A family qualifies for bankruptcy if the difference between their monthly income and expenditure, multiplied by 60 is greater than $10,000. So, The Osbornes qualify for chapter 7 bankruptcy.
We have the following parameters:
[tex]Annual\ Income = \$66000[/tex]
[tex]Monthly\ Expenses = \$5300[/tex]
To calculate the monthly income, we simply divide the annual income by 12 (12 is the number of months in a year)
So, we have:
[tex]Monthly\ Income = \$66000 \div 12[/tex]
[tex]Monthly\ Income = \$5500[/tex]
The difference between the monthly income and the expenses is:
[tex]Difference = Monthly\ Income - Monthly\ Expenses[/tex]
[tex]Difference = \$5500 - \$5300[/tex]
[tex]Difference = \$200[/tex]
The above result multiplied by 60 is:
[tex]Product = Difference \times 60[/tex]
[tex]Product = \$200 \times 60[/tex]
[tex]Product = \$12000[/tex]
$12000 is greater than $10000
Since $12000 is greater than $10000, then they are eligible for chapter 7 bankruptcy.
Learn more about bankruptcy test at:
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A class has 16 boys and 20 girls. A prefect is to be chosen from the class. If
each student is equally likely to be chosen, calculate the probability that the
selected prefect is:
(a) a boy (b) a girl
Answer:
a) 16/36 b)20/36
Step-by-step explanation:
16 + 20 = 36
36 = how many people are in the class all together
Sorry if it is wrong
please answer and answer
Answer:
Is the C
Step-by-step explanation:
Carl's class is collecting canned food for a food drive. If the class collects 3 2/3 pounds on the first day and 4 1/4 pounds on the second day, how many pounds of food have they collected so far?
Answer:
7 11/12
Step-by-step explanation:
3 2/3 + 4 1/4 = 3 8/12 + 4 3/12 = 7 11/12
ONCE AGAIN, HELP MEEEEEEE UDIHTJGAJHDAKMDHJ
(i am not the brightest lol)
Use the Quadratic Formula
Use the Quadratic Formula to find the zeros of the given
expression. Be sure to show your steps!
2x2-7x+3
Plz help no links
Answer:
1/2 and 3
Step-by-step explanation:
The quadratic formula is as given:
( -b±√(b^2-4ac) )/2a
To use it, plug in the a,b and c values.
ax^2+bx+c
In this case a is equal to 2, b is equal to -7, and c is equal to 3
plugging it into our formula gives us:
(-(-7)±√(-7^2-4*2*3) )/2*2
Which is equal to:
7±√(49-24) / 4
= 7±√25 / 4
=7±5 / 4
=2/4, 12/4= 1/2, 3
The dollar value of a car is a function, f, of the number of years, t, since the car was purchased. The function is defined by the equation f(t)=12,000(3/4)^t.
A. How much was the car worth when it was purchased? Explain how you know.
B. What is f(2)? What does this tell you about the car?
C. About when was the car worth $6,000? Explain how you know.
Answer:
1.) 12000
2.) 6750
3.) 2.41
Step-by-step explanation:
Given the Equation :
f(t)=12,000(3/4)^t. ; where, t = time ; f(t) = worth of car at time, t
When, car was purchased, t = 0
t = 0
f(0) = 12000(3/4)^0
= 12000 * 1
= 12000
2.)
f(2) ; this mean the worth of the car after 2 years :
f(2)=12,000(3/4)^t.
12000(3/4)^2
12000 * 0.5625
= 6750
When car will be worth 6000
f(t) = 6000
f(t)=12,000(3/4)^t.
6000 = 12,000(3/4)^t
6000 / 12000 = (3/4)^t
1/2 = (3/4)^t
Take the log of both sides :
Log(0.5) = log(0.75)^t
log(0.5) = tlog(0.75)
- 0.301029 = - 0.124938t
t = - 0.301029 / - 0.124938
t = 2.4094
t = 2.41 years
1.35b = 40.5
what is the value of b ?
Answer:
b=30
Step-by-step explanation:
What is the distance between the points (5, -1) and (5,
3)
By using distance formula (which is attached below), you can solve this problem:
√(x2-x1)^2+(y2-y1)^2
(5, -1) and (5, 3)
√(5-5)^2+(3-(-1))^2
√0^2+4^2
√0+16
√16
4
The distance between the two points is 4.
Question 5 (1 point)
Calculate the area of this composite shape. Use the ti key on the calculator. Round answer
to tenths.
10 yd
12 yd
13 yd
13 yd
Area =
yd2
I need help quick. ASAP.
Given square ABCD, what is the length of AD?
A cooking school is teaching students how to make pasta noodles. The line plot displays how much flour each student used. How many total cups of flour did the students use to make the pasta?
Answer:
[tex]Total = 11\frac{1}{8}\ cups[/tex]
Step-by-step explanation:
Given
See attachment for plot
Required
Total number of cups used
The number of dot on each dataset represent the number of student
So, to get the total number of cups, we simply add the product of the number of cups and the number of student for each data item
So, we have:
[tex]Total = \frac{1}{8} * 6 + \frac{1}{4} * 5 + \frac{3}{8} * 2 + \frac{1}{2}*0 + \frac{5}{8} * 4 + \frac{3}{4} * 2 + \frac{7}{8} * 5[/tex]
[tex]Total = \frac{6}{8} + \frac{5}{4} + \frac{6}{8} + 0+ \frac{20}{8} + \frac{6}{4} + \frac{35}{8}[/tex]
Solve
[tex]Total = \frac{6+10+6+0+20+12+35}{8}[/tex]
[tex]Total = \frac{89}{8}[/tex]
[tex]Total = 11\frac{1}{8}\ cups[/tex]
Calculate the perimeter and the area. Can yall help and if you could show the steps
Answer:
area of circle=π[tex]r^{2}[/tex]
=3.14*(6)^2
=3.14*36
=113.04 cm^2
perimeter of circle=2πr
=2*3.14*6
=37.68 cm
Step-by-step explanation:
help me plzz please please please
Answer:
Q1: 18 degrees
Q2: 60 sides
Step-by-step explanation:
The sum of the exterior angles is always 360 degrees. With this, do 360/20 to get the amount of sides that are within the shape.
360/20 --> 18 degrees.
Now with the interior angles, it can be found with the equation ((n-2) * 180 degrees) / n = Angle Given. With this, plug 174 degres into your equation.
(n-2) * 180 degrees) / n = Angle Given
(n-2) * 180 degrees) / n = 174
180n -360 / n = 174
180n -360 / 174n
360 = 6n
n = 60
It would be 60 sides.
bestiess helpssss plsss
A storage bin is a rectangular prism that measuring 114 cm long by 56 cm high by
56 cm deep. What is the surface area of the exterior, in square feet?
Answer:
33.12 square feet
Step-by-step explanation:
Step 1
We convert the dimensions to feet
1 cm = 0.0328084 feet
Length = 114cm
Hence
114 cm = 114 × 0.0328084 feet
= 3.74016 feet
≈ 3.7 feet
Height = 56cm
Hence
56 cm = 56 × 0.0328084 feet
= 1.83727 feet
≈ 1.8 feet
Depth(width) = 56cm
Hence
56 cm = 56 × 0.0328084 feet
= 1.83727 feet
≈ 1.8 feet
Step 2
The surface area of the rectangular prism
A=2(wl+hl+hw)
=2× (1.8×3.7+ 1.8×3.7 + 1.8 ×1.8)
≈33.12 square feet
pls read and help me
given conversion factor 12in/1ft what is the above line segments unit of measure in inches round your answer to the nearest tenth
Answer:The correct answer is 75.6
Step-by-step explanation:
because i took the quiz myself
1. If you are having a cookout for 200 people and ribeyes are $200.00 per loin and you can get 50 ribeyes per
loin, how much will the steak cost? How much is the steak per person?
Answer:
$800 total paid for four loins. Everyone gets one ribeye so price of steak per person is four dollars.
Step-by-step explanation:
1 ribeye per person -> 50 ribeyes per loin -> 200 (people going)/50 (people fed per loin) = 4 (loins needed) -> $200.00 x 4 loins = $800 of loin total and 4 dollars per ribeye (1 ribeye per person)
Help pleaseeeeeeeeee
9514 1404 393
Answer:
47 -6√10
Step-by-step explanation:
As you know, the area of a square is the square of the side length. It can be helpful here to make use of the form for the square of a binomial.
(a -b)² = a² - 2ab + b²
(√2 -3√5)² = (√2)² - 2(√2)(3√5) + (3√5)²
= 2 - 6√10 + 3²(5)
= 47 -6√10
__
Check
√2-3√5 ≈ -5.29399 . . . . . . . . note that a negative value for side length makes no sense, so this isn't about geometry, it's about binomials and radicals
(√2-3√5)² ≈ 28.02633
47 -6√10 ≈ 28.02633
PLEASE HELP NOT WILL HELP ME :,(
I'll make brainliest and give extra points
The following cone has a height of 4 inches and a volume of 12π. 4 in. What is the radius of the cone?
Answer:
3 in.
Step-by-step explanation:
volume = ⅓πr²h
⅓πr²h=12π
r²h=36
r²=9
r = 3 inches
Is 1/4 squared a rational?
Answer:
It is a rational.
Step-by-step explanation:
0.25² = 0.0625
It is a rational.
Please a correct answer gets brain thing that I forgot it name please help
Answer:
;FIHI;IHFHGILSOUDHFUHZSIUDGNJKZNSFJGNOSHTJOIJOIGJOSKFNGKNSJKGNONOJGOKJN
Step-by-step explanation:
The area of the parallelogram below is
square meters.
9 m
7 m
2 m
someone, please help !! these are direct and inverse variations, algebra 2. i need them asap !
Answer:
3, 20, 2, and 2.5
Step-by-step explanation:
For each question, they gave you an x and y value. If you substitute them into the equation and then solve for k, you get your answer.
On the first one, x is 12 and y is 1/4. If you put those into the equation they gave you y = k/x, you get 1/4 = k/12
3/12 is 1/4 so the first k is 3.
Second one y = k/x. x is 4 and is 5. So 5 = k/4
20/4 is 5, so the second k is 20.
HELPPPPPPPPPPPPPPPPPPPPPPP
Answer:
k=5
Step-by-step explanation:
[tex]f(x)=x^2-6x+14[/tex]
[tex](\frac{b}{2} )^2= (\frac{-6}{2})^2= (-3)^2=9[/tex]
[tex]f(x)-5=x^2-6x+9[/tex]
[tex]f(x)-5=(x-3)^2[/tex]
[tex]f(x)=(x-3)^2+5[/tex]
[tex]k=5[/tex]
Find each angle or arc measure
Answer:
17
Step-by-step explanation:
34/2 because the measure of the arc is half of what it would normally be because it touched the other side
Which of these tables represents a linear function?
Answer:
Second.
Step-by-step explanation:
A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.
Does anyone know what the answer to this would be?
Answer:
D
Step-by-step explanation:
HELP HELP ME WITH THIS PLSSS!!!!
Answer:
B, C, D, A, E
Step-by-step explanation:
hope it helps
Answer:
B,C,D,A,E
Step-by-step explanation:
95 - 3/4 what is the value of the expression
Answer:377 /4 = 94 and 1 / 4 =94.25
Step-by-step explanation:
Subtract
95 − 3 /4
= 377 / 4
Convert integer to fraction
95 = 95 / 1
Find common denominator
95 over 1
− 3 over 4
= ( 95 × 4 ) over ( 1 × 4 )
− ( 3 × 1 ) over ( 4 × 1 )
= 380 over 4
− 3 over 4
4 is the least common multiple of denominators 1 and 4. Use it to convert to equivalent fractions with this common denominator.
Subtract
380 over 4
− 3 / 4
= ( 380 − 3 ) / 4
= 377 /4
Simplify
377 / 4
= 94 and 1 /494
Reduce fraction to lowest terms
1 is the greatest common divisor of 377 and 4. The result can't be further reduced.
Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
377 /4
= 94 1 /4
377 ÷ 4 = 94 remainder 1
By writing the whole number as a fraction, we will see that the solution is 377/4
How to solve the expression?
Here we want to take the difference between a whole number and a fraction:
95 - 3/4
To do this, we need to write the whole number as a fraction, to do it, we multiply and divide it by 4:
95 = (4/4)*95 = 380/4
Now we rewrite our expression as:
95 - 3/4 = 380/4 - 3/4 = 377/4
This is the solution of the expression.
If you want to learn more about fractions, you can read:
https://brainly.com/question/11562149