The insurance company will pay $192, which is the asset's present value.
What is meant by replacement value?The sum of money required to fix your house at the cost of construction materials today, or to replace your possessions at the cost of an equivalent or comparable item today the cost of purchasing a comparable asset to replace an existing one at the going rate on the market.
To be fully insured, your dwelling limit must equal at least 80% of the rebuild value of your house. The average cost of reconstructing a home per square foot in your area can be multiplied by the square footage of your home to determine the replacement cost. Market value and replacement cost are not the same thing.
Therefore,
The distribution of cost over the course of an asset's useful life is known as depreciation. It speaks of the rate at which the value of an asset depreciates over time.
When figuring out depreciation, the original value is utilized. It does not use current market value.
Over the course of the asset's useful life, the value is distributed equally.
In this instance
Depreciation per year = Asset value ÷ Years of useful life
Depreciation per year = 288 ÷ 6 = $48
The asset has been used for 2 years
Amount depreciated = 48 × 2 = $96
Present value = Original value - Depreciation
Present value = 288 - 96 = $192
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Choose Yes or No to tell whether the expression represents a 20% discount off the price of an item that originally cost d dollars.
0.8d (yes or no)
d – 0.2 (yes or no)
d – 0.2d (yes or no)
1 – 0.2d (yes or no)
(20 points)which of these equations doesn’t fit with each other with what we’ve been learning about perpendicular lines explain why for full credit, equations in photo
Answer:
Line D
Step-by-step explanation:
You want to know which line is not parallel or perpendicular to the other given lines:
A: 2y -x = 2
B: 4y = -8x -4
C: y = -2x +4
D: 5y = 10x +15
Standard formWe can write each of these equations in standard form to make it easier to compare them. That form is ...
ax +by = c
where a > 0 and a, b, c are mutually prime.
The equations are ...
A: x -2y = -2
B: 2x +y = -1
C: 2x +y = 4
D: 2x -y = -3
Parallel linesEquations with the same coefficients of x and y will be parallel:
2x +y = -1 and 2x +y = 4 . . . . lines B and C
Perpendicular linesEquations with coefficients that have been swapped, with one negated, will be perpendicular:
x -2y = -2 and 2x +y = -1 . . . . lines A and B
Line A is perpendicular to parallel lines B and C, so line D is the odd one out.
Line D doesn't fit.
Use the binomial theorem to expand expressions 1-4 and answer question 5.
1. (3x^2 +y)^3
2. (5x^4 +2y^5)^4
3. (x^3 +4y^2)^5
4. (x-2y)^6
5. find the coefficient of x^3 y^4 in the expansion of (2x+5y^2)^5
On solving the provided question, we cans ay that the value of x from the polynomial [tex]5x^4 +2y^5)^4[/tex] and [tex](3x^2 +y)^3[/tex] is = 16 and 1
what are polynomials?A polynomial is a mathematical statement made up of coefficients and uncertainty that exclusively uses additions, subtractions, multiplications, and positive integer powers of variables. A single indeterminate x polynomial is represented by the expression x2 4x + 7. A polynomial is an expression in mathematics that consists of variables (sometimes referred to as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. A polynomial is an algebraic expression made up of coefficients and variables. The only operations that an expression can contain are addition, subtraction, multiplication, and non-negative integer exponents. These expressions are known as polynomials.
here,
[tex]5x^4 +2y^5)^4[/tex] and [tex](3x^2 +y)^3[/tex]
as x = 0 and y = 1
answer is = 16 and 1
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Susan invested a total of $9000 in two accounts. One account pays 3% interest and the other account pays 6% interest. The total return from both accounts was $450.
The money invested in a account with 3% interest is $3000 and the money invested in a account with 6% interest is $6000.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.
Given that, Susan invested a total of $9000 in two account.
One account pays 3% interest and the other account pays 6% interest.
Let the money invested in a account with 3% interest be x.
Then, the money invested in a account with 6% interest be 9000-x.
The total return from both accounts was $450.
Here, (x×3×1)/100 + ((9000-x)×6×1)/100 =450
3x+54000-6x=45000
54000-3x=45000
3x=9000
x=$3000
So, 9000-x=$6000
Therefore, the money invested in a account with 3% interest is $3000 and the money invested in a account with 6% interest is $6000.
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a movie theater has 24 screens. ration of action to other films is 1:2. How many action films are currently showing
Answer: 12
Step-by-step explanation: Because of the ratio we know that half of the screens will be showing action films. Half of 24 is 12, so 12 screens will be playing action.
the graph of a function f is the collection of ____________ or (x,f(x)) such that x is in the domain of f
Below are graphs of several functions. Which functions have the specified domain and range ? There may be more than one correct answer
For the given value of domain and range , By observing the figure, The correct answer are options B,C and E.
What do you mean by function?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
What are domain and range of the function?A function's domain and range are the set of all possible inputs and outputs, respectively. A function's domain and range are crucial components. The range includes all of the function's output values, whereas the domain includes all potential input values from the set of real numbers.
domain : (x | x 3/2)
range : (-∞ , 2)
For these values, Option B , C and E holds that they exists when x 3/2 and it's output that is y exists between (-∞ , 2).
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Please help I don’t understand this
On solving the provided question, we can say that - the area of the following rectangle is 200 cm sq.
What is rectangle?A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.
here,
we have
L = 20 cm
and B = 10 cm
Area of rectangle, A =L X B = 20 X 10 = 200 cm sq.
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7 - Select the equation that represents a true statement.
Mark all that apply.
A. 2+3 × 4 = 22 +12
B. z+zx9 = 9z O
C. -8y + 4.3y + 3.7 = 0
D. 12-1.8b+ 1.8b = 1.8b
E. m8+7(8) = m
So the only true statement among the options is C. -8y + 4.3y + 3.7 = 0
Define Equation.The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Define Algebraic expression.An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.
A. 2+3 × 4 = 22 +12 is not a true statement, because the order of operations is not followed, multiplication should be done before addition.
B. z+zx9 = 9z is not a true statement, because it is not clear what the operation is between z and x, and what the operation is between x and 9
C. -8y + 4.3y + 3.7 = 0 is a true statement because it is a linear equation with one variable y, it represents a straight line.
D. 12-1.8b+ 1.8b = 1.8b is not a true statement, as it seems to be a mathematical manipulation of one side of the equation to the other, but it doesn't seem to make sense mathematically.
E. m8+7(8) = m is not a true statement, as it seems to be a mathematical manipulation of one side of the equation to the other, but it doesn't seem to make sense mathematically.
So the only true statement among the options is C. -8y + 4.3y + 3.7 = 0
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7 - 13a = 27 solve for A
Answer:
a = -20/13
Step-by-step explanation:
7 - 13a = 27
-13a = 20
a = -20/13
Let's check
7 - 13(-20/13) = 27
7 + 260/13 = 27
7 + 20 = 27
27 = 27
So, a = -20/13 is the correct answer!
4 is the slope of a line y - 4x = 0 true or false
it is false but 4 is not y-4x=0
Determine whether the statement is true or false. If false, give a counterexample.
The constant of proportionality in an equation can never be 0.
Answer:
Step-by-step explanation:
Every time an insect jump forward the distance covered is half of previous jump. if the insect initially jumped 8.4cm calculate to the nearest two decimal places distance of sixth jump
The distance that he jumped in the sixth jump nearest to two decimal places will be 0.13.
What is a geometric sequence?Let a₁ be the first term and r be the common ratio.
Then the nth term of the geometric sequence is given as,
aₙ = a₁ · (r)ⁿ⁻¹
Every time an insect jump forward, the distance covered is half of the previous jump. If the insect initially jumped 8.4 cm.
The equation is given as,
aₙ = 8.4 · (1/2)ⁿ⁻¹
The distance that he jumped in the sixth jump will be given as,
a₆ = 8.4 · (1/2)⁶⁻¹
a₆ = 8.4 / 64
a₆ = 0.13125
a₆ ≈ 0.13
The distance that he jumped in the sixth jump nearest to two decimal places will be 0.13.
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Assume the Poisson distribution applies. Use the given mean to find the indicated probability.
Find P(5) when μ = 9
Answer: 0.155
Step-by-step explanation:
To find the probability of a certain event occurring in a Poisson distribution, we can use the formula:
P(k) = (μ^k * e^(-μ)) / k!
Where:
P(k) is the probability of the event occurring k timesμ is the meane is the base of the natural logarithm ( approximately 2.71828)k! is the factorial of k (k factorial)Plugging in the given values, we get:
P(5) = (9^5 * e^(-9)) / 5! = 126,441 * 0.000123 = 0.1550
So the probability of the event occurring 5 times is approximately 15.5%.
Need it ASAP, please!!!
Answer:
27y - 45 + 7z
You deposit $250 in an account that earns simple interest at an annual rate of 2.2%.
How much money is in the account after 4 years?
Answer: $272
Step-by-step explanation: you would multiply 250 * 0.022 = 5.5
then you would multiply 5.5 * 4 = 22 then you would add 22 + 250 = 272
What is the solution to the system of equations?
{x+y=4
{x=y=1
O (3, 1)
O (2, 2)
O (1/2, 3/2)
Answer:
hat are the solution(s) to the system of equations shown below? x2 + y2 = 5 y = 2x. 1) x = 1 and x = −1. 2) x = 1. 3) (1,2)
Step-by-step explanation:
Therefore , the solution of the given problem of linear equation comes out to be (2,2).
A linear equation is defined.A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.
Here,
=> y+ x = 3
=> y= 3-x
=> x= y = 1
=>3-x =1
=> x = 2
=> y = 2
(2,2)
Therefore , the solution of the given problem of linear equation comes out to be (2,2).
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(100 points) Need help asap!
The function f(x) is defined below. What is the end behavior of f(x)?
[tex]f(x)=\frac{1}{9} x^{12}[/tex]
A. as x→−∞,f(x)→−∞ and as x→∞,f(x)→∞
B. as x→−∞,f(x)→−∞ and as x→∞,f(x)→−∞
C. as x→−∞,f(x)→∞ and as x→∞,f(x)→−∞
D. as x→−∞,f(x)→∞ and as x→∞,f(x)→∞
The function f(x) is defined below. What is the end behavior of f(x)?
[tex]f(x)=-\frac{1}{10} x^{18}[/tex]
A. as x→−∞,f(x)→−∞ and as x→∞,f(x)→∞
B. as x→−∞,f(x)→−∞ and as x→∞,f(x)→−∞
C. as x→−∞,f(x)→∞ and as x→∞,f(x)→−∞
D. as x→−∞,f(x)→∞ and as x→∞,f(x)→∞
The end behavior of the function f(x) = 1/9 x¹² is
D. as x→−∞,f(x)→∞ and as x→∞,f(x)→∞The end behavior of the function f(x) = -1/10 x¹⁸ is
B. as x→−∞,f(x)→−∞ and as x→∞,f(x)→−∞What is end behavior?The end behavior of function typically says the characteristics of the function at the ends
How to find the end behavior of functionThe given function is:
f(x) = 1/9 x¹²
The positive exponents will mean that x will always yield positive values hence f(x) is always positive
f(x) = -1/10 x¹⁸
The positive exponents will mean that x will always yield positive values however the negative constant -1/10 will make f(x) always negative hence f(x) is always negative
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3/4 of the children in a school have blue eyes the rest have brown eyes. if 84 children have blue eyes how many have brown eyes?
Answer:
Let the total number of people in the group=x
So total number of men =3x/8
Hence total number of women=5x/8
No. of men having brown eyes=2/3*3x/8=x/4
Total no. of people having brown eyes=3x/4
No.of women having brown eyes
=3x/4 -x/4=2x/4=x/2
No. of women who don't have brown eyes= 5x/8-x/2 = x/8
So the fraction is x/8x= 1/8
Step-by-step explanation:
Answer: 28 children
What is a ratio?A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare the numbers, and you can compare them using division.
First, we would need to figure out the total number of students. To do this, we can divide 84 by 3, then add that to the total.
84 ÷ 3 = 28
28 + 84 = 112
This means that there are 112 students in the classroom.
If 3/4 of the children in the school have blue eyes, we know that 1/4 of the children will have brown eyes. We can convert 1/4 into a decimal, or into a percentage, to get the number of children with brown eyes.
1/4 = 0.25 = 25%
To figure out how much 25% of 112 is, we can simply multiply 112 by 0.25.
112 × 0.25 = 28
So, this means that there are 28 children with blue eyes in the school.
Helpp!! Solve the system by graphing.
-50 POINTS- cmon alr
Answer:
10
Step-by-step explanation:
[tex] \sqrt{26 {}^{2} - 24 {}^{2} }[/tex]
[tex] = \sqrt{676 - 576} [/tex]
[tex] = \sqrt{100} [/tex]
[tex] = 10[/tex]
Answer: 10
Step-by-step explanation: You can use the Pythagorean theorem which is a^2+b^2=c^2. Plug in the numbers that you already have and square them to find the answer, which is 10. Hope this helps! If you need more of an explanation pls let me know ;)
Verify which of the following are identities. 1) 1 + = 4 sec 2) 15 cos = 15 a. Only the first equation is an identity. b. None of the equations are identities. c. Only the second equation is an identity. d. Both the equations are identities. Please select the best answer from the choices provided A B C D
The correct option regarding which of the sentences represents a trigonometric identity is given as follows:
b. None of the equations are identities.
What is a trigonometric identity?A trigonometric identity is a relation that is true for all possible angle measures of [tex]\theta[/tex]
The first relation is given as follows:
[tex]4\cos{\theta}\tan{\theta}\sec{\theta} = 4[/tex]
The tangent and secant equations are given as follows:
tan(x) = sin(x)/cos(x).sec(x) = 1/cos(x).Hence:
4cos(x)tan(x)sec(x) = 4cos(x) x sin(x)/cos(x) x 1/cos(x)
4cos(x)tan(x)sec(x) = 4sin(x)/cos(x)
4cos(x)tan(x)sec(x) = 4tan(x).
Meaning that the first statement is not an identity.
The second relation is given as follows:
[tex]\frac{9\sec^{2}{\theta}}{\cos^{2}{\theta}} - \frac{\tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]
With a single denominator, we have that:
[tex]\frac{9\sec^{2}{\theta} - \tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]
The secant identity is given as follows:
[tex]\sec^2{\theta} = 1 + \tan^2{\theta}[/tex]
Hence:
[tex]\frac{9\sec^{2}{\theta} - \tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]
[tex]\frac{9(1 + \tan^2{\theta}) - \tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]
[tex]\frac{9 + 8\tan^2{\theta}}{\cos^{2}{\theta}} = 2[/tex]
Is also a false statement, hence neither is an identity and option B is correct.
Missing InformationThe statements are given by the image presented at the end of the answer.
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Please screenshot and write the answer on the photo.
1] Answer: y = -[tex]\frac{1}{2}[/tex]x + 3
Step-by-step explanation:
➜ This line is going down from the top left to the bottom right, so it will have a negative slope.
➜ Using rise over run, we get a slope of -2/4. This simplifies to -1/2.
➜ The line intercepts the y-axis at 3.
2] Answer: y = 3x
Step-by-step explanation:
➜ This line is going down from the bottom left to the top right, so it will have a positive slope.
➜ Using rise over run, we get a slope of 3/1. This simplifies to 3.
➜ The line intercepts the y-axis at 0.
3] Answer: y = x - 4
Step-by-step explanation:
➜ This line is going down from the top left to the bottom right, so it will have a negative slope.
➜ Using rise over run, we get a slope of 2/2. This simplifies to 1.
➜ The line intercepts the y-axis at -4.
Which is 70% of 2,000?
A.14
B.70
C.140
D.700
E.1400
Answer:
Option E) 1400
Step-by-step explanation:
Based on the given conditions, formulate: 70‰ x 2000
Convert the percentage to decimals: 0.7 x 2000
Calculate the product or quotient: 1400
Hence , the answer is 1400
what is the cosine of π/3
Please help me I can’t figure it out
The number of times each number divides is 8 divides LCM into 11 times
11 divides into LCM 8 times and 22 divides into LCM 4 times .
What is LCM ?
The smallest positive integer that is divisible by both a and b is known as the least common multiple (lcm), lowest common multiple (lcm), or smallest common multiple of two numbers a and b in mathematics and number theory.
Least Common Multiple is a mathematical term. The smallest number that is a multiple of both of two numbers is called the least common multiple.
In mathematics, the least common multiple is sometimes referred to as LCM or the lowest common multiple. The smallest number among all the common multiples of the provided numbers is the least common multiple of two or more numbers.
The LCM of 8 , 11 and 22 is 88
∴ 8 divides into LCM 11 times
11 divides into LCM 8 times
22 divides into LCM 4 times
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-√8 - √54 + 2√6 how to simplify
Answer:
6√2
Step-by-step explanation:
-√2×2×2 -√2×3×3×3 + 2√3×3
-2√2 - 3✓6 + 2×3
-2√2 - 3√2×2 +2 + 6
6√2
Write the number 4,207 in expanded form
Answer:
That's easy! four thousand two hundred and seven or 4,000+200+7
Step-by-step explanation:
An Item costs $450 Before tax. and the sales tax is $31.50
Find the sales tax rate. Write your answer as a percentage
The tax rate of an Item that costs $450 Before tax. and the sales tax is $31.50 is 7%
What is tax rate?The tax rate is the percentage of an income or an amount of money that has to be paid as tax.
To find the tax rate of $31.50 from $450
The formula is
Amount taxed/Principal amount x 100
= $31.50/$450 x100
=$3150/450
=7%
Hence, the tax rate is 7%
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Katerina needs 200 balloons fillied with helium for a party. She knows that each balloon will need 0.7ft^3 of helium. the helium canisters hold 0.20m^3. 1m^3 = 35ft^3. How many Canisters will Katerina need to buy?
=======================================================
Explanation:
1 balloon = 0.7 ft^3 of helium
200 balloons = 200*0.7 = 140 ft^3 of helium
Katerina needs 140 cubic feet of helium to fill all 200 balloons.
---------------
1m^3 = 35ft^3 which is approximate
0.2 m^3 = 0.2*35 = 7 ft^3
Each canister holds approximately 7 cubic feet of helium.
----------------
To summarize so far.
Katerina needs 140 cubic feet of helium.Each canister holds approximately 7 cubic feet of helium.Let x be the number of canisters. Because of fact 2 mentioned above, 7x represents the total amount of helium from all of the x number of canisters.
Set this equal to the amount she needs (140) and solve for x.
7x = 140
x = 140/7
x = 20
Katerina needs 20 canisters.