Barren's net worth statement exists shown to the right.
What is meant by net worth statement?Your total worth, including both financial and non-financial assets, equals your net worth less any outstanding obligations.
Using a net worth statement, you can view your financial situation at any given time. It is comparable to a "financial snapshot," showing the dollar amounts of your assets and liabilities (liabilities or debts).
Assets - Liabilities = Net Worth is the equation for calculating net worth.
The total of Lauren Juliana's debts will be subtracted from the total of her assets to determine her net worth (cash and jewelry).
= ($ 14,692 + $ 2,575) - ($ 10,981 + $ 1,682 + $ 787)
simplifying the equation, we get
= $ 3,817
barren's net worth statement is shown to the right.
To learn more about net worth statement refer to:
https://brainly.com/question/27218751
#SPJ1
The required total net worth of Lauren Juliana is $ 3,817.
What is implied by total assets articulation?Your all out worth, including both monetary and non-monetary resources, rises to your total assets less any remaining commitments.
Utilizing a total assets proclamation, you can see what is going on at some random time. It is equivalent to a "monetary preview," showing the dollar measures of your resources and liabilities (liabilities or obligations).
Resources - Liabilities = Total assets is the condition for working out total assets.
The complete of Lauren Juliana's obligations will be deducted from the absolute of her resources for decide her total assets (money and adornments).
= ($ 14,692 + $ 2,575) - ($ 10,981 + $ 1,682 + $ 787)
working on the situation, we get
= $ 3,817
desolate's total assets articulation is displayed to one side.
To learn more about net worth statement refer to:
brainly.com/question/27218751
#SPJ1
Solve for x. 6x−24=x−2
OPTIONS:
Enter answer in the box!
X = [?]
Answer:
point A
Step-by-step explanation:
find the truth value Of 3+4= 12, then 3+2=6
The truth value of "If 3 + 4 = 12, then 3 + 2 = 6", is true.
What is Truth Values?Truth value is defined as whether the given proposition is either true or false, not both.
Here the proposition is of the form if p, then q.
Here p is the statement 3 + 4 = 12 and q is the statement 3 + 2 = 6.
Here, both of the propositions are false.
The truth value of 'if p, then q' is false only when p is true and q is false. In all other cases the truth value is true.
Here, since both of the statements are false, the truth value is true.
Hence the truth value of the given proposition is true.
To learn more about Truth Values, click :
https://brainly.com/question/18994288
#SPJ1
Prove that for any natural n: a the number 7^(n+4) −7^n is divisible by 30.
For, n = 0, 1 we proved that 7⁽ⁿ⁺⁴⁾ - 7ⁿ hence by induction it is divisible by 30 for all n ∈ N.
What is mathematical induction?An inductive proof requires two cases. The first, or base case, establishes the proposition that n = 0 without requiring any prior knowledge of other situations. The second example, the induction step, demonstrates that if the assertion is true for any particular case where n = k, then it must also be true for the subsequent case when n = k + 1. These two actions prove that the statement is true for all n = 1 natural numbers. The base case establishes the truth of the statement for all natural numbers n N, but it does not always start with n = 0. Instead, it frequently starts with n = 1, and it may also start with any fixed natural number n = N.
Given, We have to prove 7⁽ⁿ⁺⁴⁾ - 7ⁿ is divisible by 30 for all n ∈ N.
Let, n = 0.
Therefore,
7⁴ - 7⁰.
= 2401 - 1.
= 2400.
= 30×80, Divisible by 30.
Similarly for n = 1 we have,
7⁵ - 7¹.
= 16807 - 7.
= 16800.
= 30×560.
Hence by induction, the cycle will continue.
learn more about mathematical induction here :
https://brainly.com/question/29503103
#SPJ1
Find the slope of the line that has an equation of 4x-2y=6
4x - 2y = 6
2y = 4x - 6
y = (4x - 6)/2
y = 2x - 3
What is the range of the function with the graph given below ?
The graph in the question is a parabola that opens downwards.
What is function?A function is a block of organized, reusable code that is used to perform a single, related action. Functions provide better modularity for your application and a high degree of code reusing. As you already know, Python gives you many built-in functions like print(), etc. but you can also create your own functions. These functions are called user-defined functions.
This means that the range of the function is all real numbers less than or equal to the y-intercept of the parabola, which is 0 in this case. Therefore, the range of the function is all real numbers less than or equal to 0.
To know more about function click-
https://brainly.com/question/25638609
#SPJ1
One pair of base angles of an isosceles trapezoid each have a measure of 2(x–10)°. The other pair of base angles of the trapezoid each have a measure of (4x+8)°. What is the value of x?
Answer:
x = 32
Step-by-step explanation:
• any lower base angle is supplementary to any upper base angle.
here base angle = 2(x - 10) and upper base angle = 4x + 8
supplementary angles sum to 180°
sum the base and upper base angles and equate to 180
2(x - 10) + 4x + 8 = 180
2x - 20 + 4x + 8 = 180
6x - 12 = 180 ( add 12 to both sides )
6x = 192 ( divide both sides by 6 )
x = 32
A machinist must cut 12 strips of metal that are each 3 ft 4 7/8 in. long. What is the total length needed in inches?
The total length needed in inches will be 490.5 inches.
How to calculate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
Since the machinist must cut 12 strips of metal that are each 3 ft 4 7/8 in. long The total length needed in inches will be:
= (3 ft 4 7/8 inch × 12)
Note that 1 feet = 12 inches
= (12 × 3) + (4 7/8) × 12
= (36 + 4.875) × 12
= 490.5 inches
Learn more about fractions on:
brainly.com/question/78672
#SPJ1
A train traveled 250 mi in 2 hours. If it traveled at the same rate of speed how long would it take the train to travel 600 mi
4.8
Divide 250 by 2 which is 125 then do 600 divided by 125. Then your answer should be 4.8.
SOMEONE PLEASE HELPPP
The values of the [tex]\bar x[/tex] (x-bar) (the mean) and the median of the dataset in the question are;
[tex]\bar {x}[/tex] ≈ 13.05
Median = 13.60
What is the mean and median of a dataset?The mean and the median are descriptive statistical values that provides a description of the data that can be found in the dataset.
The mean is the average value of the data in the dataset, and the median is the middle value of the set of data arranged in an order of increasing values.
The mean is the average value of the set of data which is obtained by dividing the sum of the data points by the number of the datapoints, we get;
The number of data points = 28
The sum of the data is; (4.7 + 12.6 + 3.6 + 16.1 + 2.3 + 28.2 + 2.2 + 16.9 + 10.7 + 19.5 + 11.4 + 27.9 + 11 + 15 + 4.2 + 15.8 + 15.9 + 17.3 + 24.9 + 10.8 + 16.4 + 7.3 + 3.2 + 14.6 + 2.6 + 8.4 + 21.2 + 20.8) = 365.5
The average is the mean is therefore; [tex]\bar x[/tex] = 365.5 ÷ 28 ≈ 13.05
The median is the value of the number in the middle when the numbers are arranged in increasing order as follows;
2.2, 2.3, 2.6, 3.2, 3.6, 4.2, 4.7, 7.3, 8.4, 10.7, 10.8, 11, 11.4, 12.6, 14.6, 15, 15.8, 15.9, 16.1, 16.4, 16.9, 17.3, 19.5, 20.8, 21.2, 24.9, 27.9, 28.2
The numbers at the middle of the set of numbers are 14th and 15th numbers, which are 12.6 and 14.6, which indicates that the median is the average of the two numbers, which is therefore;
Median = (12.6 + 14.6)/2 = 13.60
The median is 13.60
Learn more on descriptive statistics here: https://brainly.com/question/14942457
#SPJ1
i am number between 47 and 53 no two of my factors are the same number what number am i
A number between 47 and 53 such that the prime factors are not repeated is:
3*17 = 51
How to find the number?Remember that any number can be written as a product of prime factors.
If we want to find a number between 47 and 53, such that there are no repeated factors, we just need to take different primes and multiply them.
For example:
2*3*5*7 = 210
There are no repeated factors, but the number is not in the desired range.
2*5*7 = 70
Still not in the range.
You can try some times until you get for example:
3*17 = 51
This a number in the desired range, such that their prime factors are not repeated.
Learn more about prime factors:
https://brainly.com/question/1081523
#SPJ1
A local store is selling a tool for 35% off its normal price. If the tool costs $45, how much would you save by buying it on sale? A. $15.75, B. 18.25, C. 12.75, D. 16.50
I need an answer fast
Alright I got it.
So first what I did was I made an equation that match did the word problem.
The equation was 15x=250+10x
When I solved it the answer was 50.
so they would need to sell 50 Tshirts (x=50)
a parallelogram has sides that are in the ratio of 7:5 the premeter of the parallelogram is 48 how long does the longer side
Hello there!
Answer:
14
Step-by-step explanation:
Let the smaller side is x. Then the largest side is x * 7/5.
Perimeter is equal to 2 * (x + 7/5 * x) or 48.
2 * (x + 7/5 * x) = 48
5/5 * x + 7/5 * x = 24
12/5 * x = 24
12/5 * 5/12 * x = 24 * 5/12
x = 10.
Tha larger side is 10 * 7/5 = 14.
Step-by-step explanation:
Given ,
Ratio of the sides of a parallelogram are 7:5Perimeter of a parallelogram is 48To Find : Which side is longer
We know the formula to find the perimeter of a parallelogram is,
[tex]P = 2(a+b)[/tex]
We take 'x' to find out which side is longer
[tex]48 = 2(7x+5x)\\48 = 2(12x)\\48 = 24x\\\frac{48}{24} = x[/tex]
[tex]2 = x[/tex]
Side a = 7x = 7 x 2 = 14
Side b = 5x = 5 x 2 = 10
Side a [tex]\geq[/tex] Side b
Hence, side a is longer
A group of friends went to lunch. The bill before sales tax and tip was $37.50. A sales tax of 8% was added. The group then tipped 18% on the amount after the sales tax was added. What was the amount, in dollars, of the sales tax?
What was the total amount the group paid, including tax and tip?
Sales Tax = $3.00
The total amount paid by the group was $48.15
The amount of the sales tax can be calculated by multiplying the pre-tax bill of $37.50 by the sales tax rate of 8%:
Sales tax = $37.50 * 8% = $3.00
The total amount paid including tax and tip can be calculated by adding the amount of the sales tax to the pre-tax bill and then calculating the tip on the new total:
Total = $37.50 + $3.00 + ($37.50 + $3.00) * 18% = $37.50 + $3.00 + $7.65 = $48.15
So the total amount paid by the group was $48.15.
Drag each question to the correct location on the table.
Classify the questions as statistical or not statistical.
Each of the questions should be correctly classified as statistical or not statistical as follows:
Not statistical question: "How many hours did I jog yesterday?"Not statistical question: "How many students in my class can swim?"Not statistical question: "How many students in my class watch television?"Statistical question: "How many hours a day do the students in my class watch television?"Statistical question: "How many TV shows did each student in my class watch yesterday?"Statistical question: "How many days a week did each student in my class go swimming in the last month?"What is a statistical question?In Mathematics, a statistical question can be defined as a type of question in which the resulting answer is in the form of an average, percentage, or a range such as "How many TV shows did each student in my class watch yesterday?"
What is a non-statistical question?A non-statistical question simply refers to a question that is not non-statistical and it can be defined as a type of question which has an exact or fixed answer such as "How many students in my class can swim?"
Read more on statistical question here: https://brainly.com/question/29323914
#SPJ1
how long would it tak to go 75 miles if you can go 45 mph
When the angle of elevation to the sun is 49°, Naomi's shadow is 5 feet long. The
shadow of a nearby tree is 8 times as long as her shadow. How tall is the tree to the
nearest foot?
Answer:
46 feet-------------------------------
The height h of the tree is opposite to 49° angle of a right triangle with the other leg:
5*8 = 40 feet longUse tangent to find the value of h:
tangent = opposite/adjacenttan 49° = h/40h = 40*tan 49°h = 46 feet (rounded)The height of the tree is 40 feet to the nearest foot.
How can the height of the tree be found?
It can be found using similar triangles.
Let's call the height of the tree "x".
Since the angle of elevation to the sun is 49°, we have two similar triangles:
Triangle 1: Sun - Naomi - Ground (illustration attached)
Triangle 2: Sun - Tree - Ground
The height of Naomi, 5 feet, is one of the corresponding sides in the two triangles, and the height of the tree, x feet, is the other. We know the ratio of their heights is 8:1, so:
x ÷ 5 = 8
Solving for x, we find that:
x = 40
So the height of the tree is 40 feet to the nearest foot.
To know more about similar triangle visit:
https://brainly.com/question/2644832
#SPJ1
Rewrite 12x4y3 − 48x3y4 using a common factor.
Answer: 12x^3 y^3 (x − 4y)
(GCF is: 12x^3 y^3)
Step-by-step explanation:
This is the best I can do, sorry that I don't have an explanation.
Which fraction is equivalent to -3/5
Answer: 3/-2
Step-by-step explanation:
3/-2 and -3/2 mean the same thing and give same result if we divide the numerator by denominator.
hope that helps...
Let L be the line through A = (1, 2,−1) and B = (5,−3, 4).
Answer the following questions below:
1. Find a direction vector of L
2. Find a parameterization of L.
3. Find the two points on L that are at distance 2 away from A.
4. Find a unit speed parameterization of L.
Answer:
(4, -5, 5)L = (1+4t, 2-5t, -1+5t)(1+4√66/33, 2-5√66/33, -1+5√66/33), (1-4√66/33, 2+5√66/33, -1-5√66/33)(1-2t√66/33, 2+5√66/66, -1-5√66/66)Step-by-step explanation:
Given L is the line through A(1, 2, -1) and B(5, -3, 4), you want its direction vector, a parameterization of L, 2 points on L that are 2 units from A, and a unit speed parametrization of L.
1. Direction vectorA direction vector for L will be the vector AB.
[tex]\overrightarrow{AB}=B-A=(5,-3,4)-(1,2,-1)\\\\\boxed{\overrightarrow{AB}=(4, -5,5)}[/tex]
2. Parameterized lineThe parameterized equation will be ...
[tex]L=A+t\cdot\overrightarrow{AB}\\\\\boxed{L=(1+4t,2-5t,-1+5t)}[/tex]
3. Distance 2The direction vector has length √66, so we can find two points on L that are 2 units from A by using t = ±2/√66 in the parameterized equation.
Here, they are:
P1 = L(2/√66) = (1 +8/√66, 2 -10/√66, -1 +10/√66)
P2 = L(-2/√66) = (1 -8/√66, 2 +10/√66, -1 -10/√66)
In the Answer section above, these are written with rationalized denominators.
4. Unit speedThe unit speed parametrization uses the unit direction vector instead of the unnormalized direction vector in the parameterized equation. Effectively, t is scaled by a factor of 1/√66.
L = (1 +4t/√66, 2 -5t/√66, -1 +5t/√66)
In the Answer section above, this is written with rationalized denominators.
You might notice here that it is easier to answer part 3 if you have this equation. You need only substitute t=±2 to get the points 2 units from A.
6y2 + 3y - 1 4 for y = 1
The value of the given polynomial equation would be: [tex]6(1)^2 + 3(1) - 1 = 6 + 3 - 1 = 8.[/tex]
Why use the vertex form?In contrast to the vertex form of a quadratic equation, which is y = a (x h) 2 + k, the normal quadratic form is written as an x 2 + b x + c = y. The constant that indicates whether the parabola is facing up (+ a) or down ( a) is called a. It is represented in both forms by the letters y, x, and a.
In the equation we are given the value of y as: 1
[tex]6y2 + 3y - 1 4 \\\\6(1)^2 + 3(1) - 1 = 6 + 3 - 1 = 8.[/tex]
Therefore, we can say that the value of the given polynomial is: 8
To know more about polynomial equations visit :-
brainly.com/question/30127172
#SPJ1
Complete question is: Find 6y2 + 3y - 1 4 for y = 1
PLEASE FAST WILL GIVE BRANILY
A 12-foot tall tent pole is secured to the ground using a piece of rope 15 feet long from the top of the tent pole to the ground. If the tent pole makes a 90-degree angle with the ground, determine the number of feet along the ground from the tent pole to the rope.
3 feet
9 feet
19 feet
81 feet
Answer:
3 feet
Step-by-step explanation:
To solve this problem, we can use the Pythagorean theorem. Let's call the distance from the tent pole to the rope x. We can set up the following equation:
x^2 + 12^2 = 15^2
Solving for x, we get:
x = sqrt(15^2 - 12^2)
x = sqrt(9)
x = 3
Therefore, the distance from the tent pole to the rope is 3 feet.
an altitude is drawn from the vertex of an isosceles triangle forming a right angle and two congruent triangles. as a result, the altitude cuts the base into two equal segments. the length of the altitude is 30 inches, and the length of the base is 10 inches. find the triangles perimeter. round to the nearest tenth of an inch.
The perimeter of the isosceles triangle with altitude 30 inches and base 10 inches is calculated to be 70.82 inches
How to find the perimeter of the isosceles trianglePerimeter of a triangle refers to the surface dimensions, this is calculated by the formula
Perimeter, P = a + b + c
where
a, b, c are sides of the triangle
The third side of the triangle will be calculated using Pythagoras theorem given by the the formula
hypotenuse² = opposite² + adjacent²
The right triangle consist 1/2 the isosceles triangle base = 5 inches and the altitude = 30 inches
plugging the values as in the problem
let x be the required distance
x² = 30² + 5²
x² = 900 + 25
x² = 925
x = √925
x = 30.41 inches
Perimeter of the isosceles triangle
= 30.41 + 30.41 + 10
= 70.82 inches
Learn more on Pythagoras theorem here:
https://brainly.com/question/29363020
#SPJ1
You are dealt one card from a 52-card deck. Find the probability that you are not dealt a jack or a ten
If you are dealt one card from a 52-card deck. The probability that you are not dealt a jack or a ten is 12/13.
How to find the probability?Since there are 4 aces in a deck of card 52 first step is to find the number of cards not aces in a deck of 52
Number of cards not aces in a deck = 52 -4
Number of cards not aces in a deck = 48
Now let find the probability that you won't draw an ace.
Probability = 48/52
Probability = 24/26
Probability = 12/13
Therefore we can conclude that the probability is 12/13.
Learn more about probability here:https://brainly.com/question/24756209
#SPJ1
Keshia goes to the post office to mail a package and a few letters. Stamps cost 49 cents each. It will cost $7.65 to mail the package. Keshila has 10.00. a. Write an inequality to represent this situation, where x is the number of stamps.
The inequality to represent the number of stamps Keshia can buy with $10.00, considering that each stamp costs 49 cents, can be written as:
0.49x + 7.65 <= 10.00
Define Inequality.An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.
Define expression.Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
The inequality to represent the number of stamps Keshia can buy with $10.00, considering that each stamp costs 49 cents, can be written as:
0.49x + 7.65 <= 10.00
This inequality can be read as "the cost of x number of stamps plus the cost of the package is less than or equal to Keshia's budget of $10.00."
To learn more about algebra visit:
brainly.com/question/24875240
#SPJ1
Y’all helppppp questions on the photo
The division expression is equivalent to the given expression is (13/ 3)/ (-5/6)
What is expression ?
expression can be defined as with the minimum of two variables or numbers and at least one math operation.
Given expression,
= 4 1/3 / (-5/6 )
= (13/3 )/ (-5/6)
= 13*6 / -15
= -26/5
By evaluating the other expressions to find its equivalent,
(13 / 3) / (-5/6)
= 13 * 6 / -15
= -26/5
Hence , the expression 4 1/3 / (-5/6 ) is equivalent to (13 / 3) / (-5/6) .
To learn more about expression from the given link.
brainly.com/question/1859113
#SPJ1
The division expression is equivalent to the given expression is (13/ 3)/ (-5/6)
What is expression ?expression can be defined as with the minimum of two variables or numbers and at least one math operation.
What is division?Division is one of the four basic mathematical operations of arithmetic, along with addition, subtraction, and multiplication. The division operation is represented by the symbol ÷ or /, and it is the inverse operation of multiplication.
Given expression,
= 4 1/3 / (-5/6 )
= (13/3 )/ (-5/6)
= 13*6 / -15
= -26/5
By evaluating the other expressions to find its equivalent,
(13 / 3) / (-5/6)
= 13 * 6 / -15
= -26/5
Hence , the expression 4 1/3 / (-5/6 ) is equivalent to (13 / 3) / (-5/6) .
To learn more about expression from the given link.
brainly.com/question/1859113
#SPJ1
Can any1 help with this pls
What is the value of y in the equation y = 1/4 x divided by 2 when x =32
The value of y is 16 when x = 32 for equation y = (1/4)x divided by 2.
What is an equation?Mathematical expressions with two algebraic expressions on either side of the equals (=) sign are called equations. It displays how the expressions on the left and right sides are equally related. We have LHS = RHS in any mathematical equation. Equations can be solved to get the value of an unknown variable that represents an unknown quantity. If there is no "equal to" symbol, a statement is not an equation.
The given equation is
y = 1/4 x divided by 2
So,
y = ((1/4)x)/ 2
y = (2/4) × x
Put x = 32
y = 2/4 ×32
y = 2 × 8
y = 16
To know more about equations, visit:
https://brainly.com/question/14410653
#SPJ1
According to historical data, it is believed that 12% of American adults work more than one job. To investigate if this claim is still accurate, a random sample of 100 American adults is selected. It is discovered that 18 of them work more than one job. A researcher would like to know if the data provide convincing evidence that the true proportion of American adults who work more than one job differs from 12%. Are the conditions for inference met? Yes, the conditions for inference are met. No, the 10% condition is not met. No, the Large Counts Condition is not met. No, the randomness condition is not met.
Answer: The conditions for inference are met in this scenario.
In order to use inference to determine if the true proportion of American adults who work more than one job differs from 12%, the following conditions must be met:
The sample must be randomly selected from the population.
The sample size must be large enough (usually at least 30).
The sample must be representative of the population.
In this case, it is stated that a random sample of 100 American adults was selected, which meets the first condition.
The sample size of 100 is also large enough, which meets the second condition.
There is no information given about whether the sample is representative of the population, but this is not necessary for the conditions for inference to be met.
Therefore, the conditions for inference are met in this scenario.
Step-by-step explanation:
The value of a second-hand car is £8,000.
Each year it loses 20% of its value.
Work out the value of the car after 5 years.
The value of the car will be £2,621 after 5 years.
What is exponential decay?Exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time.
Given that, The value of a second-hand car is £8,000. Each year it loses 20% of its value, we are asked to find its value after 5 years.
This is a situation of exponential decay.
Hence, using the exponential decay formula =
A = P(1-r)ⁿ
Where A is final value, P is principal value, r is rate of decrease and n is the number of years.
Here, we will find A, and we have,
P = £8,000.
r = 20% = 0.20
t = 5
Therefore,
A = 8000(1-0.20)⁵
A = 8000(0.80)⁵
A = 8000(0.32768)
A ≈ 2,621
Hence, the value of the car will be £2,621 after 5 years.
For more references on exponential decay, click;
https://brainly.com/question/2193799
#SPJ1