When Mike Ordwell expanded his business he invested
$20,000 capital into his business. His assets are now $117,500,
and his liabilities are $23,980. How much more capital does
he have now than when he began his business?

How much more capital does he have now than when he began his business

Answer:

So average of a set of values is the sum of given values divided by the number of values

So, in this case the given values are 12, 9 , 4 , 8 ,7 and x (letting the 6th friend's time be x)

so the average will be:

(12 + 9 + 4 + 8 + 7 + x)/6 = 9

40 + x = 54

x = 54 - 40

x = 14 hours

Answer:

b 602.88

Step-by-step explanation:

Answer:

the answer should be 9

Step-by-step explanation:

\((256 * 3^{-5} * 6^{0} )^{-2} * (\frac{3^{-2}}{2^{3}} )^{4} * 2^{28}\)

\((256*\frac{1}{3^{5}} *6^{0})^{-2}*(\frac{3^{-2}}{2^{3}})^{4}*2^{28}\)

\((256*\frac{1}{243} *6^{0})^{-2}*(\frac{3^{-2}}{2^{3}})^{4}*2^{28}\)

\((\frac{256}{243} *6^{0})^{-2}*(\frac{3^{-2}}{2^{3}})^{4}*2^{28}\)

\((\frac{256}{243})^{-2}*(\frac{3^{-2}}{2^{3}})^{4}*2^{28}\)

\((\frac{243}{256})^{2}*(\frac{3^{-2}}{2^{3}})^{4}*2^{28}\)

\(\frac{59049}{65536}*(\frac{1}{2^{3}*3^{2}})^{4}*2^{28}\)

\(\frac{59049}{65536}*(\frac{1}{8*9})^{4}*2^{28}\)

\(\frac{59049}{65536}*(\frac{1}{72})^{4}*2^{28}\)

\(\frac{59049}{65536}*\frac{1}{26873856}*2^{28}\)

\(\frac{9}{65536}*\frac{1}{4096}*2^{28}\)

\(\frac{9}{65536*4096}*2^{28}\)

\(\frac{9}{268435456}*268435456\)

\(9\)

Answer:

the answer should be 9

Step-by-step explanation:

please mark me brainliest thanks so much i really appreciate it!

hope you have an amazing rest of your day and thanks for your time!

Answer:

1404

Step-by-step explanation:

Answer: 1326

Step-by-step explanation: There is no factorial for addition however the formula n (n+1)/2 works for this where n is the last number of your addition (in this case 51).

Would appreciate brainly <3

Answer:

C

Step-by-step explanation:

trust me c is the correct answer

Answer:

please look at detailed answers below

Step-by-step explanation:

example 1 is correct.

example 2:

x = (12 sin 15) / sin 75 = 3.22.

example 3:

x/sin 90 = 19/sin (180 - 90 -36)

x = (19 sin 90) / sin 54

= 23.5

example 4:

x/sin 53 = 7/sin (180 -90 - 53)

x = (7 sin 53)/ sin

= 9.29

The intercepts and the asymptotes of h(x) using the graph is  x-intercept -4 and y-intercept =-1

The y-intercept of a function y = f(x) is a point where its graph would meet the y-axis and is obtained by substituting x = 0. Understand the y-intercept and its formula with derivation

From the given graph

Y-intercept is the point where the curves crosses the y-axis

From the graph, the coordinate of the y-intercept is (0, -1)

X-intercept is the point where the curves crosses the x-axis

From the graph, the coordinate of the x-intercept is (-4, 0)

Study more about x and y intercepts on https://brainly.com/question/14180189

#SPJ1

Answer:

The vertical asymptote is -5

Step-by-step explanation:

You basically have to set it to 0 and then solve the equation. You should get x= -5

Answer:

Well, if Alice buys 12 shirts which each cost $18.99 the equation would be 18.99 * 12 which = 227.88

Alice spent $227.88 on 12 shirts

Step-by-step explanation:

Answer:

Well, if Alice buys 12 shirts which each cost $18.99 the equation would be 18.99 * 12 which = 227.88

Step-by-step explanation:

Answer:

25 cups of apple juice and 10 cups of sparking water.

Step-by-step explanation:

Step-by-step explanation:

Let F = The number of $5 bills and T = the number of $10 bills.  She has 15 bills total, so:

F+T = 15                

T = 15-F

She has $120 total:

$120 = ($5)*F + ($10)*T

$120 = $5*F + ($10)*(15-F)         [Substitute 15-F in place of T]

120 = 5F + 150 - 10F

-30 = -5F

6 = F

Check:

T= 15-F = 15=6 = 9

$120 = ($5)*6 + ($10)*9

$120 = $30 + $90

$120 = $120

Answer:

  33. yes

  34. no

  35. yes

  36. yes

  37. no

  38. no

Step-by-step explanation:

The distance between two points on a square grid is the root of the sum of two squares, or it is an integer. That is, the non-integer values must be the root of a 2-element subset of the set of squares: {1, 4, 9, ...}, possibly with repeated values.

The possible sums less than 9 are {2, 5, 8}.

The distances √2, √4=2, and √5 can be drawn on a grid. The others listed in these problems (√3, √6, √7) cannot.

_____

Additional comment

In general, the length of any square root can be constructed with compass and ruler. That isn't the question here. For this, we're confined to distances between grid points.

The measures of the marked angles in the figure are:

x = 0.8°

6x + 8° = 12.8°

x + 12° = 12.8°

We have that:

x + 12° and 6x + 8°.

We equate the expression: 6x + 8° = x + 12°

We then  solve for x:

6x - x = 12° - 8°

5x = 4°

We then divide  both sides by 5:

x = 4° / 5

x = 0.8°

We get the  measure of the marked angle for

6x + 8°:

6(0.8°) + 8° = 4.8° + 8° = 12.8°

We also get the measure of the marked angle as:

x + 12°:

0.8° + 12° = 12.8°

In conclusion, an  angle is formed when two straight lines or rays meet at a common endpoint.

Learn more about angles at:

https://brainly.com/question/25770607

#SPJ1

Answer:

a \(Pr = 0.25\)

b \(Pr = 0.50\)

c \(Pr = 0.1875\)

Step-by-step explanation:

Given

\(n = 4\) --- number of times

\(r = 2\) --- faces of a coin

First, is to determine the sample size.

This is calculated as:

\(Size =r^n\)

\(Size =2^4\)

\(Size =16\)

Solving (a): First and last slip is head

This event is represented as:

\(E=\{HHHH, HHTH, HTHH, HTTH\}\)

The probability is calculated as:

\(Pr = \frac{n(E)}{Size}\)

\(Pr = \frac{4}{16}\)

\(Pr = 0.25\)

b) At least 2 consecutive flips that is heads.

This event is represented as:

\(E=\{HHHH,HHHT,HHTH,HHTT,THHH,THHT,HTHH,TTHH\}\)

The probability is calculated as:

\(Pr = \frac{n(E)}{Size}\)

\(Pr = \frac{8}{16}\)

\(Pr = 0.50\)

c) First is tail and at least 2 consecutive flips is head.

This event is represented as:

\(E=\{THHH,THHT,TTHH\}\)

The probability is calculated as:

\(Pr = \frac{n(E)}{Size}\)

\(Pr = \frac{3}{16}\)

\(Pr = 0.1875\)  

Given information: $\sf\:\csc(x) = 8$, $90° < x < 180° \\$

To find $\sf\:\sin(\frac{x}{2}) \\$, $\sf\:\cos(\frac{x}{2}) \\$, and $\sf\:\tan(\frac{x}{2}) \\$:

Step 1: Rewrite the given information:

$\sf\:\csc(x) = \frac{1}{\sin(x)} = 8 \\$

Step 2: Solve for $\sf\:\sin(x) \\$:

$\sf\:\sin(x) = \frac{1}{8} \\$

Step 3: Use the half-angle identity for $\sf\:\sin(\frac{x}{2}) \\$:

$\sf\:\sin(\frac{x}{2}) = \pm \sqrt{\frac{1 - \cos(x)}{2}} \\$

Since $\sf\:90° < x < 180°$, $\sf\:\cos(x)$ will be negative, so we take the positive square root:

$\sf\:\sin(\frac{x}{2}) = \sqrt{\frac{1 - \cos(x)}{2}} \\$

Step 4: Find $\sf\:\cos(x)$ using the Pythagorean identity:

$\sf\:\sin^2(x) + \cos^2(x) = 1 \\$

Substituting $\sf\:\sin(x) = \frac{1}{8} \\$:

$\sf\:(\frac{1}{8})^2 + \cos^2(x) = 1 \\$

$\sf\:\frac{1}{64} + \cos^2(x) = 1 \\$

$\sf\:\cos^2(x) = 1 - \frac{1}{64} \\$

$\sf\:\cos^2(x) = \frac{63}{64} \\$

Taking the square root of both sides:

$\sf\:\cos(x) = \pm \sqrt{\frac{63}{64}} \\$

Since $\sf\:90° < x < 180°$, $\sf\:\cos(x)$ will be negative, so we take the negative square root:

$\sf\:\cos(x) = -\sqrt{\frac{63}{64}} \\$

Step 5: Use the half-angle identity for $\sf\:\cos(\frac{x}{2})$:

$\sf\:\cos(\frac{x}{2}) = \pm \sqrt{\frac{1 + \cos(x)}{2}} \\$

Since $\sf\:90° < x < 180°$, $\sf\:\cos(x)$ will be negative, so we take the negative square root:

$\sf\:\cos(\frac{x}{2}) = -\sqrt{\frac{1 + \cos(x)}{2}} \\$

Step 6: Find $\sf\:\tan(\frac{x}{2}) \\$ using the identity $\sf\:\tan(\frac{x}{2}) = \frac{\sin(\frac{x}{2})}{\cos(\frac{x}{2})} \\$:

$\sf\:\tan(\frac{x}{2}) = \frac{\sqrt{\frac{1 - \cos(x)}{2}}}{-\sqrt{\frac{1 + \cos(x)}{2}}} \\$

Simplifying:

$\sf\:\tan(\frac{x}{2}) = -\sqrt{\frac{1 - \cos(x)}{1 + \cos(x)}} \\$

Therefore, the values are:

$\sf\:\sin(\frac{x}{2}) = \sqrt{\frac{1 - \cos(x)}{2}} \\$

$\sf\:\cos(\frac{x}{2}) = -\sqrt{\frac{1 + \cos(x)}{2}} \\$

$\sf\:\tan(\frac{x}{2}) = -\sqrt{\frac{1 - \cos(x)}{1 + \cos(x)}} \\$

Please note that the sign of the values may change depending on the actual value of $\sf\:\cos(x)$, which is negative in this case.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

A

Step-by-step explanation:

if staci has flown 6 times as many miles as joe, you would mulitply the number of miles joe has flown by 6, or A

The definite integral represents the area of the region ∫(x²-3x)dx.

The definite integral is the region beneath the curve of y1 = x2 - 3x between its first intersection with y2 = 0 and its subsequent intersection with y2 = 0. The curve looks like this:

In order to find their intersection, we equalize them:

x2 - 3x = 0

x(x - 3) = 0

x = 0 and x = 3.

Thus, the integral is:

∫(x²-3x)dx

The area lies below the x-axis, hence the result will be negative (see graph). I would argue that we should take this integral's absolute value in order to arrive at the correct answer for the region's area as we are asked to calculate it. Just place absolute value indications all around the integral.

Know About Integral

https://brainly.com/question/22008756

#SPJ4

Answer:

Dustin Earns $14,000 in a year but in the question, we are given the salary of a month

Monthly salary of dustin:

14000 / 12 = $1,166 (approx)

Hence,

The actual monthly salary of Dustin is $1166, excluding the commissions

For a specific month, the salary of Dustin including the commissions is $2,400

Money earned in commissions:

Salary earned  - Actual monthly salary

2400 - 1166 = $1,234

We are given the sales of Dustin for that specific month = $ 18,000

Hence, Dustin Earned a commission of $1,234 for sales of $18,000

Commission rate of Dustin:

Commission Earned * 100 / Sales made

1234 * 100 / 18000

6.856 %

Therefore, the commission rate of Dustin is 6.856%

Answer:

380 seconds

Step-by-step explanation:

Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360

Now add the 20 seconds.
360 + 20 = 380

6 minutes and 20 seconds are equal to 380 seconds.

Answer:

Sure, I can help with that! Here are the steps to solve each problem:

a) Since sin A = 0.6018, we can use the inverse sine function (sin^-1) to find the measure of angle A. Taking the inverse sine of 0.6018 gives us 37.19 degrees rounded to the nearest degree.

b) Since cos B = 0.9205, we can use the inverse cosine function (cos^-1) to find the measure of angle B. Taking the inverse cosine of 0.9205 gives us 23.06 degrees rounded to the nearest degree.

c) Since tan C = 0.0349, we can use the inverse tangent function (tan^-1) to find the measure of angle C. Taking the inverse tangent of 0.0349 gives us 2.00 degrees rounded to the nearest degree.

I hope that helps! Let me know if you need any further assistance.

It appears to be a parallelogram. But without actual numerical data, I don't think it's possible to prove this or not. I could be missing something though.

Answer:

see below

Step-by-step explanation:

5/6 + ( -1 1/6)

Changing the mixed number

5/6 + - (6/6 +1/6)

5/6 + ( -7/6)

-2/6

Simplify

-1/3

Since these are divided into 6 pieces, go two pieces to the left of zero.

The algebraic expression for the sentence in this problem is given as follows:

n - (x + 8).

The sentence in this problem is given as follows:

"A number n minus the sum of the number and eight".

The sum of an unknown number x and eight is given as follows:

x + 8.

The subtraction of the number n by the expression is given as follows:

n - (x + 8).

More can be learned about algebraic expressions at https://brainly.com/question/4344214

#SPJ1

Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

Statement Problem: A mixture of paint calls for 1/3 cups of red paint and 3/4 cups of yellow paint. How many cups of red paint would be needed for every one cup of yellow paint?

Solution:

Mixture of paint contains;

For every one cup of yellow paint, there are;

The value of the equation for x is 32

PEDMAS is described as a mathematical acronym that represents the important operations during calculations.

The alphabets represents;

From the information given, we have;

-(-2)+√(-2)²-4(1)(-8)

expand the brackets

2 + -2 -4(-8)

multiply the values

2 -2 + 32

Add the values

32

Hence, the value is 32

Learn about PEDMAS at: https://brainly.com/question/345677

#SPJ1

Answer:

See Explanation

Step-by-step explanation:

Given

Let

\(s \to Strawberry\)

\(b \to Banana\)

So:

\(s:b = 2:3\)

Required

Complete the table

The table, to be complete, is not given; so, I will generate one myself.

The table is generated as follows:

Multiply by 1.5

\(s : b = 3 : 4.5\)

Multiply by 2

\(s : b = 2*2 : 2 * 3\)

\(s : b = 4 : 6\)

And so on....

In summary, whatever factor is multiplied to S must be multiplied to B

Answer:

Positive slope

Step-by-step explanation:

Because he's going up

Answer:

B, Positive

Step-by-step explanation:

Since Mrs. Powell is hiking UP,

the slope would also go up.

On a number line, the numbers going up get higher ( 1, 2, 3, ).

The altitude is getting higher, so numbers are being added.

A number with a plus ( + ) is positive.