The net worth of a given family is $227500.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
Assets are simply subtracted from liabilities to determine net value. Your money and investments, your home and other properties you own, your automobiles, and any other valuable possessions you own are all considered assets.
Assets = 3,000 + 13,000 + 5,500 + 15,000 + 64,000 + 320,000 + 25,000 + 39,000 = 484500
Liabilities = 500 + 210,000 + 18,000 + 25,000 = 257000
Net worth = Assets - Liabilities
Net worth = $484500- $257000 = $227500
Thus, the net worth of a given family is $227500.
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Find the set (An C)'.
U=(1, 2, 3, 4, 5, 6, 7)
A=(2, 4, 6, 7)
C= {1, 2, 3, 4, 5)
The set (A∩C)' is {1, 3, 5, 6, 7}.
The universal set is denoted by "U".U = {1, 2, 3, 4, 5, 6, 7}The set A is {2, 4, 6, 7}The set C is {1, 2, 3, 4, 5}A∩C stands for the set containing the common elements from set A and set C. The symbol "∩" stands for the intersection of the sets.A∩C = {2, 4}(A∩C)' stands for the complement of the set (A∩C).(A∩C)' is equal to the universal set minus the set (A∩C).(A∩C)' = U - (A∩C)(A∩C)' = {1, 2, 3, 4, 5, 6, 7} - {2, 4}(A∩C)' is {1, 3, 5, 6, 7}.Simply said, a set in mathematics is a grouping of different items. Any group of objects, such as a collection of numbers, days of the week, different kinds of cars, etc., can be included in a set. An element of the set is any component of the set. When writing a set, curly brackets are utilized. An extremely basic set might look somewhat like this. Set A = {1,2,3,4,5}. The components of a set can be represented using a variety of notations. Typically, sets are represented by a set builder form or a roster form.
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Is the following a power function, a polynomial, both, or neither?
f(x) = -5x² + 3x +3
The variable have positive integer exponent. so f(x) = -5x² + 3x +3 is a polynomial function.
Polynomial function also describe:A polynomial function is one that uses only non-negative integer powers or positive integer exponents of something like a variable in an equation such as the quadratic equation, cubic equation, and so on. For illustration, 2x+5 is a polynomial with an exponent of one.
What constitutes a polynomial?A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, as well as division (No division operation by a variable).
According to the given equation:f(x) = -5x² + 3x +3
Make the leading coefficient positive:
= 5x² - 3x -3
identify the coefficient:
a = 5, b = -3, c = -3
substituting into the:
[tex]$x=\frac{-b \pm \sqrt{b^2-4 a c}}{2 a}$[/tex]
[tex]$x=\frac{-(-3)+\sqrt{(-3)^2-4 \times 5 \times(-3)}}{2 \times 5}$[/tex] or [tex]$x=\frac{-(-3)-\sqrt{(-3)^2-4 \times 5 \times(-3)}}{2 \times 5}$[/tex]
[tex]$x=\frac{3+\sqrt{3^2+4 \times 5 \times 3}}{2 \times 5}$[/tex] or
[tex]$x=\frac{3+\sqrt{9+4 \times 5 \times 3}}{2 \times 5}$[/tex]
[tex]$x=\frac{3+\sqrt{69}}{10}$[/tex]
x = ± [tex]\frac{3+\sqrt{69}}{10}$[/tex]
As we can see that the general form of a power function is f(x) = axⁿ , where a is a non zero co-efficient and 'n' is a real number.
so the given function is not a power function.
So,
the variable have positive integer exponent. so f(x) = -5x² + 3x +3 is a polynomial function.
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A grocery store sells a bag of 4 oranges for $1.04. If Jace spent $2.34 on oranges, how many did he buy?
Answer: 9 oranges
Step-by-step explanation:1.04/4=0.26
1 orange =0.26
2.34/0.26=9 oranges
Answer:
$2.86
Step-by-step explanation:
1.04 divided by 4 is 0.26 per orange. So 0.26 times 11 is 2.86
Please give brainliest
please help
please hury
The relation that is a function is relation (b)
How to determine the relation that is a function?The ordered pairs in the option represent the given parameters
For a relation (i.e. the ordered pairs) to be a function, the following must be true:
Each y value on the ordered pair must have exactly one x value
i.e. no x value must point to the different y value
Having said that the relation that is a function is relation (b)
Hence, the the relation that is a function is relation (b)2
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Suppose that Nacho takes a multiple choice test. The test has 4 questions. Each question has 4 choices.
What is the probability that Nacho will get all 4 questions wrong?
The probability that Nacho will get all 4 questions wrong will be 0.3164.
How to illustrate the information?From the information, Nacho takes a multiple choice test, the test has 4 questions and each question has 4 choices.
The probability of getting the correct option is 1 out of 4 which is 0.25 and the incorrect option is 0.75.
Therefore, the probability that Nacho will get all 4 questions wrong will be:
= (0.75)⁴
= 0.3164
Therefore, the probability that Nacho will get all 4 questions wrong will be 0.3164.
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Question 4 options: If random variable X has a binomial distribution with n =10 and P(success) = p =0.6, find the probability that X is more than 3. (That is, find P(X>3)
The probability that X is more than 3 i.e. P(x > 3) is 0.945
How to find the probability that X is more than 3?The given parameters are
Number of experiments, n = 10Number of success, x > 3Probability of success, p = 0.6The probability that X is more than 3 can be calculated using the following equation
P(x <= 3) + P(x > 3) = 1
So, we have
P(x > 3) = 1 - P(x <= 3)
This gives
P(x > 3) = 1 - P(0) - P(1) - P(2) - P(3)
The individual probabilities are calculated using
P(x) = C(n,x) * p*x * (1 -p)^(n-x)
So, we have
P(0) = C(10,0) * 0.6^0 * (1 -0.6)^(10 - 0) = 0.0001
P(1) = C(10,1) * 0.6^1 * (1 -0.6)^(10 - 1) = 0.00157
P(2) = C(10,2) * 0.6^2 * (1 -0.6)^(10 - 2) = 0.01062
P(3) = C(10,3) * 0.6^3 * (1 -0.6)^(10 - 3) = 0.04247
So, we have
P(x > 3) = 1 - 0.0001 - 0.00157 - 0.01062 - 0.04247
Evaluate
P(x > 3) = 0.945
Hence, the probability that X is more than 3 is 0.945
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The monthly rent for the first house is $1,190, and the Bainters can expect it to increase 1.7% every year. The Bainters want to calculate their monthly rent over time.
What is an appropriate way to calculate the monthly rent over time?
Your answer should include
a specific strategy or model that you could use
an explanation of how you would use that model to solve the problem
The appropriate way to calculate the monthly rent over time is 1190 × 1.017^n.
How to calculate the value?From the information, it was stated that the monthly rent for the first house is $1,190, and the Bainters can expect it to increase 1.7% every year and that the Bainters want to calculate their monthly rent over time.
Therefore, the appropriate expression will be:
= 1190 × (1 + 1.7%)^n
where n = number of years
= 1190 × 1.017^n
Therefore, the appropriate way to calculate the monthly rent over time is 1190 × 1.017^n.
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You consider buying a phone from one of two cell phone carriers. The table shows the total costs (in dollars) of the phone and service for different numbers of months at Carrier A. The total cost $y$y (in dollars) of the phone and x$x$x months of service at Carrier B is represented by the equation y is equal to 55 x plus 300$y=55x+300$y=55x+300 . Which carrier has the lower initial fee?
Answer:
Carrier B
Step-by-step explanation:
The linear equation that represents Carrier B is y=55x+300. it's a linear equation so 55 represent the monthly fee and 300 represents the initial fee. So the initial fee of carrier B is 300. In case of Carrier A, the total cost increases by $150 as months increases by 3. So The initial fee of Carrier A is 500-150=$350 . Hence, Carrier B has lower initial fee.
interval notation, and domain and range
The domain and the range of the graph in interval notation are (-∝, ∝) and [-3, ∝) respectively
What is the domain and the range of a function?The domain of the function is the set of input values of the graph while the range of a function is the set of output values of the graph.
How to determine the domain and the range of the function?The graph represents the given parameter
Based on the definition above, the range of a function is the set of y values of the graph while the domain is the set of x values of the graph
On the graph, we can see that:
The x values extend indefinitely on the graph;
This means that the domain is (-∝, ∝)
While y values start from -3 and increases up
This means that the range is [-3, ∝)
Hence, the domain and the range of the function in interval notation are (-∝, ∝) and [-3, ∝) respectively
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ASAP!!!!!!!!!!!!!!!!!!!!! 40 points!!!Create your own division problem and show how to use the Remainder Theorem to determine whether a binomial is a factor of a polynomial function.
Because the remainder is 0, then the binomial x + 3 is a factor of the polynomial (-3)^2 + 5(-3) + 6
What is a division problem?A division problem is an expression or an equation that involves the quotients of numbers or polynomials
How to create the division problem?To create the division problem, we make use of the following expression
(x^2 + 5x + 6)/(x + 3)
Using the remainder theorem, we have
Dividend = x^2 + 5x + 6
Divisor = x + 3
Set the divisor to 0,
So, we have
x + 3 = 0
This gives
x = -3
Substitute x = -3 in the dividend to get the remainder
So, we have
Remainder = (-3)^2 + 5(-3) + 6
Evaluate
Remainder = 0
Because the remainder is 0, then the binomial x + 3 is a factor of the polynomial (-3)^2 + 5(-3) + 6
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15 feet
The perimeter is
E
Find the perimeter and area of the square pictured above.
The area is
0
feet.
square feet.
Answer:
Step-by-step explanation: You could try to times 15 by each side or add them or turn it into an expression like E*15=0
Adventure Travel has an Adjusted Trial Balance for Year Ended December 31, 20XX with the following account balances:
DEBITS: Cash: 25,000; Accounts Receivable: 15,000; Office Supplies: 4,300; Office Equipment: 29,600
CREDITS: Accumulated depreciation - office equipment: 5,000; Salaries Payable: 2,800; Long-term notes payable: 22,200; Common Stock: 20,000; Retained Earnings: 10,260
DEBIT: Cash Dividends: 1,000
CREDITS: Fees Earned: 75,000
DEBITS: Salaries Expense: 32,800; Rent Expense: 16,800; Depreciation expense - office equipment: 3,960; Advertising expense: 4,000; Office supplies expense: 2,800.
Total Debits = 135,260; Total Credits = 135,260
Determine the amount of Net Income Adventure Travel will report for the year ending December 31, 20XX. Specify whole number.
The net income of Adventure Travel using its Adjusted Trial Balance for Year Ended December 31, 20XX, is $14,640
What is net income?
The net income is the excess of fees earned by Adventure Travel in the year ended over its total expenses, in essence, we need to determine its total expenses first and foremost, which comprises of salaries expense, rent expense, depreciation expense, advertising expense and office supplies expense
total expense=32,800+16,800++3960+4000+2800
total expenses=60,360
fees earned=75,000
net income =fees earned-total expenses
net income=75,000-60,360
net income=$14,640
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S Slitsnails are large mollusks that live in deep waters. They have been found in the range of elevations $e$ shown.
A photo shows elevations under water. The range of elevations extends from negative 100 feet to negative 2500 feet.
Write the compound inequality that represents this range.
The range could be written in inequality form will be:
-2500 ≤ x ≤ -100.
Living in the deep sea are slitsnails. It is assumed that they inhabit depths ranging from 100 to 2500 feet.
Let x represents the distance between the water and the surface.
The depth will decrease as we sink further into the water.
Therefore, the depth could range from 100 to 2500 feet.
The maximum depth is 2500 feet, and the lowest depth should be 100 feet.
So, the range could be expressed as follows in inequality form:
-2500 ≤ x ≤ -100.
Hence the required compound inequality is framed.
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Find all the integer solutions of each system of intequalities. 12a - 37 > 0, 6a ≤ 42. Any right answer is named brainliest !
Answer:
For 12a - 37 > 0 answer is a > 37/12
For 6a ≤ 42 answer is a ≤ 7
Step-by-step explanation:
Which Are the correct answers A B C D?
Answer:
A. You can write the number as a Ratio of two entegers
D. You know what the next number is
what is the length of segment LN?
Answer:
(b) 8 cm
Step-by-step explanation:
You want to know the length of segment LN with midpoint M and the length of LM given as 4 cm.
Segment additionThe segment addition theorem tells you the length of a line segment is equal to the sum of the lengths of its parts.
LN = LM +MN
MarkingsThe hash marks on segments LM and MN mean those segments have the same length. Then the sum is ...
LN = (4 cm) +(4 cm) = 8 cm
The length of segment LN is 8 cm.
The length and width of a rectangular garden are 15 meters and 10 meters, respectively. A walkway of width x surrounds the garden.
A. Write the perimeter y of the walkway in terms of x.
B. Determine the slope of the graph in part A. For each additional one meter increase in the width of the walkway, determine the increase in its perimeter.
The perimeter of the walkway in terms of y will be y = 50 + 8x. The slope will be 8.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
Given that the length and width of a rectangular garden are 15 meters and 10 meters, respectively. A walkway of width x surrounds the garden.
The perimeter will be calculated as:-
Perimeter = 2 ( W + L )
Perimeter = 2 [ ( 15 + 2x ) + ( 10 + 2x ) ]
Perimeter = 2 ( 10 + 2x + 15 + 2x )
Perimeter = 2 ( 25 + 4x )
y = 50 + 8x
Compare the equation with the general form of the equation:-
y = 50 + 8x
y = mx + c
Slope = 8
Therefore, the perimeter of the walkway in terms of y will be y = 50 + 8x. The slope will be 8.
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one positive number is 4 more than twice another.their product is 48
Line J: y=2/3x + 1/2
Line k: y= 1/2x + 2/3
Line L : y= 2/3x + 3/2
Line m: y= 3/2x+ 1/2
These four lines have been graphed on the same coordinate grid. Which lines are parallel to each other?
A: j and m
B: k and L
C: k and m
D: j and L
2 lines that are parallel are (D) J and L.
What are lines?A line is an infinitely long object with no width, depth, or curvature in geometry. Lines are thus one-dimensional objects, even though they can exist in two, three, or higher dimensions. In everyday language, the term line can also refer to a line segment with two points denoting its ends. A line is a straight one-dimensional figure with no thickness that extends in both directions indefinitely.So, plot all 4 lines on the graph (refer to the graph attached below).
We can observe that line J is parallel to line L.Therefore, 2 lines that are parallel are (D) J and L.
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Micah had $76.10 in his bank account. He earned $18 washing his uncle’s car and then deposited the money in his account. What is his new account balance?
Answer:
$94.10
Step-by-step explanation:
$76.10 + $18.00 = $94.10
The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 27.7 years, with a standard deviation of 3.2 years. The winner in one recent year was 31 years old.
The transforming the winner's age to a z-score is 1.03 and z-score is below the mean age of the winners.
What is mean?Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers. Mean = (Sum of all the observations/Total number of observations).
Given:
Population mean,
μ=27.7 years
Population standard deviation,
σ=3.2 years
Winner's age =31 years
According to given question we have
If "x" represents the age of the winner then the z-score for "x":
z=x−μ/σ
a) Transforming the winner's age to a z-score
z=31−27.7/3.2
=1.03
(b) Interpretation of the z-score:
The winner's age of 31 years is 1.03 standard deviation below the mean age of the winners.
Therefore, the transforming the winner's age to a z-score is 1.03 and z-score is below the mean age of the winners.
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To find the
a) Transforming the winner's age to a z-score
(b) Interpretation of the z-score
is missing
What’s the correct answer asap for brainlist
Look at BDC and ADB in the image below.
8
D
Which of the following is the best description for this pair of angles?
O complementary
Oright
O supplementary
O acute
Answer: right
Step-by-step explanation:
A researcher wants to estimate the proportion of depressed individuals taking a new anti-depressant drug who find relief. A random sample of 200 individuals who had been taking the drug is questioned; 152 of them found relief from depression. Based upon this, compute a 95% confidence interval for the proportion of all depressed individuals taking the drug who find relief. Then find the lower limit and upper limit of the 95% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.
Lower Limit:
Upper Limit:
Using the z-distribution, the limits of the 95% confidence interval are given as follows:
Lower: 0.70.Upper: 0.82.What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
For this problem, the parameters are given as follows:
[tex]n = 200, \pi = \frac{152}{200} = 0.76[/tex]
Then the bounds are given as follows:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 - 1.96\sqrt{\frac{0.76(0.24)}{200}} = 0.70[/tex][tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 + 1.96\sqrt{\frac{0.76(0.24)}{200}} = 0.82[/tex]Which are the lower and upper limits, respectively.
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If f(x) = 5x + 40, what is f(x) when x = –5?
–9
–8
7
15
The value of f(x) when x equals -5 is 15. Option D
What is a function?A function can be defined as an expression, law or rule that explains the relationship between two variables;
The independent variableThe dependent variableGiven the function;
f(x) = 5x + 40
To determine the value of the function when x = - 5, we have to substitute the value of x as -5 in the function.
With this, we have;
f(-5) = 5(-5) + 40
Now, expand the bracket
f(-5) = -25 + 40
Add the values, we have;
f(-5) = 15
We can see that the value of the function with the input of the variable x as -5 is 15
Thus, the value of f(x) when x equals -5 is 15. Option D
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the length of a rectangular sign is 12ft less than twice its width. Its permiteter is 114ft. What is the length and the width
Késhaun conducted an experiment using a toy car and ramps of various
heights. He measured the distance, in centimeters (cm), the toy car
traveled from the end of the ramp. He also recorded the height, in
centimeters (cm), of the ramp. He found that the toy car traveled 64 cm
when the ramp height was 15 cm. The toy car traveled 112 cm when the
ramp height was 26 cm.
Write the equation of the line, in standard form, where x represents the
ramp height, in cm, and y represents the distance, in cm, the toy car
travels.
Step-by-step explanation:
we have 2 points on the line :
(15, 64) and (26, 112)
the standard form I assume is the slope-intercept form :
y = ax + b
"a" being the slope, "b" being the y-intercept (the y value when x = 0).
the slope is the ratio (y coordinate difference / x coordinate difference) when going from one point on the line to another.
the direction does not matter, but when picking one for one coordinate difference calculation, we have to use the same direction for the other.
I prefer to go from left to right.
so, in our case here
x changes by +11 (from 15 to 26).
y changes by +48 (from 64 to 112).
the slope "a" is +48/+11 = 48/11
so, our equation looks already like this :
y = 48/11 x + b
now, we use any of our points to get b.
let's pick (15, 64) :
64 = 48/11 × 15 + b = 720/11 + b
704/11 = 720/11 + b
-16/11 = b
and our full equation is
y = 48/11 x - 16/11
or
y = 1/11 × (48x - 16/11)
or
y = 16/11 × (3x - 1)
Maya and Praisy are planting corns on a same farm. Maya plants 4 rows and Praisy plants 6 rows. If Mayas corns are ready to be picked in 8 weeks, how many weeks will it take Praisys corn to ready?
It will take 12 weeks for Praisys corn to be ready for picking.
We have been given that,
Maya plants corns In = 4 rows
Praisy plants corns in = 6 rows
Maya corns ready to be picked in = 8 weeks
We have to find the number of weeks will it take Praisys corn to be ready for picking.
To find we will use the unitary method that is,
4 rows = 8weeks
6 rows = 8/4*6 weeks
= 12 weeks
Thus 12 weeks will it take Praisys corn to be ready for picking.
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Find the missing numbers 2, 1, 0, ?, ?,.....
Answer:
Step-by-step explanation:
It's just a countdown sequence
2 1 0 -1 -2 ....
Determine the domain and the range of the relation. The domain for this relation is (0, 1, 3). The range for this relation is (-2, 1, 2)
The domain for this relation is {1,3} and the range for this relation is {2}.
According to the question, the given domain and range of the relation is as follows:
The domain for this relation is : {0, 1, 3}
The range for this relation is : {-2, 1, 2}
As per definition, the domain is the set of all possible values which a function take as an input.
Therefore, the domain for this relation is : {1, 3}
And the range for this relation is: {2}
Hence, the domain for this relation is {1,3} and the range for this relation is {2}.
What is domain and range of a function?
The domain is the set of all the possible values which a function can take as an input. And the range is also the set of paired values which represent the output of a function.
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