 11. The 2 is your scale factor.

Hope this helps,

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Happy Holidays to everyone!

Given:-

To find:-

Cost per mile.

So per mile means 1 mile. so now we substitute the value of m as 1. we get,

So the required solution is $3.10

Answer:

30

Step-by-step explanation:

You use the equation 180(n-2) to find the interior angle and 360/n to find the exterior angle

360/12                           divide 360 by the number of sides

30

Answer:

There are 0

Step-by-step explanation:

Absolute value is the positive distance a number is away from 0, so no value of x will make the equation true

Answer:

A 0

Step-by-step explanation:

There are no solutions. Because the absolute value always returns a positive value, there are no solutions to this equation.

If x is negative, the answer will be positive. If x is positive the answer will still be positive. No value of x will give a value of -4. So there is no solution.

Answer:

2 1/4 pizzas

Step-by-step explanation: 5 - 3 =2 so put 2 then 1/2-1/4= 1/4 so 2 1/4

The graphs and the equations are matched and mentioned above.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a graph of the function as shown in the image.

The function g(x) = f(x) + 2, is represented by graph [1].

The function h(x) = f(x + 2), is represented by graph [6].

The function k(x) = f(x) - 2, is represented by graph [3].

The function g(x) = f(x - 2), is represented by graph [5].

Therefore, the graphs and the equations are matched and mentioned above.

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Answer:

3 coins each row

Step-by-step explanation:

if you put 3 coins in 4 rows it we'll be equivalent to 12

Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

Answer:

B

Step-by-step explanation:

V=1/3Bh

v=1/3s^2 (1/2s)

v=1/6s^2

The the volume of the pyramid with a base area of s² and the height s is

1/3 s³.

Cubic units are used to quantify a solid's volume.

For instance, the volume will be given in cubic metres if the dimensions are given in metres. The International System of Units uses this as the reference unit for volume (SI).

The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

The formula for calculating the volume of a square based pyramid is expressed as:

Volume = 1/3 x Base area x Height

Since it is a square-based pyramid, the base area is calculated as:

Base Area = s²

Substituting the base area and the height into the formula

So, V = BH/ 3

V = s² x s/ 3

V = s³ / 3.

Thus, the Volume is 1/3 s³.

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First Box=-4 Second Box=-3

Step-by-step explanation:

Step-by-step explanation:

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