The equation given is y = 641,000 - 1800x, where y represents the value of the building in dollars and x represents the number of months. After 138 months, the value of the building will be $392,600.
To find the value of x, we can set the equation equal to $392,600 and solve for x:
641,000 - 1800x = 392,600
First, let's isolate the term with x by subtracting 392,600 from both sides:
641,000 - 392,600 - 1800x = 0
Next, simplify the left side of the equation:
248,400 - 1800x = 0
Now, we can isolate the x-term by subtracting 248,400 from both sides:
-1800x = -248,400
To solve for x, divide both sides by -1800:
x = -248,400 / -1800
Simplifying the expression, we get:
x = 138
Therefore, after 138 months, the value of the building will be $392,600.
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my child is an elementary school student I don't see that option under graded subjects is this not for elementary School students??
To know which girl ate the most, we have to compare the two fractions.
To be able to compare the fractions, we can:
1.- We convert to decimal numbers.
2.- We modify the fractions such that both fractions have the same denominator.
To compare the fraction we will change them in a way that both have the same denominator.
Recall that a fraction represents the same number if we multiply it and divide it by the same number.
Notice that:
\(\frac{3}{6}=\frac{3}{6}\times\frac{8}{8}=\frac{24}{48},\)\(\frac{4}{8}=\frac{4}{8}\times\frac{6}{6}=\frac{24}{48}\text{.}\)Since both fractions are the same, we can conclude that both girls ate the same amount.
Answer: 3/6 is equal to 4/8.
Both girls ate the same amount
In a systematic random sample of size n drawn from a population of size N, how many random numbers need to be generated to identify those subjects who are included in the sample
A systematic random sample is obtained by choosing a random starting point and then selecting every kth individual from a population to participate in the study. The number of random numbers that must be produced to recognize individuals who are part of the sample is determined by the following formula:n/k is the number of random numbers required to identify the sample population of size n drawn from a population of size N by systematic random sampling.
To provide an example, consider a population of size N= 1000 and a sample of size n= 50. Assume that we must use systematic random sampling with a k=20. The population should be numbered, and the first random number between 1 and 20 is selected. The kth person after the first random number is chosen. This process is repeated for the entire population, with every kth person included in the sample. The number of random numbers generated would be 1000/20= 50. Therefore, to obtain a sample of 50 individuals, we must generate 50 random numbers to recognize each individual who will be included in the sample.
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Solve for x! , Please answer!!
If you can please show the explanation <3
Have a good day!
Answer:
Value of x = -7
Step-by-step explanation:
Given:
First angle = 83°
Second angle = 24°
Third angle = (38 - 5x)°
Find:
Value of x
Computation:
We know that sum of all interior angle in triangle is 180°
So,
83 + 24 + 38 - 5x = 180
145 - 5x = 180
-5x = 35
x = -7
Value of x = -7
what is the eqausion for 45 to 78
Answer:
23?
Step-by-step explanation:
78 minus 45 equals 23
This is the only reasonable answer I can decipher from your question.
The ______ and ______ of a triangle are called elements of a triangle.
Answer:
The side and the Angle
Step-by-step explanation:
The side and Angle of a triangle are called elements of a triangle.
when using the graphical method, the region that satisfies all of the constraints of a linear programming problem is called the:
When using the graphical method in linear programming, the region that satisfies all of the constraints of the problem is called the feasible region.
The feasible region represents the set of all possible solutions that meet the given constraints of the linear programming problem. It is determined by graphing the constraints as inequalities on a coordinate plane and identifying the overlapping region where all the constraints are simultaneously satisfied. This region is bounded by the lines corresponding to the constraints and may take the form of a polygon, a line segment, or a single point, depending on the problem.
The feasible region is crucial in linear programming as the optimal solution, which maximizes or minimizes the objective function, must lie within this region. By analyzing the feasible region and evaluating the objective function at different points within it, the optimal solution can be determined.
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find the mean of the following group of numbers: 6.1, 5.9, 4.2, 5.9, and 10.7. round your answer to the nearest tenth. responses 4.2 4.2 10.7 10.7 6.6 6.6 6.5
The mean of the given set of group numbers is 6.6
Given,
In the question:
The Group of numbers are as follows:
6.1, 5.9, 4.2, 5.9 and 10.7
To find the mean of the given set of group of numbers.
Now, According to the question:
Given is the following data:
6.1, 5.9, 4.2, 5.9 and 10.7
We can find the mean of the given set of data using the formula-
Mean (M) = Σ a[i]/n = (Sum of all the elements)/(total number of elements)
Now, n = 5
and Σ a[i] = 6.1 + 5.9 + 4.2+ 5.9 + 10.7 = 32.8
Putting the values in the formula, we get:
M = 32.8/5 = 6.56 = 6.6
Hence, The mean of the given set of group numbers is 6.6
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A professor has 125 students in her classes at the beginning of the semester, but 16 students withdraw from her classes before Test #3. If she has 1 classes in total and each class has an equal number of students, how many students are in each class? Round your answer to the nearest ones (i.e., one student).
Answer:
Students in her classes At the beginning of the semester, but 13 students withdraw from her classes before Test three. So now she has 150 students. If she has one classes in total, in each class has an equal number of students. How many students are in each class round your answer to the nearest ones? Well, first of all, if she only has one class, then there's 150 students in that class is or class, this is the middle school math teacher signing out.
lazyuser30
Using a ruler and a protractor, make an accurate drawing of the triangle shown below. Measure length c in your drawing. Give your answer to 1 d.p. C 9 cm 8 cm 20° Not drawn accurately
The Pythagorean theorem is used to determine the length of side c = 12.12cm
How do you use the Pythagorean theorem to solve?According to the Pythagorean theorem, the square of the length of the hypotenuse in a right triangle equals the sum of the squares of the lengths of the other two sides. The hypotenuse is the side that faces the right angle. Consequently, in this instance, c2 = a2 + b2.
given are 20°, 8 cm, and 9 cm.
To determine c's length
replacing the specified values: c^2 = 8^2 + 9^2
c = √(8^2 + 9^2) = √(64 + 81) = √(145)\sc = 12.12 cm
Therefore, side C is 12.12 cm long.
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Answer:
tell me the answer hello tell ne
Find the sum or difference
Answer:dd and subtract the remaining numbers in the math problem. The sum will be the result of adding numbers, while the difference will be the result of subtracting them. For instance, in the math problem 4 + 3 - 5, the sum of 4 and 3 will be 7, and the difference between 7 and 5 will be 2.
Step-by-step explanation:
Review the following problem and answer the questions that follow.
Answer:
1) 2 should be added with 12 only and not with 6x as 6x and 2 are not like terms.
2) When adding polynomials, You should add only like terms.
Step-by-step explanation:
The steps done are:
Step 1: y-2=6x+12
Step 2: Add 2 on both sides
y-2+2=6x+12+2
Answer : y=8x+14
1) What mistake did I made?
You made a mistake in step 2,
When adding polynomials, you add only like terms. i.e
y-2+2=6x+12+2
y=6x+14
2 should be added with 12 only and not with 6x as 6x and 2 are not like terms.
2) Suggestion to avoid Such mistake in the future.
When adding polynomials, You should add only like terms.
Like terms are those that have same degree of variables i,e
2x and 3x, 2x^2 and 3x^2, 2 and 3 they all are like terms.
You can add 2x and 3x but can't add 2x and 2x^2 as they are not like terms.
So, while solving polynomials always add like terms.
Simplify 6-2x + 5+4x
Answer:
2x + 11
Step-by-step explanation:
We are given
6 - 2x + 5 + 4x
Combining like terms with x, we have
6 + 5 + 2x
Combine like terms again, this time constants
11 + 2x
Georg Cantor Accounting purchased a new computer system for $3,500. The total
resale value after 5 years is estimated to be $525. Using the straight-line method,
Cantor Accounting determined that the computer system would depreciate $595
per year. Use the table above to determine the book value at the end of the third
year.
Possible answers.
(A) $1,690
(B) $1,715
(C) $1,865
(D) $1,940
The book value at the end of the third year is (A) $1,690.
What is depreciation?The depreciation of an asset is the difference between the cost of the asset and the estimated resale value at the end of its useful life.
The straight-line method of depreciation is used to calculate the annual depreciation of an asset.
In this case, the computer system cost $3,500 and was estimated to have a resale value of $525 after five years.
This means that the computer system will depreciate $595 each year.
To calculate the book value at the end of the third year, subtract the depreciation for the first three years from the cost of the asset:
Cost of Computer System: $3,500
Annual Depreciation: -$595
Book Value at End of 3rd Year= $3,500 - ($595 x 3) = $1,690
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According to the data given in the question, the book value at the end of the third year is (A) $1,690.
What is depreciation?The depreciation of an asset is the difference between the cost of the asset and the estimated resale value at the end of its useful life.
The straight-line method of depreciation is used to calculate the annual depreciation of an asset.
In this case,
the computer system cost= $3,500
estimated resale value after five years= $525
depreciation of the computer system each year= $595
To calculate the book value at the end of the third year, subtract the depreciation for the first three years from the cost of the asset:
Cost of Computer System: $3,500
Annual Depreciation: $595
Book Value at End of 3rd Year
= $3,500 - ($595 x 3)
= $1,690
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Find values of x and y from photo
Answer:
x= 15 y= 21
Step-by-step explanation:
(4y-18) +(y+14) + (6x-11) = 6x+5y-15 = 180
6x+5y = 195 (1)
(6x-11) + (x+5) + 81 = 7x + 75 = 180
7x = 105
x = 15
6*15 + 5y = 195
5y = 105
y = 21
Room A is cleaned every 9 days. Room B is cleaned every 6 days. What is the fewest number of days that will pass before both rooms are cleaned again on the same day?
Answer:
on the 18th day
Step-by-step explanation:
LCM for 6 and 9 is 18 :)
test the null hypothesis: h0:(μ1−μ2)=0 versus the alternative hypothesis: ha:(μ1−μ2)≠0. using α=0.04, give the following: The test statistic Z ____
since the population standard deviations (σ1 and σ2) are not provided, we cannot calculate the exact test statistic Z.
To test the null hypothesis H0: (μ1 - μ2) = 0 versus the alternative hypothesis Ha: (μ1 - μ2) ≠ 0, we can use a two-sample z-test. The test statistic is calculated as:
Z = (x bar1 - x bar2) / sqrt((σ1^2 / n1) + (σ2^2 / n2))
Where:
X bar1 and x bar2 are the sample means of the two groups,
σ1 and σ2 are the population standard deviations of the two groups,
n1 and n2 are the sample sizes of the two groups.
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if the store has only 12 red balloons and only 8 blue balloons but at least 30 of each other color of balloon, how many combinations of balloons can be chosen?
there are 117 different combinations of red and blue balloons that can be chosen from the store. Combinations describe the various ways that a group of objects can be chosen without taking into account their sequence.
A combination is a choice of elements from a bigger set where the order in which they are chosen is irrelevant. let's find out the possible combinations of red and blue balloons that can be chosen.
1. First, we'll calculate the number of combinations for red balloons. Since there are 12 red balloons, we can choose from 0 to 12 red balloons. That's 13 possible choices for red balloons.
2. Next, we'll calculate the number of combinations for blue balloons. Since there are 8 blue balloons, we can choose from 0 to 8 blue balloons. That's 9 possible choices for blue balloons.
3. Now, we'll multiply the number of choices for red balloons by the number of choices for blue balloons. This will give us the total number of combinations for red and blue balloons.
13 choices (red) x 9 choices (blue) = 117 combinations
So, there are 117 different combinations of red and blue balloons that can be chosen from the store.
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Question 38.
Write the first six terms of the arithmetic sequence with the first term, a1 = 240, and common difference, d= 24.
The first six terms are a1 = ,a3= , a4= ,a5= , and a6= .
\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)
NEED ANSWER ASAP WILL GIVE 40 POINTS
-6≥ 10-8x
Answer:
x≥2
Step-by-step explanation:
-16≥ -8x
x≥2
What is the value of x-9 = -5
Answer:
\(\boxed {x = 4}\)
Step-by-step explanation:
Solve for the value of \(x\):
\(x - 9 = -5\)
-Add both sides by \(9\):
\(x - 9 + 9 = -5 + 9\)
\(\boxed {x = 4}\)
So, the value of \(x\) is \(4\).
U is the midpoint of TV. If TU = x - 6 and TV = 3x – 23, what is TU?
Answer:
TU = 5
Step-by-step explanation:
Since, U is the midpoint of TV.
\(\therefore TV = 2 \times TU \\ 3x - 23 = 2(x - 6) \\ 3x - 23 = 2x - 12 \\ 3x - 2x = 23 - 12 \\ x = 11 \\ \\ TU = x - 6 \\ TU = 11 - 6 \\ \huge \red { \boxed{TU = 5}}\)
⚠️Pythagorean Theorem⚠️
‼️Urgent Help‼️
what is the y and x intercept of 5x-7y= -8
SOLUTION
Write out the equation given
\(5x-7y=-8\)To find y-intercept, we replace x with 0, hence
\(\begin{gathered} \text{for x=0} \\ 5(0)-7y=-8 \\ -7y=-8 \\ \text{Divide both sides by -7} \\ -\frac{7y}{-7}=-\frac{8}{-7} \\ \text{Hence } \\ y=\frac{8}{7} \\ \end{gathered}\)Hence
Y - intercept is ( 0, 8/7 )
Similarly, for x-intercept, we replace y with 0 and find x
\(\begin{gathered} \text{for y=0} \\ 5x-7(0)=-8 \\ \text{Hence } \\ 5x=-8 \\ \text{Divide both sides by 5, } \\ \frac{5x}{5}=-\frac{8}{5} \\ \text{Hence } \\ x=-\frac{8}{5} \end{gathered}\)Hence
x- intercept is ( - 8/5 , 0 )
Find a polynomial function of degree 3 such that f(0)=17 and the square root of f(x) are 0,5 and 8
Answer:
f(x)=x^3 - 13x^2 + 40x + 17
Step-by-step explanation:
x-0=0 x-5=0 x-8=0
x=0 x=5 x=8
y=x(x-5)(x-8)+b ==> b is what's going to be used to find the equation so that
y=17 when x=0
17=0(0-5)(0-8)+b ==> plugin 0 for x and 17 for y
17=0*(-5)*(-8)+b ==> simplify
17=0+b ==> anything multiplied by 0 is 0.
b=17
Hence, the equation is:
y=x(x-5)(x-8)+17 ==> expand this equation
y=x*(x-5)(x-8) + 17
y=x*(x(x - 8) - 5(x - 8)) + 17 ==> distribute x-8 to x and -5
y=x*(x*x - 8x - 5x - (8)(-5)) + 17 ==> distribution property
y=x*(x^2 - 13x - (-40)) + 17 ==> simplify
y=x*(x^2 - 13x + 40) + 17 ==> subtracting a negative number is equivalent to
adding a positive number
y=x^3 - 13x^2 + 40x + 17 ==> multiply x with x^2, 13x, and 40 using the
distribution property.
Answer: f(x)=x^3 - 13x^2 + 40x + 17
Answer: Okay, lets explain.
Step-by-step explanation:Since 0, 5 & 8 are given as the zeros of the required 3rd degree polynomial f(x), therefore, one may take it as ; f(x) =k (x-0)(x-5)(x-8)
= k(x³−13x²+40) …. .. .(1) . Since f(10) = 17 (given), it implies 17 = k(1000 -1300 + 400) = 100 ==> k = 17/100 = 0.17 . Put this value of k in eq(1) and get the required polynomial.
A farmer bought a number of pigs for $168. However, 7 of them died before he could sell the rest at a profit of 5 per pig. His total profit was $36. How many pigs did he originally buy?
Answer:
15$
Step-by-step explanation:
PLEASE HELP!! WILL GIVE BRAIN AND FIVE STARS
:\(\implies\) perimeter (∆HFM) = HM+FM+HF
:\(\implies\) 51 = 2x+5+x+8+3x+2
:\(\implies\) 51 = 6x+15
:\(\implies\) 36 = 6x
:\(\implies\) x = 6 units.
in ∆HFM,
HM = 2x+5 = 2(6)+5 = 12+5 = 17units FM = X+8 = 6+8 = 14 units HF = 3x+2 = 3(6)+2 = 20 unitsin ∆KFM,
FM = 14 units KF = 4x-3 = 4(6)-3 = 21 units MK = 3x-1 = 3(6)-1 = 17 unitsSince, all the sides of one triangle does not correspond to the other, these traingles are not congruent.
Hope it helps ⭐⭐⭐It costs $0.50 to buy 1/3 lb of pears. What is the unit rate for the cost per pound.
The unit cost of pears is $1.50 per pound.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Cost for 1/3 lb of pears = $0.50
Since, 1 lb = 1 pound
Implies that,
Cost of 1/3 pounds of pears = $0.50
To find the cost of one pound of pears,
Use ratio property,
1/3 pound costs = 0.50
1 pound costs = 0.50 x 3 = $1.50
The cost of one pound of pear is $1,.50.
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pls say the right answer
The completed table showing the features of different metals and non-metals has been attached as image.
Explanation of Features- Sonorous: Metals like iron and copper are sonorous, meaning they produce a ringing sound when struck. Non-metals like phosphorus and sulphur are not sonorous.
- Ductile/Malleable: Metals such as iron, copper, and aluminium are ductile and malleable, which means they can be stretched into wires (ductile) and hammered into thin sheets (malleable). Non-metals like phosphorus and sulphur are not ductile or malleable.
- Conducts Electricity: Metals, including iron, copper, aluminium, and gold, are good conductors of electricity. They allow electric current to flow through them. Non-metals like phosphorus and sulphur are poor conductors of electricity.
- Lustre: Metals exhibit a characteristic metallic lustre, reflecting light and appearing shiny. Non-metals like phosphorus and sulphur do not have a metallic lustre.
- Brittle: Metals such as iron, copper, and gold are not brittle and can withstand deformation without breaking easily. Non-metals like phosphorus and sulphur are brittle, meaning they are prone to breaking or shattering when subjected to stress.
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la factorizacion de x2 -8x + 15
Planes the fly at high speeds and low elevations have radar systems that can determine the range of an obstacle and the angle of elevation to the top of the obstacle. The radar of a plane flying at an altitude of 20,000 feet detects a tower that is 25,000 feet away, with an angle of elevation of 1∘. a. How many feet must the plane rise to pass over the tower? The plane must rise at least feet to pass over the tower. Question 2 b. Planes cannot come closer than 1000 feet vertically to any object. At what altitude must the plane fly in order to pass over the tower? The plane must fly at an altitude of at least feet to pass over the tower.
a) The plane must descend about 19,860.58 feet to pass over the tower. b) To fly 1000 feet above the tower, the plane must fly at an altitude of 1139.42 feet.
a) To find the height of the tower, we can use the tangent function in trigonometry.
Let's call the height of the tower "h".
We know that:
tan(1°) = h / 25000
Solving for h, we get:
h = 25000 * tan(1°)
Using a calculator, we find that:
h ≈ 139.42 feet
So the tower is about 139.42 feet tall.
To pass over the tower, the plane must rise an additional 139.42 - 20,000 = -19,860.58 feet.
That is, the plane must descend about 19,860.58 feet to pass over the tower.
b) To fly 1000 feet above the tower,
The plane must fly at an altitude of 139.42 + 1000 = 1139.42 feet.
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