Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.

Answer:

the amount of Basil Yamey's capital is £16,480.

Step-by-step explanation:

To calculate Basil Yamey's capital, we need to add up the value of his assets and subtract his liabilities.

The value of his assets is:

Van: £9,000

Market stall: £1,800

Computer: £280

Inventory of goods: £11,200

Cash in hand: £900

Money in the bank: £6,300

Total value of assets = £9,000 + £1,800 + £280 + £11,200 + £900 + £6,300 = £29,480

His liabilities are:

Amount still owed for inventory of goods: £5,000

Amount borrowed from Luca Pacioli: £8,000

Total liabilities = £5,000 + £8,000 = £13,000

Therefore, Basil Yamey's capital is:

Capital = Total value of assets - Total liabilities

Capital = £29,480 - £13,000 = £16,480

So the amount of Basil Yamey's capital is £16,480.

Answer:

Basil Yamey's capital is the total amount of money that he has invested in his business. This can be calculated as the sum of the cost of the assets that he has purchased, minus any outstanding debts, plus any cash or cash equivalents he has on hand.

The cost of the assets that Basil has purchased is:

£9,000 (van) + £1,800 (market stall) + £280 (computer) + £11,200 (inventory) = £21,280

He still owes £5,000 for the inventory, so the total cost of the assets minus the outstanding debt is:

£21,280 - £5,000 = £16,280

He borrowed £8,000, so the total amount of his capital is:

£16,280 + £8,000 = £24,280

He also has cash on hand and in the bank:

£900 (cash) + £6,300 (bank balance) = £7,200

So, Basil Yamey's total capital is £24,280 + £7,200 = £31,480.

Responder:

a) 15 cm x 5 cm x 7 cm Explicación paso a paso:

Nota: no se adjuntó ninguna imagen a esta pregunta, sin embargo, podemos proceder a una solución a este problema.

Paso uno: Datos dados Podemos deducir de las opciones que los parámetros de la caja son los siguientes

Largo L = 15cm

Ancho W = 5cm

Altura H = 7 cm

Segundo paso: El espacio que ocupa la caja en el armario es equivalente al volumen de la caja. Por tanto, el volumen de la caja se expresa como

Volumen = L * W * H

Volumen = 15 cm * 5 cm * 7 cm

Por tanto, la opción A es correcta

Step-by-step explanation:

Just subscribed wish you the best on your channel!!!

The equation that represents this function is y = -3x + 8

From the question, we have the following parameters that can be used in our computation:

X: 0,5,10,15

Y: 8,-7,-22,-37

A linear relation is represented as

y = mx + c

Where

c = y when x = 0

Using the above as a guide, we have the following:

c = 8

So, we have

y = mx + 8

Using the points on the table, we have

5m + 8 = -7

This gives

5m = -15

m = -3

So, the function is

y = -3x + 8

Hence, the function is y = -3x + 8

Read more about linear relation at

https://brainly.com/question/28732353

#SPJ1

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

For more such questions on rank

https://brainly.com/question/28839672

#SPJ8

a. exponential function is\(y = 397,000*(1+0.03)^t\) b. Rounding to the nearest thousand, the population after 15 years will be 605,000

A mathematical function with the following formula is an exponential function:

\(f(x) = a^x\)

where x: input variable and an is a positive constant known as the base. As x increases or decreases, the value of the function either rises or falls exponentially. In other words, the function always increases or decreases at a rate that is proportionate to its current value.

a. The formula: can be used to create an exponential function that depicts the population after t years.

\(y = y 0 * (1 + r)^t\)

where t: number of years, r: yearly growth rate expressed as a decimal, and y 0 is the initial population.

The initial population in this instance is 397,000, and the yearly growth rate is 3%, or 0.03 in decimal form. The exponential function that depicts the population after t years is as follows:

\(y = 397,000 * (1 + 0.03)^t\)

b. We may change the exponential function we discovered in part a to include t = 15 to determine the population after 15 years:

\(y = 397,000 * (1 + 0.03)^(15)y = 605,464\)

After 15 years, the population will be roughly 605,000, to the nearest thousand.

Learn more about exponential function here:

https://brainly.com/question/31142122

#SPJ1

Chris' gross pay for the week after selling computer equipment worth $17,000 is $2,600.

The gross pay is the addition of the base pay and the sales commission.

The sales commission is graduated and computed as follows:

Chris' base pay = $300

Sales Commissions:

First $5,000 = 10%

Above $5,000 = 15%

Last week's sales = $17,000

10% Commission = $500 ($5,000 x 10%)

15% Commission = $1,800 ($17,000 - $5,000 x 15%)

Total Commission = $2,300

Gross pay = Base Pay + Commission

= $2,600 ($300 + $2,300)

Learn more about the gross pay at https://brainly.com/question/4356180.

#SPJ1

We know that the sum of the internal angles is equal to 180°, then we write and solve a linear equation to see that the missing angle is 94°.

Remember that for any triangle, we know that the sum of the interior angles is equal to 180°.

In this case we know that two of the angles have a measure of 62° and 24°, and if the third angle is x, then we can write the linear equation:

62° + 24° + x = 180°

To solve this we need to isolate x, we will get:

x = 180° - 24° - 62°

x = 94°

So the measure of the third interior angle is 94 degrees.

Learn more about interior angles by reading:

https://brainly.com/question/25215131

#SP1

Answer:

a. (23.4%, 38.9%)

Step-by-step explanation:

Р = x/∝ = 52/167 = 0.3114

At 95% confidence level

∝ = 1 - 0.95 = 0.05

Zerit = Z0.05/2 = 1.96

Р ± Zerit \(\sqrt{P(1-P) / n}\)

= 0.3114 ± 1.96 \(\sqrt{0.3114(1-0.3114) / 167}\)

= 0.3114 ±  0.0702

= 0.2412 or 0.3816

= 24.1% or 38.1%

Closest Option = 23.4%, 38.9%

A 95% confidence interval for the true percentage of individuals whose favorite animal is a dog is (23.4%, 38.9%)

The formula for calculating the confidence interval based o proportion is expressed according to the formula:

\(p\pm z\sqrt{\frac{p(1-p)}{n} }\)

z is the z-score at 95% confidence interval

p is the proportion

n is the sample size

Given the following parameters

p = 52/167 = 0.31

z = 1.96

n = 167

Substitute the given parameters into the formula to have:

\(CI=0.31 \pm 1.96\sqrt{\frac{0.31(1-0.31)}{167} } \\CI=0.31 \pm 1.96\sqrt{\frac{0.31(0.69)}{167} } \\CI=0.31 \pm 1.96(0.035)\\CI=0.31\pm 0.0701\\CI = (0.31-0.0701, 0.31+0.0701)\\CI=(0.234, 0.389)\)

Hence a 95% confidence interval for the true percentage of individuals whose favorite animal is a dog is (23.4%, 38.9%)

Learn more on confidence interval here: https://brainly.com/question/17212516

The test statistic t-value is calculated for this scenario.

What is test statistic?

The degree to which your data's distribution resembles that predicted under the null hypothesis of the statistical test you are applying is shown by a test statistic.

The central tendency and variance surrounding the central tendency can be used to characterise the distribution of data, which is how frequently each observation happens. It's critical to select the appropriate statistical test for your hypothesis since different statistical tests predict various types of distributions.

In the given case population, the standard deviation is unknown. sample standard deviation and sample mean are given so we can calculate the t value.

Hence, the t-value is calculated for this scenario.

To learn more about test statistics

https://brainly.com/question/15525560

#SPJ1

The area of the tulip border, or the shaded region, of this figure in square feet is 32

The formula that is used for calculating the area of a rectangle is expressed as;

A = lw

Such that the parameters are;

From the information given, we have that the tulip is in a 3 -foot border from the larger rectangle

Then, we have  that;

Length = 10 - 6 = 4

Width = 14 - 6 = 8

Substitute the values

Area = 4(8) = 32 ft²

Learn more about area at: https://brainly.com/question/25292087

#SPJ1

Answer:

I solved the problem for you

Step-by-step explanation:

3n/4 + z/3 + 8

(3/4n + 1/3z) + 8

15y + 20

5(3y +4)

Answer:

i dont got it but hey :D

Step-by-step explanation:

Answer:

y

a= ——

(r + 1 )t

Step-by-step explanation:

divide both sides

Answer:100,000

Step-by-step explanation:

Answer:

16.2

Step-by-step explanation:

By geometric mean theorem:

\( {9}^{2} = 5(x) \\ \\ \implies \: 81 = 5x \\ \\ \implies \: x= \frac{81}{5} \\ \\ \implies \: x=16.2\)

Step-by-step explanation:

\(\displaystyle \bullet\ \quad \sf \red{\int \dfrac{1}{x\sqrt{x^n-1}}\ dx}∙ \)

\(\displaystyle \sf \red{\int \dfrac{1}{x\sqrt{x^n-1}}\ dx}\)

\(\displaystyle\int \sf \dfrac{x^{n-1}}{x^n\ \sqrt{x^n-1}}\ \)

\( \longmapsto\sf=\sqrt{x^n-1}u= x n −1\)

\( \longmapsto \sf ^2=x^n-1u2 =x n −1\)

\( \longmapsto\sf u^2+1=x^nu 2 \)

\( \sf 2u\ \longmapsto \: du = nx^{n-1}\)

\( \longmapsto\sf \dfrac{2u}{n}\ du=x^{n-1}\)

\(\displaystyle \longrightarrow \quad \int \sf\dfrac{\frac{2u}{n}}{(u^2+1)\ u}\)

\(\longrightarrow \quad \sf \dfrac{2}{n}\ \int \dfrac{1}{u^2+1}\)

\(\displaystyle \longrightarrow \quad \sf \dfrac{2}{n}\ tan^{-1}(u)+c\)

\(\displaystyle \quad \sf \pink{\longrightarrow \dfrac{2}{n}\ tan^{-1} \left( \sqrt{x^n-1} \right) +c}\)

Hope It Helps!

Below are some general reasons why a questionnaire might not be suitable:

Poorly constructed questions: If the questions in the questionnaire are not clear, ambiguous, leading, or biased, then the responses obtained may not be accurate or reliable. Poorly constructed questions may also lead to confusion, misunderstandings, and errors.

Lastly Inadequate sampling: If the sampling technique used to select respondents is not representative of the target population, then the results obtained may not be generalizable or applicable to the larger population. The sample size and composition may also affect the validity and reliability of the results.

Learn more about questionnaire here:

https://brainly.com/question/25257437

#SPJ1

I agree that Freddy ate 1 / 8 of the brownies in the pan because two brownies represents 1 / 8 of the brownies in the pan.

The large pan is said to have been used to make 16 brownies which means that if Freddy ate 2 brownies out of this, the proportion that he would have eaten of the cookies in the pan is:

= Number of brownies Freddy ate / Number of total brownies in the large pan

= 2 / 16

= 1 / 8

This therefore shows that Freddy's friend was right in saying that Freddy ate 1 / 8 of the brownies in the pan.

Find out more on brownies at https://brainly.com/question/12638126

#SPJ1

Full question is:

A large pan is used to make 16 brownies. Freddy had two of the brownies from a large pan. His friend said he ate 1/8 of the brownies in the pan. Tell why you agree or disagree.

Answer: C

Step-by-step explanation:

Point D is at -14 on the number line.

In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).

Since E is the midpoint of line segment CD, we can logically deduce the following relationship:

Line segment CD = Line segment C + Line segment D

Midpoint E = (point C + point D)/2

By substituting the given points into the equation above, we have the following:

-3 = (8 + D)/2

-6 = 8 + D

D = -6 - 8

D = -14

Read more on midpoint here: brainly.com/question/17918978

#SPJ2

Answer:

x = 10/243

Step-by-step explanation:

3^5x = 10

243x = 10

Divide 243 on both sides

10/243

The decimal representation of the given sequence is 4,063.21.

The given sequence can be interpreted as follows: "63 ones, 21 hundredths, 4 thousand." To convert this sequence into decimal form, we need to understand the place value of each digit.

Starting from the left, we have "63 ones." This means we have 63 units, which can be represented as 63.

Next, we have "21 hundredths." Since there are two digits after the decimal point, the number becomes 0.21.

Finally, we have "4 thousand." Considering the place value, 4 thousand would be written as 4,000.

Putting it all together, we have 63 + 0.21 + 4,000, which equals 4,063.21. Therefore, the decimal representation of the given sequence is 4,063.21.

For more such questions on decimal

https://brainly.com/question/28393353

#SPJ8

Answer:

42

Step-by-step explanation:

Answer:

31.25

Step-by-step explanation:

Divide 250 by 8=31.25

Answer:

the probability of the candidate to lose is 1

The ratio is \(\frac{3}{2}\) in its simplest form.

If the probability of choosing an even card is \(\frac{3}{5}\) , then the probability of choosing an odd card is 1- \(\frac{3}{5}\) = \(\frac{3}{2}\).

Let e be the number of even cards Alisha has, and let o be the number of odd cards. Then, we have:

\(\frac{e}{e+0}\)

which simplifies to:

5e=3(e+o)

Expanding the right side gives:

5e=3e+3o

Simplifying further gives:

2e=3o

Dividing both sides by 2 gives:

e= \(\frac{3}{2}\)o

\(\frac{3}{2}\)

Probability is a branch of mathematics that deals with the study of random events or experiments. It involves the analysis of the likelihood or chance of an event occurring, usually expressed as a number between 0 and 1, where 0 indicates that the event will not occur and 1 indicates that the event is certain to occur.

To know more about Probablity, click here,

https://brainly.com/question/16722133

#SPJ1

The maximum daily profit the company can earn is $2,350.

It is a set of points in a coordinate plane that represents the values of the function for different inputs.

The function P(x) = −6x² + 156x + 1,000 models the daily profit of the company, where x is the number of $5 price increases for each solar panel. The graph of the function has a vertex at approximately (15, 2350), which represents the maximum point on the graph.

Therefore, the maximum daily profit the company can earn is $2,350.

To know more about profit visit:

brainly.com/question/29959522

#SPJ1

Answer:

11

Step-by-step explanation:

we know this because there are 5 people saying they have 3 and 6 people saying they have between 4-7

Answer: 50

Step-by-step explanation:

Ok, we have the equation:

C=4000x-100x²+x³

Notice that the leading coefficient in this equation is positive, this means that as the value of x increases, also will the value of C.

Then we will not have a maximum, because as x →∞, C(x) →∞.

By doing an online search i found this same question, but with the change that we want to find x such that the average cost is minimum (this makes more sense).

Then let's do that:

The total cost for making x pieces is:

C(x) = 4000x-100x²+x³

Then the average cost, or the cost per piece, will be:

F(x) = C(x)/x = 4000 - 100*x + x^2

Notice that F(x) is a quadratic function with a positive leading coefficient, then the arms of the quadratic function will open upwards, this means that the minimum will be at the vertex.

To find the minimum, we must look at the zeros of the first derivation of F(x):

F'(x) = dF(x)/dx = -100 + 2*x

The zero is when:

F'(x) = 0 = -100 + 2*x

          100/2 = x

             50 = x

Then the number of x that minimizes the average cost is x = 50.