Answer:
x = 4
y = 6
Step-by-step explanation:
3x + 4y = 36 ⇒ ( 1 )
y = - 1/2x + 8 ⇒ ( 2 )
( 2 ) × 2
2y = -x + 16 ⇒ ( 3 )
2y + x = 16
x = 16 - 2y ⇒ ( 4 )
Let us replace x with ( 16 - 2y ) and the value of y.
For that, let us use the equation (1).
3x + 4y = 36
3 ( 16 - 2y ) + 4y = 36
48 - 6y + 4y = 36
48 - 2y = 36
48 - 36 = 2y
12 = 2y
Divide both sides by 2.
6 = y
Now let us replace y with 6 and find the value of x.
For that let us use equation 4.
x = 16 - 2y
x = 16 - 2 × 6
x = 16 - 12
x = 4
Complete the net worth statement by determining the total assets and total liabilities. What is the net worth?
The net worth, based on the net worth statement of total assets and total liabilities, is B) $2,000.
What is the net worth?The net worth of an individual is the difference between the assets owned and the liabilities that the person owes.
Data and Calculations:Assets:Cash $200
Checking accounts $1,000
Savings account $400
Cars $8,000
Furniture and appliances $1,500
Computers $900
Stereo/Cell phones $400
Clothing $300
Total assets = $12,700
Liabilities:Credit card balances $1,200
Charge accounts balances of $200
Student loans $7,000
Car Loans $2,300
Total liabilities = $10,700
Net worth = $2,000 ($12,700 - $10,700)
Answer Options:A) $200
B) $2,000
C) $10,700
D) $12,700
Thus, the net worth, based on the net worth statement of total assets and total liabilities, is B) $2,000.
Learn more about the net worth of an individual at https://brainly.com/question/12371230
What is the amplitude of the function?
Answer:
2
Step-by-step explanation:
Take the absolute value of the lowest y value.
So
[tex] | - 1| = 1[/tex]
Take the absolute value of highest y value.
[tex] |3| = 3[/tex]
Add those two together and divide by two.
[tex] \frac{1 + 3}{2} = 2[/tex]
So the amplitude is 2
Builtrite bonds have the following: 5 1/2% coupon, 10 years until maturity, $1000 par and are currently selling at $1044. If you purchase this bond, what would be your AYTM?
The annual yield to maturity (AYTM) of the Builtrite bonds is at 5.5% for 10 years with a $1,000 par value and the current price of $1,044 is A. 4.9%.
What is the annual yield to maturity (AYTM)?The annual yield to maturity (AYTM) is the total return expected from a bond if the bond is held till maturity.
The AYTM rate is the rate at which all future expected cash flows are discounted to find out the current value or the price of the bond.
We can use the following Yield to Maturity formula to calculate the AYTM.
Yield to Maturity = [Annual Interest + {(FV-Price)/Maturity}] / [(FV+Price)/2]
Data and Calculations:Annual Interest = Annual Interest Payout by the Bond = $55 ($1,000 x 5.5%)
FV = Face Value of the Bond = $1,000
Price = Current Market Price of the Bond = $1,044
Maturity = Time to Maturity = 10 years
= {$55 + ($1,000 - $1,044)/10} / {($1,000 + $1,044)/2}
= $55 + -4.4 / 1,022
= 50.6/1,022
= 4.95%
We can also use an online finance calculator to check the calculated value above as follows:
N (# of periods) = 10
I/Y (Interest per year) = 4.95%
PMT (Periodic Payment) = $55 ($1,000 x 5.5%)
FV (Future Value) = $1,000
Results:
PV = $1,044
Sum of all periodic payments = $550 ($55 x 10)
Total Interest $503.44
Answer Options:A. 4.9%
B. 5.1%
C. 5.3%
D. 5.5%
Thus, the annual yield to maturity (AYTM) of the Builtrite bonds is at 5.5% for 10 years with a $1,000 par value and the current price of $1,044 is A. 4.9%.
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Find the length of the midsegment of the trapezoid.
Answer: 14
Step-by-step explanation:
__________ is a time to challenge yourself and take some risks since your body is stronger than ever before, and you are changing and developing in all sorts of wonderful ways.
Answer:
Adolescence
Step-by-step explanation:
We are constantly changing and developing in adolescence, it is the bridge between childhood and adulthood, mixed with youth (taking risks more frequently, less worries) and responsibilities and coming-of-age.
5
Type the correct answer in the box. Use numerals instead of words.
New York City has a population of approximately 8.8 million people with a population density of approximately 29,300 people per square mi
What is the approximate area of New York City to the nearest square mile?
The area of New York City is approximately
square miles.
Answer:
300 square miles (nearest square mile).
Step-by-step explanation:
Population Density formula
[tex]\sf Population\;Density=\dfrac{Number\;of\;People}{Land\;Area}[/tex]
Given values:
Total population = 8,800,000 people.Population density = 29,300 per square mile.Substitute the given values into the formula and solve for land area:
[tex]\implies \sf 29300=\dfrac{8800000}{Land\;Area}[/tex]
[tex]\implies \sf Land\;Area=\dfrac{8800000}{29300}[/tex]
[tex]\implies \sf Land\:Area=300.3412969...square\;miles[/tex]
Therefore, the approximate area of New York City is 300 square miles (nearest square mile).
Answer: 300
Step-by-step explanation: ANSWER ON EDMENTUM/PLUTO
i need help asap
if F(4)=9, the corresponding ordered pair is what
Answer:
F(5)=11.25
Step-by-step explanation:
I'm like 80% sure this is right, and I hope it helps.
First I did 9/4 which equals 2.25. and that would be F(1)
then added 2.25 to 9 which equals 11.25
multiplying 2.25 by 5 would also equal 11.25.
I did 5 because, on a number line, 5 comes after 4.
Joel wants to fence off a triangular portion of his yard for his chickens. The three pieces of fencing he has measure 8 feet, 15 feet, and 20 feet long. Use this information to answer 8-9
8. Joel cut the longest piece of fencing in order to make a right triangle. Find the perimeter of Joel’s fence.
9. If it takes Joel 30 seconds to
foot of fencing, how many total minutes will it take him to install the fence?
Please help me thank you so much.
Answer:
8. Joel will not form a right triangle.
9.20 minutes
Step-by-step explanation:
8. First use theorem
Right triangle theorem
c²=a²+b²
c=20 ft
a=8ft
b=15 ft
20² =8²+15²
simplify
400= 64+225
400 does not = 289
9.
Part B)
if Joel cut the longest piece of fencing in order to make a right triangle
longest part is 17^2
a²+b²=289
c²=√289
c=17 ft
the perimeter of the fence is
a+b+c
17+8+15
perimeter is
40 ft
30 sec to install 40 ft(perimeter)
x=40*30
x=1200 seconds
x=1200/60 in minutes
x=20 minutes
Emiyjah wants to buy a new smartphone that costs $495. She has already saved $75.
6A) Write an inequality that shows the amount of money, m, that Emiyjah still needs to save before she can buy the smartphone.
Make sure you include the 495, the 75, the m, and an inequality symbol NOT an equal sign!
Answer:
m + 75 > 495
Step-by-step explanation:
After saving an additional amount m, Emiyjah will have a total savings of ...
m + 75
She needs to have that amount be greater than the cost of the smartphone, so she requires ...
m +75 > 495
__
Additional comment
The solution to this inequality is m > 420.
Find the maximum number of children to whom 30 sweaters and 45
trousers can be equally distributed.also find how many sweaters and trousers each child got ?
Answer:
15 children2 sweaters; 3 trousers eachStep-by-step explanation:
The desired distribution can be found by factoring out the greatest common factor from two numbers.
30 sweaters + 45 trousers = 15(2 sweaters + 3 trousers)
Each of 15 children got 2 sweaters and 3 trousers.
_____
Additional comment
The two numbers can be factored as ...
30 = 2·3·5
45 = 3·3·5
The factors these numbers have in common are 3·5 = 15
Simplify the expression. 20 • 5–2
a) 25
b) –500
c) –200
d) 4/5
Answer: D) 4/5
Hope this helps :)
Suppose that 22% of people own dogs. If you pick two people at random, what is the probability that they both own a dog? Round to 2 places.
Name all the common multiples of 3 and 8 that are less than 50
For which values of x is the expression undefined
20 Points
The length of the shorter leg of a 30-60-90 Special Right Triangle is 6 cm long. How long is the hypotenuse of the triangle?
Question 2 options:
63–√ cm
6 cm
12 cm
62–√ cm
Answer:
The answer is 12 cm.
Step-by-step explanation:
Verified by correct test results.
The length of the hypotenuse of the given right triangle would be 12cm.
What is a triangle?A triangle is a two - dimensional figure with three sides and three angles.The sum of the angles of the triangle is equal to 180 degrees.∠A + ∠B + ∠C = 180°Given is that the length of the shorter leg of a 30-60-90 Special Right Triangle is 6 cm long.
The base length is the shortest distance of the right - angled triangle. We can find the hypotenuse using the cosine function as -
cos(60) = b/h
h ={b/cos(60)}
h = 6/(1/2)
h = 6 x 2
h = 12 cm
Therefore, the length of the hypotenuse of the given right triangle would be 12cm.
To solve more questions on triangles, visit the link-
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NO LINKS!! Explain your answer (show the support by showing the changes in x and y on your table). If the relationship is linear, inverse, or exponential, write the equation.
#7 and #8
Answer:
7. inverse relationship; equation: y = 16/x
8. no relationship; no equation
Step-by-step explanation:
The attachment shows the support for the conclusions. The relationship can be chosen from those offered by looking at differences, ratios, or products of y-values for sequential x-values.
linear: constant differencesexponential: constant ratiosinverse: constant products__
7.In the first problem, we note that the relationship between y-values varies inversely as the relationship between x-values: when x goes up by a factor of (n+1)/n, the value of y goes down by its inverse factor: n/(n+1). That same relationship is observed by noting that the product of x and y is a constant, 16.
relationship: inverse
y = 16/x
__
8.As we looked at the table, we thought this might be an exponential function. Each y-value seemed to be twice the one before—until we got to x=5. As x went from 4 to 5, the y-value increased by a factor of 16, not 2. This means there is no simple relationship between x and y, and no simple equation that will describe the sequence of y-values.
Answer:
Linear relationship: increasing or decreasing one variable will cause a corresponding increase or decrease in the other variable.
Inverse relationship: the value of one variable decreases as the value of the other variable increases.
Exponential relationship: a constant change in the independent variable (x) gives the same proportional change in the dependent variable (y)
Question 7
As the x-value increases (by one unit), the y-value decreases.
Therefore, this is an inverse relationship.
The y-values are calculated by dividing 16 by the x-value.
[tex]\sf y=\dfrac{16}{x}[/tex]
Question 8
As the x-value increases, the y-value increases.
The y-value increases by a factor of 2 for each x-value increase of 1 unit from 1 ≤ x ≤ 4 and 5 ≤ x ≤ 6.
[tex]\sf y=2^x \ for \ 1\leq x\leq 4[/tex]
[tex]\sf y=2^{(x+3)} \ for \ 5\leq x \leq 6[/tex]
These are separate exponential relations for restricted domains.
So there doesn't appear to be one relationship for a non-restricted domain.
What are the sum of the interior angles in an irregular octagon?
Answer:
1080
Step-by-step explanation:
Use formula
Sum of in. angle=(n-2)*180
Answer:
1080°
Step-by-step explanation:
To find the sum of interior angles, use the formula: 180(n-2). Input '8' as 'n'.
180(8-2)
180(6)
1080°
Therefore, the sum of interior angles of an irregular octagon is 1080
The blue dot is at what value on the number line?
Answer:
i believe the blue dot is -28
Simplify: 4y + 3 +9y+ 6
O 13y + 9
O 22y
O 7y + 15
O 22
Answer:
13y+9
Step-by-step explanation:
You can add 4y and 9y because they are like terms , and the same for 3+6.
4y+9y and 3+6
13y + 9
hope this helps
i kneed help
Which of the following is an example of symbolism in a political communication?
A campaign ad that uses the American flag to show the candidate is patriotic
A website that explains where candidates stand on the issues of their party's platform
A news channel that actively advocates for a particular candidate
A radio program where local politicians are interviewed about important local issues
Answer:
Here :D
Step-by-step explanation:
The option that is an example of symbolism in a political communication is; A radio program where local politicians are interviewed about important local issues.
What is Symbolism in Communication?
In symbolism in communication, we are trying to use a means or medium to pass across a message to an audience consciously or unconsciously.
Now, for political communication, the politicians are trying to talk about important issues with respect to the elections. Thus, from the given options, the only one that is an example of symbolism in a political communication is A radio program where local politicians are interviewed about important local issues.
Read more about Symbolism at; https://brainly.com/question/15816956
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Circumference of the circle
Answer:
r=14/2
r=7
[tex]circumference = 2\pi {r}\\ = 2 \times \frac{22}{7} \times 7 \\ = 44[/tex]
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's find the circumference of given circle ~
Circumference :
[tex] \qquad \tt \dashrightarrow \: \pi{d}^{} [/tex]
where, d = diameter
Now, let's calculate it ~
[tex] \qquad \tt \dashrightarrow \: c = 14\pi{}^{} [/tex]
That's the answer I terms of π, but we can also plug in the approximate value of pi as 3.14
[tex] \qquad \tt \dashrightarrow \: c = 14 \times 3.14{}^{} [/tex]
[tex] \qquad \tt \dashrightarrow \: c = 43.96 \: \: m[/tex]
[tex] \qquad \tt \dashrightarrow \: c \approx 44 \: \: m[/tex]
There were thirteen friends playing a video game online when six players quit.If each player left had eight lives how many lives did they have total
Emma buys a game for $26.84. She gives
the clerk $30.00. List Emma's change using the least
number of coins and bills.
Answer:
3 1-dollar-bills. 1 dime. 1 nickel. 1 penny
$3.16 in return.
what is it u can just say abc
Answer: dude idek how to do this
Step-by-step explanation:
not lying still dont know
Find the area and the circumference of a circle with radius 4m. Use the value 3.14 for π, and do not round your answers. Be sure to include the correct units in your answers. 4m Area: Circumference:
Answer:
!!! please use the correct units.. m² and m !!!
the answer is in the picture
the graph of a line gets _____
as the value of the slope gets bigger.
A. steeper
B. longer
C. less steep
D. shorter
Answer: Less Steep
Step-by-step explanation: the graph of a line gets less steep as the value of the slope gets bigger.
The graph of the line gets steeper as the value of the slope gets bigger. Then the correct option is A.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
If the value of the slope is bigger then the line will be steeper.
Thus, the correct option is A.
More about the linear equation link is given below.
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ABC is circumscribed about H, with the points of tangency D,E, and F.
I need help please give explanation as well thank you
Definition: An proposed answer to a problem is called
if it can
possibly be within a small distance of the actual answer,
es )
Term:
Answer:
The purpose of a problem statement is to: 1 Introduce the reader to the importance of the topic being studied. ... 2 Anchors the research questions, hypotheses, or assumptions to follow. ... 3 Place the topic into a particular context that defines the parameters of what is to be investigated
Step-by-step explanation:
Find the distance between the two points in simplest radical form.
(3,9) and (-2,4)
Here we would be using distance formula to calculate the distance between those two points.
★ Points are,
(3 , 9)(-2 , 4)★ Distance Formula :
[tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]★ We have :
x1 = 3
x2 = -2
y1 = 9
y2 = 4
★ Substituting the values :
Refer the attachment.Additional Information :Centroid of a triangle :-
[tex]\boxed{ \sf{Centroid \: = \: \dfrac{x_1 \: + \: x_2 \: + \: x_3}{3} }} \: \pink\bigstar[/tex]Midpoint of two points:-
[tex]\boxed{ \sf{M \: = \: \dfrac{x_1 \: + \: x_2 }{2} \: , \: \dfrac{y_1 \: + \: y_2 }{2}}} \: \pink\bigstar[/tex]