Considering it's concept, it is found that the net worth of the individual is given by:
D) $26,595.
What is the net worth of an individual?It is given by the sum of the individual assets subtracted by the sum of it's liabilities.
Researching the problem on the internet, we have that:
The sum of the assets, in dollars, is of 545 + 165000 + 6100 = 171645.The sum of the liabilities, in dollars, is of 144000 + 1050 = 145050.Hence, his net worth is given by:
N = 171645 - 145050 = $26,595.
More can be learned about net worth at https://brainly.com/question/12371230
The net worth of the individual with assets worth $171,645 and liabilities of $145,050 is D) $26,595.
What is the net worth?The net worth is the value of assets less the value of liabilities.
The net worth shows the amount by which the assets have increased or decreased in value versus the liabilities.
Data and Calculations:Assets = $171,645
Liabilities = $145,050
Net worth = $26,595 ($171,645 - $145,050)
Thus, the net worth of the individual with assets worth $171,645 and liabilities of $145,050 is D) $26,595.
Learn more about net worth at https://brainly.com/question/12371230
Find the measure of the following arc.
mJH = ____
Step-by-step explanation:
the inner angle of 2 crossing segment lines is half of the sum of the 2 arc angles.
55 = (arc angle IG + arc angle JH)/2 = (76 + JH)/2
110 = 76 + JH
arc angle JH = 34°
The required arc angle JH measures 34 degrees.
What is a chord?In geometry, a chord is a line segment that connects two points on the circumference of a circle. The two endpoints of the chord lie on the circle, and the chord divides the circle into two segments - the major segment and the minor segment.
Given the problem, we are given that the inner angle measures 55 degrees. Thus, we can set up an equation using the formula and solve for the unknown value.
The equation is given as follows:
55 = (arc angle IG + arc angle JH)/2
We know that the arc angle IG measures 76 degrees, so we can substitute this value into the equation:
55 = (76 + arc angle JH)/2
Multiplying both sides of the equation by 2 yields:
110 = 76 + arc angle JH
Subtracting 76 from both sides of the equation gives:
arc angle JH = 34°
Therefore, the arc angle JH measures 34 degrees.
Learn more about chords here:
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the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 58 in, find its length and width
Answer:
Width = 12in, Length = 17in
Step-by-step explanation:
We can create two expressions from the given statements:
1) L (length) = 5 + W (width)
and
2) 58 = 2L + 2W (the equation for rectangular perimeter)
Substituting L from the first equation into the second equation yields:
58 = 2(5+W) + 2W
Distributing the 2 and solving for W yields:
12in = W
Plug this back into the first expression,
L = 5 + 12
L = 17in
Answer:
width = 12 in
length = 17 in
Step-by-step explanation:
Let width of rectangle = x
⇒ length of rectangle = x + 5
Given:
Perimeter = 58 inPerimeter = 2 × width + 2 × length
⇒ 58 = 2x + 2(x + 5)
⇒ 58 = 2x + 2x + 10
⇒ 58 = 4x + 10
⇒ 48 = 4x
⇒ x = 12
Therefore,
width = x = 12 in
length = x + 5 = 12 + 5 = 17 in
If total assets increased $150,000 during the year and total liabilities decreased $60,000, what is the amount of owner’s equity at the end of the year?
Answer:
$710,000
Step-by-step explanation:
The computation of the owner’s equity at the end of the year is given below:
We know that
The accounting equation equals to
Total assets = Total liabilities + owners equity
where,
Total assets = $800,000 + $150,000 = $950,000
And, the total liabilities = $300,000 - $60,000 = $240,000
So, the owners equity at the end of the year would be
= $950,000 - $240,000
= $710,000
Find the values of x for which the denominator is equal to zero for 3x+5/x-6 .
x = 6
none
x = −5
x = −6
Answer:
x=6
Step-by-step explanation:
please mark me as brainlest
Suppose that f(x)=6/x^7 find the following
F’(2)
F’(-1)
Answer:
f’(2) = -21/128
f’(-1) = -42
Step-by-step explanation:
We are given a function:
[tex]\displaystyle \large{f(x)=\frac{6}{x^7}}[/tex]
We want to evaluate f’(2) and f’(-1). Keep in mind that f’(x) denotes or means the derivative of f(x). So what we are going to do first is to find the derivative of given function.
Derive the function, there are two ways to derive it, either using power rules or quotient rules. For this, I’ll demonstrate two methods.
Power Rules
If [tex]\displaystyle \large{f(x)=x^n}[/tex] then [tex]\displaystyle \large{f\prime (x)=nx^{n-1}}[/tex] where n is any real numbers.
Since the function is written in a fraction form, we’ll have to convert it to the x^n form using law of exponent.
[tex]\displaystyle \large{f(x)=\frac{6}{x^7} \to f(x)=6\cdot \frac{1}{x^7}}[/tex]
Law of Exponent I
[tex]\displaystyle \large{\frac{1}{a^n} = a^{-n}}[/tex]
Therefore:
[tex]\displaystyle \large{f(x)=6x^{-7}}[/tex]
Then derive the function using power rules:
Property of Differentiation I
[tex]\displaystyle \large{y=kf(x) \to y\prime = kf\prime (x)}[/tex] where k is a constant.
[tex]\displaystyle \large{f\prime (x)=6\cdot -7x^{-7-1}}\\\displaystyle \large{f\prime (x)=6\cdot -7x^{-8}}\\\displaystyle \large{f\prime (x)=-42x^{-8}}[/tex]
Quotient Rules
[tex]\displaystyle \large{y=\frac{f(x)}{g(x)} \to y\prime = \frac{f\prime (x)g(x)-f(x)g\prime (x)}{[g(x)]^2}}[/tex]
If f(x) = k or a constant then:
Property of Differentiation II
[tex]\displaystyle \large{y=k \to y\prime = 0}[/tex] for k is a constant.
[tex]\displaystyle \large{y=\frac{k}{g(x)} \to y\prime = \frac{0\cdot g(x)-kg\prime (x)}{[g(x)]^2}}\\\displaystyle \large{y\prime = \frac{-kg\prime (x)}{[g(x)]^2}}[/tex]
Therefore:
[tex]\displaystyle \large{f\prime (x)=\frac{-6\cdot 7x^{7-1}}{[x^7]^2}}\\\displaystyle \large{f\prime (x)=\frac{-42x^6}{x^{14}}}\\\displaystyle \large{f\prime (x)=-42x^{6-14}}\\\displaystyle \large{f\prime (x)=-42x^{-8}}[/tex]
Laws of Exponent used above:
[tex]\displaystyle \large{(a^n)^m = a^{nm}}\\\displaystyle \large{\frac{a^n}{a^m} = a^{n-m}}[/tex]
Therefore the derivative of function is:
[tex]\displaystyle \large{f\prime (x) = -42x^{-8}}[/tex] or [tex]\displaystyle \large{f\prime (x)=-\frac{42}{x^8}}[/tex]
Next is to substitute x = 2 and x = -1 in the derivative.
[tex]\displaystyle \large{f\prime (2)=-\frac{42}{2^8}}\\\displaystyle \large{f\prime (2) = -\frac{42}{256}}\\\displaystyle \large{f\prime (2)= -\frac{21}{128}}[/tex]
And:
[tex]\displaystyle \large{f\prime (-1)=-\frac{42}{(-1)^8}}\\\displaystyle \large{f\prime (-1) = -\frac{42}{1}}\\\displaystyle \large{f \prime (-1) = -42}[/tex]
Therefore, f’(2) = -21/128 and f’(-1) = -42.
50 points
Maya puts groceries into bags. The terms and their weights in kilograms are given below.
Bread 0.27
Bananas 49/100
Cheese 75/100
Carrots 0.49
Grapes 27/100
Eggs 0.75
Plot the weight in kilograms of each item on the number line below
⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
Answer:
see attached
Step-by-step explanation:
The values are plotted on the number line attached.
__
Each value is represented on the list both as a fraction and as a decimal. Equal values map to the same point on the number line.
0.27 = 27/100
0.49 = 49/100
0.75 = 75/100
The location on the number line is found by effectively dividing the distance between 0 and 1 into 100 parts, then locating the point on the corresponding division. The attached number line shows the interval divided into 50 parts, so the given values will lie halfway between the grid marks on this number line.
HELP ME! PLEASE!
Help me!j
Answer:
C is the correct answer hope i helped
Step-by-step explanation:
Find the area
Can someone pls help me?
Find the mass of an object that has a weight of 910kg
Answer:
91kg
Step-by-step explanation:
weight= mass × gravitational force
910kg = m× 10ms^-2
m= 910÷ 10
m= 91
Sam has a small paper delivery business. His parents require him to to save $1 every $5 he earns. If he made $200, how much would he need to save
Simplify.
3t-t•t•t+3(-2t)+t
A. -1- 24
B. 1-24
C. -51
D. -70
Answer:
3t - t.t.t +3(-2t) + t
3t - t³ - 6t + t
3t - 6t + t - t³
-2t - t³
Option A is correct
Look at the image below. What is the area of the parallelogram? by Middle School
Apply Pythagorean theorem
[tex]\\ \rm\rightarrowtail B^2=2.2^2-2^2[/tex]
[tex]\\ \rm\rightarrowtail B^2=5-4[/tex]
[tex]\\ \rm\rightarrowtail B^2=1[/tex]
[tex]\\ \rm\rightarrowtail B=1[/tex]
Base=1+3=4Area:-
Base×Height4(2)8units^2Answer:6
Step-by-step explanation:
I did the test
can you show me how to do this problem 11/5 + 23/10 =
Answer:
The answer to the problem is 4 1/2
Answer:
9/2
Step-by-step explanation:
the answer is 9/2 or 4.5,
the solution for that I have attached below
MARK ME AS BRAINLISTWhat is the philtrum?
A. The creases in your lips
B. Centered and above your top lip where it dips down
C. Parts of your eyelids
D. The space between your nostrils
Answer:
Center and above your top lip where it dips down....
SOMEONE PLSSS HELP ME FAST
WILL MARK BRAINLIEST
Answer:
D. 45
Step-by-step explanation:
To find out how many games will be played with 10 people, we need to first find the pattern of the given table. To start out, we can see that for the numbers of players added, it adds one each time it goes up one number. And, we can also see that starting at 1 games played, it adds 2 for the next and gets 3 games. Then it adds 3 to get 6 games. So, we can see that for every added person added, it starts at 1 and adds 2, then adds, 3, 4, 5, 6, etc... Knowing this, we can figure out how many games will be played with 10 people.
2 people gets 1 games
+1 +2
3 people get 3 games
+1 +3
4 people get 6 games
So, now we can simply skip to 6 and seven players becuase we know that the pattern holds true to itself.
6 people get 15 games
+1 +6
7 people get 21 games
+1 +7
8 people get 28 games
+1 +8
9 people get 36 games
+1 +9
10 people get 45 games
1. Match the picture of the triangle to the correct name for its center,
1. d 2. a 3. c 4. b
Step-by-step explanation:[tex]1.d\ \{The\ intersection\ of\ three\ high\ lines\}[/tex]
[tex]2.\ a[/tex]
[tex]3.\ C[/tex]
[tex]4.\ b\ \{The\ intersection\ of\ three\ angular[/tex]
[tex]bisectors\}[/tex]
I hope this helps you
:)
Answer:
dbcaStep-by-step explanation:
Various centers are defined for a triangle, depending on how they're constructed. Here, you're asked to match the construction with the name.
__
OrthocenterThe orthocenter is the intersection of the altitudes of the triangle. Each altitude intersects a vertex and is orthogonal to the opposite side. The orthocenter will not be inside the triangle if the triangle is obtuse. The orthocenter of a right triangle is the right-angle vertex.
Figure D depicts the intersection of altitudes.
__
IncenterThe incenter is the center of an inscribed circle of a triangle. The incenter must be the same distance from each side, so will be at the point of intersection of the angle bisectors. It always lies inside the triangle.
Figure B depicts the intersection of angle bisectors.
__
CentroidThe centroid is the "center of gravity" of the triangle, the point at which the triangle could be balanced. Each median divides the triangle into two equal areas, so the intersection of medians marks a spot with equal area (weight) in every pair of opposite directions.
Figure C depicts the intersection of medians.
__
CircumcenterThe circumcenter is the center of a circle that circumscribes the triangle. It is equidistant from the three vertices, so lies on the intersection of the perpendicular bisectors of the sides. It will lie outside the triangle for obtuse triangles. It is the midpoint of the hypotenuse of a right triangle.
Figure A depicts the intersection of perpendicular bisectors of the sides.
Drag each figure to show if it is similar to the figure shown or why it is not similar.
1st one - not similar diff ratio2nd- similar3rd- not similar diff shape4- not similar diff ratio5- similar6- not so sure but i would go w either not similar diff shape or similar
the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 56 in, find its length and width
Answer:
Width: 11.5 inches; Length: 16.5 inches
Step-by-step explanation:
Let l=length and w=width
l=w+5
2(w+5)+2w=56
4w=46
w=11.5, l=16.5
Answer:
Length = 16.5 inchesWidth = 11.5 inches⠀
Step-by-step explanation :
⠀
As it is given that, the length of a rectangle is 5 in longer than its width and the perimeter of the rectangle is 56 in and we are to find the length and width of the rectangle. So,
⠀
Let us assume the width of the rectangle as x inches and therefore, the length will be (x + 5) inches .
⠀
Now, According to the Question :
⠀
[tex]{\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{2 ( x + 5 + x )= 56 }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{2 ( 2x + 5 )= 56 }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ 4x + 10= 56 }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ 4x = 56 - 10}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ 4x = 46}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ x = \dfrac{46}{4} }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 11.5}} }}} }\: \: \bigstar[/tex]
⠀
Therefore,
The width of the rectangle is 11.5 inches .⠀
Now, We are to find the length of the rectangle:
[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = x + 5 }}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = 11.5 + 5 }}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{\underline{\boxed { \frak{\pmb{Length = 16.5}}}}}} \: \: \bigstar[/tex]
⠀
Therefore,
The length of the rectangle is 16.5 inches .⠀
Kara mixes different colors of paint to create new colors. The table shows the amount of paint Kara mixes per batch.
Select all the batches that will create the same colors as the first batch.
A. Batch 2
B. Batch 3
C. Batch 4
D. Batch 5
E. Batch 6
Answer:
I've done this question: Its batch 5
Step-by-step explanation:
It has to be all equal proportions
Step-by-step explanation:
D batch 5
c. batch 4
so d and c
A cube has an edge of 2 feet. The edge is increasing at the rate of 4 feet per minute. Express the volume of the cube as a function of m, the number of minutes elapsed.
Hint: Remember that the volume of a cube is the cube(third power) of the length of a side.
v(m)=???? feet^3
Answer:
V(m) = [tex](4m+2)^3[/tex]
Step-by-step explanation:
The edge of the cube is increasing by 4 feet every minute
V(m) = [tex](4m + 2)^3[/tex]
Two is the starting sidelength of the cube, and 4m is how many feet the side of the cube has grown, depending on the number of minutes that have passed
Jeff had $20 he spent 1/5 of his money on lunch how much money does Jeff have left
Answer:
4
Step-by-step explanation:
had to look it up but do 20 x 0.2 (1/5) and u get 4
Please help
The Pythagorean theorem states that a² + b² = c² for a right triangle with leg lengths, a and b, and hypotenuse length, c.
The hypotenuse of a right triangle is 5 units long and has the points (3, 0) and (0, 4) as end points. One of the legs has length 3.
Use the Point and Segment tools to draw a right triangle at demonstrates the other leg length is 4.
Answer:
Step-by-step explanation:
Draw the third point at (0, 0). This would make the distance from (3,0) to (0,0) equal to 3, and the distance from (0,4) to (0,0) be 4.
3 times the age of Felicia is 4 more than the age of Asare.in 3 years,the sum of their ages will be 30 years,find their present age
Answer:
Asare is 17 and Felicia is 7.
Step-by-step explanation:
let x be felicia's current age and y be asare's age. The equation for their age is y=3x-4. If 3x-1 + x+3 = 30, that means that 4x+2=30, so 4x=28. If 4x=28, x=7. Felicia is 7 and 3*7-4=17.
Help help help ASAP sap
Answer:
132
Step-by-step explanation:
since they are 180 degrees subtract
Answer:
132
Step-by-step explanation:
since this is a 180 degree angle ABC will be
180-48
132
Solve for x.
7.5x11=4.85
Enter your answer as a decimal in the box.
x =
7.5x11 = 4.85
82.5x = 4.85
*divide 82.5 on both sides*
x = 4.85 ÷ 82.5
x = 0.058788
Answer:
0.058787879
Step-by-step explanation:
(7.5)(x)(11)=4.85
82.5(x)=4.85
x=4.85÷82.5
x= 0.058787879
I'm stuck on this...
Answer:
A. 65
Step-by-step explanation:
The sum of the measures of the interior angles of a triangle is always 180 degrees. This means that j+k+l = 180. j is equal to l, so I can rewrite this as k+2j = 180. k is 50, so 50+2j is 180, and 2j is 130. This means that j is 65.
Answer:
A. 65°
Step-by-step explanation:
We are given that <J ≅ <L
We know that all angles in a triangle = 180°
K + J + L = 180
50 + 2J = 180
2J = 130
<J = 65°
I hope this helps!
There is a bag filled with 3 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting at least 1 red?
Answer:
1/4 is the correct answer
Step-by-step explanation:
Even after replacing the marble the propability will not chance.
What is the sum of 1/4 and 5/12 ?
Answer: 8/12
Step-by-step explanation:
1/4 times 3 will give you 3/12 and add 5/12
5. Gavin makes a homemade cleaner using į cup vinegar
for every 2 quarts of water.
Answer:
For every 2 quarts of water, ¹/₂ cup of vinegar is used.
⇒ To find the amount of vinegar, divide the number of quarts by 4.
⇒ To find the number of quarts, multiply the amount of vinegar by 4.
4 qt water = 4 ÷ 4 = 1 cup vinegar
1¹/₂ cups vinegar = 1¹/₂ x 4 = 6 qt water
8 qt water = 8 ÷ 4 = 2 cup vinegar
Plot the points on the graph (see second attached image).
Draw a line through the points.
Find 3 along the x-axis and trace up to the line. Trace along to the y-axis.
Therefore, Gavin would need to use 12 quarts of water with 3 cups of vinegar.
Write the equation of the trigonometric graph.
Answer(s):
[tex]\displaystyle y = 4sin\:(2x + \frac{\pi}{2}) \\ y = 4cos\:2x[/tex]
Step-by-step explanation:
[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{4}} \hookrightarrow \frac{-\frac{\pi}{2}}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4[/tex]
OR
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 4sin\:2x,[/tex]in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{4}\:unit[/tex]to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{\pi}{4}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{4}} = \frac{-\frac{\pi}{2}}{2}.[/tex]So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 4sin\:(2x + \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [-1\frac{1}{4}\pi, 0],[/tex]from there to [tex]\displaystyle [-\frac{\pi}{4}, 0],[/tex]they are obviously [tex]\displaystyle \pi\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle \pi.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended four units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.