Frank and Yvette Shelby have a condo. The monthly gross income for Frank is $1,860 and for Yvette is $1,900.
Find the total expenses for March. Are their housing costs within the 35% guideline for their combined income?
(2 points)
Condo Expenses for March
Mortgage Payment
Insurance-Liability and Contents
Home Equity Loan
Electricity
Heating (gas)
Internet & Phone Bundle
Water & Sewer
Satellite TV Service
Total
$533.50
$35.55
$132.40
$158.66
$243.80
$68.75
$65.30
$51.00
The total expenses in the month, for Frank and Yvette Shelby can be found to be $ 1, 288. 96 .
The housing costs are within the 35 % guideline of their combined income.
How to find the expenses ?The total expenses to Frank and Yvette Shelby for the month would be:
= Mortgage Payment + Insurance-Liability and Contents + Home Equity Loan + Electricity + Heating (gas) + Internet & Phone Bundle + Water & Sewer + Satellite TV Service
= 533. 50 + 35. 55 + 132. 40 + 158. 66 + 243. 80 + 68. 75 + 65. 30 + 51. 00
= $ 1, 288. 96
The percentage of housing cost to the total income of Frank and Yvette Shelby is:
= ( Mortgage Payment + Insurance + Home Equity ) / combined income x 100 %
= ( 533. 50 + 132. 40 + 35. 55 ) / ( 1, 860 + 1, 900 ) x 100 %
= 18. 66 %
The housing costs are therefore within the 35 % guideline of their combined income.
Find out more on housing costs at https://brainly.com/question/24165950
#SPJ1
Zachary built a toy box in the shape of a rectangle prism with an open top. the diagram shows the toy bix and a net of the toy. whatbis the surface area in square inches of the toy box
In the given figure of ractangular prism :
Length = 13 in, height = 12 in, width = 11 in
The expression for the surface area of rectangular prism is = 2 (LW +LH + HW)
As the prism is open with top, thue reduce the area of top part : Height x Length
The expression for the surface aea of the prism = 2(LW + LH + HW) - HL
Substitute the value :
\(\begin{gathered} \text{Surface area of the rectangle prism =}2\mleft(LW+LH+HW\mright)-HL \\ \text{Surface area of the rectangle prism =}2(13\times11+13\times12+12\times11)-13\times12 \\ \text{Surface area of the rectangle prism =706 in}^2 \end{gathered}\)Surface area of rectangular prism is 706 in square.
what is the volume please this is for a quiz
Answer:
2 61/162
Step-by-step explanation:
Dan sees the following number pattern on the chalkboard.
5, 10, 20, 40....
What is the rule for this pattern?
1) multiply by 2
(1) add 5
()) add 5, then add 10
1)) multiply by 10
Answer:
multiply by 2
Step-by-step explanation:
5x2=10
10x2=20
20x2=40
Answer:
Step-by-step explanation:
10
4y - 3 = y + 6
what is the solution to the open sentence
Answer:
y=3
Step-by-step explanation:
What is the y-intercept of the graph shown?
Responses
b=2b
b=−2b
b=−3b
b=3b
The y-intercept of the graph as shown is 2.
How to find the y-intercept of a line?The equation of a line can be represented as follows:
y = mx + b
where
m = slopeb = y-interceptThe y-intercept is the point where the graph intersects the y-axis. In other words, it is the value of y when x = 0 .
Therefore, let's trace the value of y when x = 0 on the graph.
Hence, when x = 0, y = 2
Therefore,
b = y-intercept = 2
learn more on y-intercept here: https://brainly.com/question/16478615
#SPJ1
Answer:b=2b
b=−2b
b=−3b
b=3b
Step-by-step explanation: because I tought myself i know
Robert took a math test and got 36 correct and 14 incorrect answers. What was the percentage of correct answers?
Answer:
72% correct
Step-by-step explanation:
for less than the product of eight and a number is equal to six variable b for the unknown number
Question:
Solution:
Let denote by b the unknown number. Thus, we have that four less than the product of 8 and a number is:
Question 6 of 10
A line of best fit was drawn for 6 data points. What is the maximum number
of these data points that may not actually be on the line?
OA. 6
B. 3
O C. 4
OD. 5
SUBMIT
literally a goat if someone gives me an answer for this please
Answer: D, 100
Step-by-step explanation:
Answer: 100 (D)
Step-by-step explanation:
cuz
Rosa makes a small flower garden outside the clubhouse. The area of the garden is 851 square meters. If the length of the garden is 23 meters, what is the width of the garden?
Answer:
=> 37 m
Step-by-step explanation:
Area = Length x Width
=> 851 = 23 x Width
=> 851/23 = Width
=> 37 m = Width
What is the slope please help you’ll be marked brainliest TYSMMMMMM
Step-by-step explanation:
the slope of a line is the ratio "y coordinate change / x coordinate change" when going from one point to another.
I think I can recognize two good points with integer coordinates :
(-30, -90) and (70, 70)
x changes by +100 (from -30 to 70)
y changes by +160 (from -90 to 70)
the slope is then +160/+100 = 16/10 = 8/5
Point E is located at (–1, 1). Which of the following choices contain end points of the line segment that has E as its midpoint?
Using the Classic Rock data in the Math 108 group on StatCrunch, create a histogram with the
variable PlayCount. When creating the histogram, check the box that says Value above bar and also check the Mean box. Answer the
following questions about the histogram. Recall that
there are 1651 songs played.
1. What percent of songs were played over 100 times?
1% (round to the nearest whole integer)
2. What is the mean?
songs (round to the nearest whole integer)
3. What percent of songs were played less than 20 times?
% (round to the nearest whole integer)
The product of the frequency and PlayCount gives the number of songs
played from the information in the histogram.
Correct responses (rounded to the nearest whole integer)
1. 2%
2. 27 PlayCount per song
3. 68%
How does one analyze an histogram?1. The given data from the histogram is presented in a tabular form as follows;
\(\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}f&899&224&126&96&71&52&39&41&44&23&14&12&3&4&3\\x&10&20&30&40&50&60&70&80&90&100&110&120&130&140&150\end{array}\right]\)
The percentages of song that where played over 100 times is given as follows;
∑f = 899+224+126+96+71+52+39+41+44+23+14+12+3+4+3 = 1651
Number of songs played over 100 times = 14 + 12 + 3 + 4 + 3 = 36
\(Percentage \ of \ songs \ played \ over \ 100 \ times = \mathbf{\dfrac{36}{1,651} \times 100} \approx \underline{2 \%}\)2. Mean of a frequency distribution is given as follows;
\(Mean = \mathbf{\dfrac{\sum f\times x}{\sum f}}\)
Where;
x = The PlayCount
From MS Excel, we have;
∑f·x = 44410
Which gives;
\(Mean = \dfrac{44410}{1651} \approx \underline{27}\)3. Number of songs played less than 20 times = 899 + 224 = 1,123
\(\mathbf{Percentage} \ of \ songs \ played \ less \ than \ 20 \ times = \dfrac{1,123}{1,651} \times 100 \approx \underline{ 68 \%}\)Learn more about percentages and histograms here:
https://brainly.com/question/10491646
https://brainly.com/question/1413492
10 points need this answer ASAP
Answer:
C
Step-by-step explanation:
Y=2(-1)+3
y=-2+3
y=1
true
If mBCD = 148°, what is m∠BCD?
74°
32°
148°
106°
Answer:
Option (1)
Step-by-step explanation:
Given : m(arc BCD) = 148°
By the property,
Inscribed angle formed by an arc measures half the measure of the arc.
m(arc BCD) = 2(m∠BCD)
148° == 2(m∠BCD)
m(∠BCD) = 74°
Therefore, Option (1) will be the correct option.
factor the problem: 20x^5-8x^7
4x^5 ( 5-2x^2 )
Step-by-step explanation:
smallest x is x^5
smallest common factor is 4
4x^5 ( 5-2x^2 )
8x^7 / 4x^5
when dividing the exponents, SUBTRACT the exponents
8 ÷ 4 = 2
x^7 ÷ x^5
7 - 5 = 2
x^7 ÷ x^5 = x^2
2x^2
9) The 50 cars used by a firm were inspected. 10 had faulty brakes and 15 had faulty tyres. There were 2 cars with faulty brakes but good tyres. How many cars had good brakes and good tyres? The answer is 33
Based on the information, there are 25 cars with good brakes and good tires.
How to calculate the valueTotal cars = 50
Cars with faulty brakes = 10
Cars with faulty tires = 15
Cars with faulty brakes and good tires = 2
Let's calculate the number of cars with good brakes and good tires:
Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires
= 10 + 15 - 2
= 25
Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires
= 50 - 25
= 25
Therefore, there are 25 cars with good brakes and good tires.
Learn more about numbers on
https://brainly.com/question/25734188
#SPJ1
.......................................................................................
Answer:
you have it right
Step-by-step explanation:
Find the dimensions of the rectangular box with largest volume if the total surface area is given as 100 cm2. (Let x, y, and z be the dimensions of the rectangular box.)(x, y, z) =
The dimensions of the rectangular box with largest volume if the total surface area is given as 100 cm2: x = y = z = 2.449 cm.
Given that:
Total surface area of the rectangular box or cuboid = 100 cm²
A rectangular box with largest volume is a cube.
The total surface area of a cube = 6 times square of one edge length.
Let the edge length = given dimensions; x, y, z
So,
x = y = z
6x^2 = 100
x^2 = 100 / 6
x = √ 100 / 6
x = 10 / √ 6 cm
x = 2.449 cm
Hence, dimensions of the rectangular box with largest volume if the total surface area is given as 100 cm2: x = y = z = 2.449 cm.
Learn more about cube surface area at: https://brainly.com/question/13789496
#SPJ4
angle of is a right angle. the sides of are the diameters of semicircles as shown. the area of the semicircle on equals , and the arc of the semicircle on has length . what is the radius of the semicircle on ?
The radius of the semicircle having an arc of length equal to 8.5 \(\pi\) in a right-angle triangle ABC is equal to 7.5 cm.
Given:
Angle ABC of triangle ABC is a right angle. The sides of ABC are the diameters of semicircles.
The area of the semicircle on AB equals 8\(\pi\).
Area of a semicircle = \(\pi r^2/2\)
Therefore:
\(\pi r^2/2\) = 8\(\pi\)
\(r^2 = 16\)
\(r = 4\)
Next, the arc of the semicircle on AC has a length of 8.5\(\pi\).
Length of the arc of a semicircle = \(\pi r\)
\(\pi r\) = 8.5\(\pi\)
\(r = 8.5\)
Using Pythagoras theorem
\(8.5^{2} = 4^{2} + x^{2}\)
\(x^{2} = 8.5^2 - 4^2\\\)
\(x^{2} = 56.25\)
\(x = \sqrt{56.25}\)
\(x = 7.5\)
The radius of the semicircle of BC = 7.5 Units.
Refer to this complete question for this:
Angle ABC of triangle ABC is a Right angle. The sides of ABC are the diameters of semicircles as shown. The area of the semicircle on AB equals 8pi and the arc of the semicircle on AC has a length of 8.5pi. What is the radius of the semicircle of BC?
To learn more about the Pythagoras theorem visit: https://brainly.com/question/343682
#SPJ4
In Exercises 33–36, determine if the specified linear transforma- tion is (a) one-to-one and (b) onto. Justify each answer. 14. Let T : R2 R2 be a linear transformation with standard matrix A = aaz], where a, and a, are shown in the figure. Using the figure, draw the image of under the transformation T. [-] 1 |
If values prοvided then transfοrmatiοn οf vectοrs can be determined.
What is vectοr?In mathematics, a vectοr is a mathematical οbject that represents a quantity with bοth a magnitude and a directiοn. Vectοrs can be used tο represent physical quantities such as velοcity, fοrce, and acceleratiοn, as well as mοre abstract cοncepts such as cοlοr, sοund, and temperature.
Withοut seeing the figure οr the values οf a1, a2, and a3, it is nοt pοssible tο determine whether the specified linear transfοrmatiοn T : R2 → R2 is οne-tο-οne and οntο.
Hοwever, in general:
A linear transfοrmatiοn T : Rn → Rm is οne-tο-οne if and οnly if its kernel (i.e., the set οf vectοrs that are mapped tο the zerο vectοr) is trivial, meaning that the οnly vectοr that maps tο the zerο vectοr is the zerο vectοr itself.
A linear transfοrmatiοn T : Rn → Rm is οntο if and οnly if its range (i.e., the set οf all vectοrs that can be οbtained by applying T tο sοme vectοr in Rn) is equal tο Rm.
Tο determine whether a linear transfοrmatiοn is οne-tο-οne οr οntο, we can examine its prοperties and characteristics, such as its kernel, range, rank, and determinant. We can alsο use geοmetric intuitiοn and visualizatiοn tο understand hοw the transfοrmatiοn maps pοints and vectοrs in Rn tο Rm.
If yοu prοvide mοre infοrmatiοn abοut the values οf a1, a2, and a3 and the figure that shοws the standard matrix A, it can help yοu determine whether the transfοrmatiοn is οne-tο-οne and οntο and draw the image οf the vectοr [-1, 1] under the transfοrmatiοn T.
Therefοre, if values prοvided then transfοrmatiοn οf vectοrs can be determined.
To know more about vector visit :
https://brainly.com/question/27854247
#SPJ1
Complete question -
In Exercises 33–36, determine if the specified linear transformation is (a) one-to-one and (b) onto. Justify each answer. 14. Let T : R2 R2 be a linear transformation with standard matrix A = aaz], where a, and a, are shown in the figure. Using the figure, draw the image of under the transformation T. [-] 1
is this correct and if not can you help me?
Answer
yes it is ok
\(\sqrt[]{\frac{16}{25}}\text{ = }\sqrt[]{\frac{4^2}{5^2}}\text{ = }\frac{4}{5}\)______________________________________
Do you have any questions regarding the solution?
Can you see the updates?
If you do not need further explanation on this question, we can end the session.
I want to remind you this answer will always be saved in your profile. I’d really appreciate you letting me know how I did by rating our session after you exit. Thanks, and have a great day!
HELP WILL GIVE BRAINLESS IF U ANSWER THIS ONE'S AND THE OTHER ONES
Answer:
c. 3 ft by 4 ft by 5 ft
Step-by-step explanation:
You want to know which sets of measurements can form a triangle.
Triangle inequalityThe triangle inequality requires ...
a + b > c
for any assignment of a, b, c to side lengths. If 'a' and 'b' are the two shortest sides, satisfying this inequality will also satisfy any other arrangement.
Choicesa. 3 + 4 > 9 . . . . falseb. 5 + 5 > 10 . . . . falsec. 3 + 4 > 5 . . . . TRUEd. 9 + 11 > 20 . . . . falseOnly the side lengths 3 ft, 4 ft, 5 ft will form a triangle.
__
Additional comment
As we said the other arrangements of the triangle inequality are also satisfied for these numbers:
4 + 5 > 3
3 + 5 > 4
The garden with side lengths 3, 4, 5 will have the shape of a right triangle.
7th grade math help me plzzz
Answer:
Step-by-step explanation:
6x + 120 = 168
6x = 48
x = 8
Answer:
8
Step-by-step explanation:
6(x+20)=168. Substitute the x variable for 8
Then do your PEMDAS, which parenthesis come first, so 8+20= 28
Now multiply 28 by 6 and you get 168.
So your answer is 8.
someone help me plz!!
Answer: x=15
Step-by-step explanation:
Since these are supplementary angles, we know that if we add them together we would get 180 deg. so....
(7x-10)+ (6x-5)=180
Kay so now we can combine like terms.
13x-15=180
Now we can add 15 to both sides.
13x=195
Finally Divide 13 on both sides.
X would then now equal 15.
A triangle has a base of 3 2/5 inches and an area of 5 1/10 square inches. Find the height of the triangle.
Answer:
3.33 is the answer
What is the value of x?
Enter your answer in the box.
8/2
X =
45°
K
30°
Basic
Answer:
\(x = 45\)
Step-by-step explanation:
See attachment for complete question.
From the attachment, we have that x and 3x are on a straight line
and angle on a straight line sum up to 180
In other words:
\(x + 3x = 180\)
\(4x = 180\)
Divide through by 4
\(\frac{4x}{4} = \frac{180}{4}\)
\(x = \frac{180}{4}\)
\(x = 45\)
Hence, the measure of x is 45 degrees
Answer:
The answer is 4. I took the quiz.
Step-by-step explanation:
Question 6 (5 points)
Which of the following pairs of triangles can be proven similar through SSS
similarity?
The pairs of triangles can be proven similar through SSS similarity is given by Third pair.
We know that the SSS similarity criteria will have the ratio of three corresponding sides of both triangles congruent.
1. KL / EG = HL / DG = HK / DE
3/6 = 6.5/13 ≠ 4/10
Thus, SSS similarity does not follow.
2. KL / EG = HL / DG = HK / DE
3/10 ≠ 6.5/13 ≠ 4/10
Thus, SSS similarity does not follow.
3. KL / EG = HL / DG = HK / DE
3/6 = 6.5/13 = 5/10
Thus, SSS similarity follow.
4. All three angles are congruent.
Thus, SSS similarity does not follow.
Learn more about similarity here:
https://brainly.com/question/26451866
#SPJ1
HELP PLSS I WILL GIVE BRAILNLYEST
Answer:
t = 7
Step-by-step explanation:
There are 7 t's on the left side
7t = 49
Divide by 7
7t/7 = 49/7
t = 7