Answer: there are 13 rows of seats in the theater.
Step-by-step explanation: Concurring to the issue, the number of lines is 3 less than the number of seats in each push. So, the number of lines can be communicated as "x - 3".
We know that the theater can situate 208 individuals, so the entire number of seats can be communicated as "x times (x - 3)".
Hence, we are able type in the condition as:
x(x - 3) = 208
Expanding the condition, we get:
x^2 - 3x - 208 =
Presently, ready to unravel this quadratic condition to discover the esteem of "x" which speaks to the number of seats in each push:
Utilizing the quadratic equation:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 1, b = -3, and c = -208
x = (-(-3) ± sqrt((-3)^2 - 4(1)(-208))) / 2(1)
x = (3 ± sqrt(841)) / 2
x = (3 ± 29) / 2
Ready to disregard the negative arrangement, so:
x = (3 + 29) / 2
x = 16
Hence, the number of seats in each push is 16.
And, the number of columns can be communicated as "x - 3":
Number of columns = 16 - 3 = 13
A bag contains 2 gold marbles, 10 silver marbles, and 29 black marbles. The rules of the game are as follows: You randomly select one marble from the bag. If it is gold, you win $6, if it is silver, you win $4. If it costs $1 to play, what is your expected profit or loss if you play this game?
Answer:
33 thats with the 1 dollar subtracted for the entry fee
Step-by-step explanation:
first you add all the number of marbles you have then you get 41 then divide it by 12 because you have 2 gold and 10 silver and you get 3.4 and multiply that by 10 because its 6 and 4 and you get 34 subtract the entry fee
Spring Basketball Tournament Expenses and Income Guidelines:
1. A permit for the event is required and costs $75.60. It takes 8 hours to run a tournament for 8 teams.
2. Each player will be charged a $32 entry fee.
3. There will be exactly 8 players on each team.
4. The rent for a gym in a high school is $62.50 an hour.
5. A caretaker must be present for a Saturday permit and earns $56 an hour.
** List below all income and expenses created from this tournament **
The total expenses of the tournament are $1,023.60 and the total income is $2,048. The solution has been obtained by using the arithmetic operations.
What are arithmetic operations?
With the help of the four fundamental operations, often known as "arithmetic operations," any real number may be explained. Operations like quotient, product, sum, and difference come last in mathematics, while operations like division, multiplication, addition, and subtraction come first.
From the information given in the question, we have
⇒ Expenses include:
Permit for the event costing $75.60
Rent of the Gym for 8 hours = $62.50 x 8 = $500
Cost of caretaker for 8 hours on a Saturday = $56 x 8 = $448
Now, using the addition operation, we get
Total expenses = $75.60 + $500 + $448
Total expenses = $1,023.60
Similarly, using multiplication operation, we have
⇒ Income including
Entry fee per player = $32 x 8 = $256 per team
Income from 8 teams = $256 x 8 = $2,048
So,
Total income = $2,048
Hence, the total expenses of the tournament are $1,023.60 and the total income is $2,048.
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The number is between 3,000 and 8,000.
The number is odd.
The digit in the one's place is the largest digit in our number system.
Two of the digits in the number are the same digit.
The difference between the hundred's digit and ten’s digit is zero.
The digit in the thousand's place is four less than the one's place.
The number is divisible by nine.
Finally, the number is divisible by 9 because the sum of its digits is 27, which is a multiple of 9 is 7,983.
What is number?In mathematics, a number is a quantity or value used to represent a quantity or a position in a sequence. Numbers are used to quantify things and to perform mathematical operations such as addition, subtraction, multiplication, and division. There are many different types of numbers, including natural numbers (1, 2, 3...), integers (..., -2, -1, 0, 1, 2, ...), rational numbers (numbers that can be expressed as a ratio of two integers), irrational numbers (numbers that cannot be expressed as a ratio of two integers), and real numbers (all rational and irrational numbers). Numbers can also be classified as positive, negative, or zero. Positive numbers are greater than zero, negative numbers are less than zero, and zero represents a neutral or null value. Numbers are used extensively in many fields of study, including science, engineering, economics, and statistics. They are used to quantify measurements, represent data, and make predictions based on patterns and relationships.
Here.
It is odd and between 3,000 and 8,000.
The largest digit in our number system is 9, which is in the one's place.
Two of the digits in the number are the same digit, which is 8 in the thousand's and ten's place.
The hundred's digit and ten's digit are both 8, so the difference is zero.
The digit in the thousand's place is 4 less than the one's place, which is 5.
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2. Lee has a catering company. His staff is making pies for an event. He needs to make sure all the 123
pies have the correct filling: strawberry, rhubarb or cherry. The pies can have 1, 2 or 3 of the different
fillings and all pies have at least one of these three. He writes down the following information as he looks
them all over.
68 pies have cherries
73 pies have strawberries
30 pies have rhubarb and cherries
●
23 pies have rhubarb and strawberries
12 pies have only strawberry and cherry
828
14 pies have all three fillings
A101
Lee finishes writing his notes and all 123 pies are accounted for and ready to go to the event. How many
pies have only rhubarb in them?
DERE
810
d
If Lee has a catering company. His staff is making pies for an event. there are 41 pies that have only rhubarb filling.
How many pies have only rhubarb in them?To find the number of pies that have only rhubarb filling, we need to subtract the pies that have rhubarb filling and another filling(s) from the total number of pies that have rhubarb filling.
We can use the given information to create a Venn diagram to visualize the relationships between the different fillings:
_______________
/ (3) \
/______ 14 ______\
/ / \ \
/ (1) / (5) \ (2) \
/_____/_______ \______\
/ \ \
/ (4) \______\
(1) represents the number of pies that have only cherry filling,
(2) represents the number of pies that have only strawberry filling,
(3) represents the number of pies that have only rhubarb filling,
(4) represents the number of pies that have cherry and strawberry filling, but not rhubarb filling,
(5) represents the number of pies that have rhubarb and strawberry filling, but not cherry filling.
We can use the given information to fill in the values in the Venn diagram:
68 pies have cherry filling (1) + (4) + (6) + (7) + (8) + (9) + (10) + (14) = 68
73 pies have strawberry filling (2) + (4) + (5) + (7) + (8) + (9) + (10) + (14) = 73
30 pies have rhubarb and cherry filling (6) + (7) + (10) + (14) = 30
23 pies have rhubarb and strawberry filling (5) + (7) + (9) + (10) + (14) = 23
12 pies have only strawberry and cherry filling (7) = 12
14 pies have all three fillings (14) = 14
To find the number of pies that have only rhubarb filling, we can start by adding up the pies that have rhubarb filling and no other fillings: (3) + (6) + (9) + (10).
(3) is already the number of pies that have only rhubarb filling. For the other three regions, we need to use the values in the Venn diagram to calculate the number of pies with the given combinations of fillings:
(6) is the number of pies that have both rhubarb and cherry fillings, but not strawberry filling. Therefore, the number of pies that have rhubarb and no other fillings is 30 - 6 = 24.(9) is the number of pies that have both rhubarb and strawberry fillings, but not cherry filling. Therefore, the number of pies that have rhubarb and no other fillings is 23 - 9 = 14.(10) is the number of pies that have all three fillings, so they do not have only rhubarb filling.Adding up the number of pies that have only rhubarb filling from each region, we get:
Number of pies that have only rhubarb filling = (3) + (24) + (14) + (0) = 41.
Therefore, there are 41 pies that have only rhubarb filling.
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The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
15,9, 27/5
Find the 10th Term
Therefore , the solution of the given problem of sequence comes out to be the sequence's roughly 10th term is 0.049 (rounded to the closest thousandth).
What is sequence?A sequence is a grouping of range numbers, or "terms." There are phrases like 2, 5, but choose 8. Certain narrative arcs can be made to go on forever by choosing to capitalise on a certain pattern that they exhibit. Use the designs 2, 5, 8, and then 3 to lengthen it. In a list of words for words, there exist formulas that show where to look. In mathematics, a sequence is a group of items that are ordered in some way.
Here,
The first three terms in the given sequence are 15, 9, and 27/5.
We must determine the pattern or rule that underlies the sequence in order to determine the tenth word.
=> 9 = 15 * (27/5) / 15
=> 27/5 = 9 * (27/5) / 9
Thus, each term is obtained by multiplying the constant value by (27/5) / 15, which may be written as 9/25.
In order to get the next phrase in the series, we can keep multiplying the preceding term by 9/25 using this constant value:
=> 9 * (9/25)⁷
When we compute this expression, we obtain:
=> (Rounded to the closest thousandth) 9 * (9/25)⁷
As a result, the sequence's roughly 10th term is 0.049 (rounded to the closest thousandth).
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Determine the equation of the circle with center (-7, -4) containing the point
(-1,-8).
Answer:
(-1, -8) is:(x + 7)^2 + (y + 4)^2 = 52
Step-by-step explanation:
i literally just learned this today so here we go:
The equation of a circle with center (h, k) and radius r is given by:
(x - h)^2 + (y - k)^2 = r^2
We are given the center of the circle as (-7, -4), so we can substitute these values for h and k:
(x - (-7))^2 + (y - (-4))^2 = r^2
(x + 7)^2 + (y + 4)^2 = r^2
We also know that the circle contains the point (-1, -8).
We can substitute these values for x and y, and solve for r:
(-1 + 7)^2 + (-8 + 4)^2 = r^2
36 + 16 = r^2
r^2 = 52
Substituting this value of r^2 into the equation for the circle, we get:
(x + 7)^2 + (y + 4)^2 = 52
Therefore, the equation of the circle with center (-7, -4) containing the point (-1, -8) is:(x + 7)^2 + (y + 4)^2 = 52
Consider the given density curve.
What is the value of the median?
O-10
O-7
O-6
O-2
Note that the median of the distribution or the density curve is -6. (Option C)
What is the explanation for the above response?If the curve is a straight line and the area under the curve appears to be a rectangle, then we can assume that the density curve is a uniform distribution. In this case, the median of the distribution is simply the midpoint of the interval, which would be
(-10 + (-2))/2
= -6.
A density curve is a mathematical model used to describe the overall pattern of a dataset. It is a smooth curve that approximates the distribution of the data and shows the relative frequencies of observations at different values.
The area under the curve represents the total proportion of observations in the dataset, and the curve is normalized such that the total area under the curve equals one. Density curves are used in statistics to analyze and interpret data, and can be used to make predictions about future observations.
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Help please i dont know
The histogram should be modified as follows:
The bin from 6 to 15 should be increased by 2.The bin from 16 to 25 should be increased by one.The bin from 26 to 35 should be increased by one.The bin from 46 to 55 should be increased by one.What is shown by an histogram?A histogram is a type of graphical representation that displays the distribution of a dataset. It is a bar graph-like chart where the data is divided into intervals, called "bins", which are represented by adjacent rectangular bars of varying heights.
Then the height of the histogram gives the number of observations into each data interval.
Hence the histogram should be modified as follows:
The bin from 6 to 15 should be increased by 2. -> two measures of 12.The bin from 16 to 25 should be increased by one. -> measure of 16.The bin from 26 to 35 should be increased by one. -> measure of 26.The bin from 46 to 55 should be increased by one. -> measure of 48.More can be learned about histograms at https://brainly.com/question/25983327
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Which equation represents the volume of the cone shown below, in cubic centimeters?
OV=80 x 150 x
OV=××80² x 150
OV=××80² × 170
OV=80 x 150 x 170 x *
170 cm
-80 cm
150 cm
please help me with this!!!! help!!! I need the answer! Find the area and permeter of the triangle
Answer: Area 6 Perimeter 12
Step-by-step explanation:
First, you have to find the perimeter. 4+5+3=12. Then, you need to find the area, which is base*height/2. The base is 3 and the height is 4. 4*3=12. Then you need to do 12/2=6. The area is 6
Answer:
The answer for P=12cm,A=6cm²
Step-by-step explanation:
Perimeter of triangle=a+b+c
P=5+3+4
P=12cm
Area of triangle =1/2bh
A=1/2×3×4
A=2×3
A=6cm²
As seen in the diagram below, Austin is building a walkway with a width of x feet to go around a swimming pool that measures 8 feet by 10 feet. If the total area of the pool and the walkway will be 360 square feet, how wide should the walkway be?
Using the total area of the rectangular pool we know that the required width of the pathway is 3.6 ft respectively.
What is a rectangle?In the Euclidean plane, a rectangle is a quadrilateral with four right angles.
A parallelogram with a right angle or an equiangular quadrilateral, where equiangular means that all of its angles are equal, are other ways to define it.
A rectangle with four equal-length sides is a square.
Squares are not always rectangles, but rectangles are always squares.
So, the pool and walkway together have a 360 square foot total space.
Assume that the walkway is w feet in width.
Since the pool has an additional w feet of width on both sides, the total area's measurements can be expressed as (8 + 2w) by (10 + 2w).
Thus, we can construct the following equation:
(8 + 2w) x (10 + 2w) = 360
By enlarging and condensing the left side, we obtain:
4w² + 36w - 80 = 0
Using the quadratic formula, we can find w:
w = (-b ± √(b² - 4ac)) / 2a
Here, an equals 4, b equals 36, and c equals -80. When these values are added to the formula, we obtain:
w = (-36 ± √(36² - 4(4)(-80))) / 8
w = (-36 ± √(1872)) / 8
w ≈ -5.6 or w ≈ 3.6
We can ignore the first option because the width cannot be negative. Consequently, the pathway should be around 3.6 feet wide.
Therefore, using the total area of the rectangular pool we know that the required width of the pathway is 3.6 ft respectively.
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Complete the flow chart proof
The flow chart is complete and the answers are given below.
What is meaning of Congruent Figures?Those figures that have same shape and size are called Congruent Figures.
The flow diagram will be completed as follows
∠2 ≅ ∠4 ( vertical angle theorem )
∠1 ≅ ∠2 ( Given )
∠1 ≅ ∠ 3 ( Vertical Angle Theorem)
∠3 ≅ ∠4 ( Transitive Property of congruence)
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Help me on my math question pls!
Answer:
D
Step-by-step explanation:
A rotation and translation preserves the length measures of the sides, so FD is equal to 7 inches
Answer: D
Step-by-step explanation:
Help corrections due in 3 hours! giving 25 points and brainlist
The value of GH in the right angle triangle, given FH and Angle FHG is 22.46 inches.
How to find the value of GH ?Since we have the adjacent side (FH) and want to find the hypotenuse (GH), we can use the cosine function.
cos(35°) = adjacent side (FH) / hypotenuse (GH)
We know that FH = 18.4 in. So, we can write the equation as:
cos(35°) = 18.4 / GH
GH = 18.4 / cos(35°)
GH = 18.4 / 0.81915
= 22.46 inches
So, the length of GH, the hypotenuse, is approximately 22.46 inches.
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A hamster running in a wheel of radius 10 cm spins the wheel one revolution in 5 seconds.
a) What is the angular velocity of the wheel?
b) At what linear velocity is the hamster running?
just need the answer
a) The angular velocity = 0.4π rad/s b) The linear velocity of the hamster = 4π cm/s.
What is linear velocity?Linear velocity is the rate of change of an object's position with respect to time. It measures how fast an object is moving in a straight line, and is often expressed in units of distance per time, such as meters per second or kilometers per hour.
According to given information:a) The angular velocity of the wheel can be calculated as follows:
Angular velocity = (2π * number of revolutions) / time
Here, the wheel completes one revolution in 5 seconds, so the number of revolutions is 1 and the time is 5 seconds. Therefore,
Angular velocity = (2π * 1) / 5
Angular velocity = 0.4π rad/s (or approximately 1.26 rad/s)
b) The linear velocity of the hamster can be calculated as follows:
Linear velocity = radius * angular velocity
Here, the radius of the wheel is 10 cm, and the angular velocity we found in part (a) is 0.4π rad/s. Therefore,
Linear velocity = 10 cm * 0.4π rad/s
Linear velocity = 4π cm/s (or approximately 12.57 cm/s)
So the hamster is running at a linear velocity of approximately 12.57 cm/s.
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complete the equatiotin 3 over 4 x 6 =
PLEASE HELP
Answer:
1/8
Step-by-step explanation:
If "over" refers to (4 * 6) as a whole,
[tex]\frac{3}{4*6}\\\\=\frac{3}{24}\\\\=\frac{1}{8}[/tex]
If "over" refers to division,
[tex]3 \div 4 \times 6\\= 0.75 \times 6\\= 4.5[/tex]
I would suppose it's the first one, so, ignore the second one if you haven't learnt BODMAS yet.
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) Rewrite as an exponential equation.
log8 1/64 =2
(b) Rewrite as a logarithmic equation.
3 0=1
a) the exponential equation equivalent to log8 1/64 = 2 is 1/64 = [tex]8^{(-2)}[/tex]
b) the logarithmic equation equivalent to 3^0 = 1 is log3 1 = 0.
What is exponential equation?
An exponential equation is one in which the exponent contains a variable.
(a) We can rewrite the logarithmic equation as an exponential equation by using the definition of logarithms. The logarithmic equation
log8 1/64 = 2
means that 8 raised to the power of 2 is equal to 1/64:
[tex]8^2 = 1/64[/tex]
Thus, we can write the exponential equation as:
[tex]1/64 = 8^{(-2)}[/tex]
Therefore, the exponential equation equivalent to log8 1/64 = 2 is 1/64 = [tex]8^{(-2)}.[/tex]
(b) We can rewrite the exponential equation as a logarithmic equation by using the definition of logarithms. The exponential equation
[tex]3^0 = 1[/tex]
means that the logarithm of 1 to the base 3 is equal to 0:
log3 1 = 0
Therefore, the logarithmic equation equivalent to 3^0 = 1 is log3 1 = 0.
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An ice cream stand uses the expression 1 + 0.75x to determine the cost (in dollars) of an ice cream cone that has x scoops of ice cream. How much does an ice cream cone with 3 scoops cost?
Answer:
$3.25
Step-by-step explanation:
An ice cream cone that has x scoops of ice cream costs 1 + 0.75x.
So an ice cream cone that has 3 scoops of ice cream costs
1 + 0.75×3 = 3.25 (dollars)
HELP ASAP PLEASE!!!!!!!!!!!!!
The currencies of both Polish Zolty and Australian dollars appreciated from January to March
What is appreciation?Appreciation refers to an increase in the value of a currency in relation to another currency.
This can happen due to various reasons such as a country's strong economic performance, higher interest rates, or an increase in demand for its exports.
Appreciation can have both positive and negative effects on the economy. It can make imports cheaper but exports more expensive, which can impact trade balance. It can also affect inflation, employment, and economic growth.
From the image shown, we can see that the value of the currencies of the countries appreciated to;
Polish Zolty; from $4. 5 to $4. 08
Australian dollar; from $1. 85 to $1. 67
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A patient takes 110 mg of a drug at the same time every day: Just before each tablet is taken, 5% of the drug present in th
preceeding time step remains in the body. What quantity of the drug remains in the body in the long run?
Hint: First find the quantity of drug present in the body after the second tablet, third tablet, etc to generalize the sequenc
formula for the nth tablet. Then use that sequence to predict the drug remains in the long run.
The requried quantity of drug that remains in the body, in the long run, is 220 mg.
Let's denote the amount of drug in the body just before taking the nth tablet by [tex]D_n[/tex]. We know that [tex]D_0 = 0[/tex](since the patient hasn't taken any tablets yet) and that 5% of the drug is present in the body just before taking a tablet remains in the body. Therefore, we can write:
[tex]D_1 = 110\\D_2 = 0.95 * D_1 + 110 = 203.5\\D_3 = 0.95 * D_2 + 110 = 292.225\\D_4 = 0.95 * D_3 + 110 = 376.81375[/tex]
We can see that the formula for [tex]D_n[/tex] is:
[tex]D_n = 110 * (1 - 0.05)^n + 110 * (1 - (1 - 0.05)^n) / 0.05[/tex]
Simplifying this formula, we get:
[tex]D_n = 220 * (1 - 0.95^n)[/tex]
Now, we want to find the amount of drug that remains in the body in the long run. This means we want to find the limit of [tex]D_n[/tex] as n goes to infinity. Using the formula above, we can see that:
[tex]lim_ {n- > oo} D_n = lim_ {n- > oo} 220 * (1 - 0.95^n) = 220[/tex]
Therefore, the quantity of drug that remains in the body, in the long run, is 220 mg.
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Equipment accusers on January 8 at cost of $212,000 has an estimated useful life of 15 years, has an estimated residual value of $14,000, and is depreciated by the straight line method
Answer: To calculate the annual depreciation expense of the equipment using the straight-line method, we need to first determine the depreciable cost of the asset, which is the cost of the asset minus its estimated residual value.
Depreciable Cost = Cost of asset - Estimated Residual Value
Depreciable Cost = $212,000 - $14,000
Depreciable Cost = $198,000
Next, we can use the following formula to calculate the annual depreciation expense:
Annual Depreciation Expense = Depreciable Cost / Useful Life
Annual Depreciation Expense = $198,000 / 15 years
Annual Depreciation Expense = $13,200 per year
Therefore, the annual depreciation expense of the equipment using the straight-line method is $13,200 per year.
Step-by-step explanation:
A factory that has 6 X 10³ workers makes 2.4 X 105 products each day.
What is the average amount of
products made per worker?
In a a case whereby factory that has 6 X 10³ workers makes 2.4 X 105 products each day, the average amount of products made per worker is 4 *10^1 products per worker
How can the average amount of products made per worker can be calculated?The term "average" in mathematics typically refers to a measure of central tendency, which is a way to describe the typical or common value in a set of numbers. There are several types of averages.
We can calculate the required value as
( 2.4 X 10^5 )/ (6 X 10³)
=4 *10^1 products per worker
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using truth table show that (p^q) =~pv~q please help meeee
The truth table for the given expression can be given using p= T q = T, p^q = T, ~p = F, ~q = F, ~q v ~p = T, and (p ^ q) =~p v ~q = T, thus proving the required.
What is propositional logic?The field of symbolic logic known as propositional logic, also referred to as sentential logic or statement logic, is concerned with propositions or statements, which are declarative phrases that can be true or untrue. To represent propositions and their relationships, propositional logic employs symbols and operators.
Many disciplines, including mathematics, computer science, philosophy, and others, employ propositional logic as a tool for debating the truth or falsity of propositions and analysing arguments.
The truth table for the given expression can be given as:
p | q | p ^ q | ~p | ~q | ~q v ~p | (p ^ q) =~p v ~q
-------------------------------------------------------------
T | T | T | F | F | T | T
T | F | F | F | T | T | T
F | T | F | T | F | T | T
F | F | F | T | T | T | T
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¿Qué velocidad requiere una partícula de 6kg para alcanzar una energía cinética de 20 joule?
O a. 2.58 m/S
O b. 0.39 m/s
O c. 6.67 m/s
O d. Ningunas
La velocidad requerida para que una partícula de 6 kg alcance una energía cinética de 20 joule es de aproximadamente 2.58 m/s. La respuesta es A.
Velocidad
La fórmula para calcular la energía cinética es:
E_cinética = 1/2 * m * v^2
Donde m es la masa de la partícula y v es su velocidad.
Dado que la energía cinética y la masa de la partícula son conocidas, podemos despejar la velocidad de la siguiente manera:
20 J = 1/2 * 6 kg * v^2
20 J = 3 kg * v^2
v^2 = 20 J / 3 kg
v = √(20 J / 3 kg)
v ≈ 2.58 m/s
Por lo tanto, la velocidad requerida para que una partícula de 6 kg alcance una energía cinética de 20 joule es de aproximadamente 2.58 m/s. La respuesta es a).
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Solve for x.
A. 7
B. 4
C. 3
D. 5
The correct option -D. 5; Thus, the value of x for the given external secant segment and the tangent on the circle is found as:x = 5.
Explain about the secant of circle:A line that precisely intersects a circle at two points is said to be a secant.
The size of the angle created when two tangents, two secants, or two tangents cross outside of a circle is equal to one-half a positive difference between the sizes of the intercepted arcs.
Using the Theorem:
The square of a length of tangent is equal the the product of such external secant segment and the overall length of the secant if one secant and one tangent both drawn to a circle from a single exterior point:
4(4 + x) = 6²
16 + 4x = 36
4x = 36 - 16
4x = 20
x = 20/4
x = 5
Thus, the value of x for the given external secant segment and the tangent on the circle is found as:x = 5.
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Can someone help me plsssss
Answer:
Tyshawn would have to sell 6 computers on a given day to get paid $225
Step-by-step explanation:
We can use the information in the table to find the equation of the linear relationship between a (the number of computer sales) and p (Tyshawn's total pay):p = 75 + 25aThis equation tells us that Tyshawn's total pay is $75 plus $25 for each computer he sells.To find out how many computers Tyshawn would have to sell in order to get paid $225 on a given day, we can substitute p = 225 into the equation and solve for a:225 = 75 + 25a150 = 25aa = 6
PLEASE HURRY DUE TODAY WILL MARK BRAINLESTIS RIGHT
what is √29 Place a dot on the number line at the BEST approximation
Answer:
5.4
Step-by-step explanation:
square of 29 = 5.385164807
5.385164807 estimated is 5.4
50pts!!!!
Many investors use interest-only loans to buy shares or property. For such loans the principal stays constant and only the interest is paid back each month.
She buys an investment property for $300 000 and borrows the full amount at 7% p.a. simple interest. She rents out the property at $1500 per month and pays $3000 per year in rates and other costs to keep the property.
Find the amount of interest she needs to pay back every month.
Find her yearly income from rent.
By considering the other costs in keeping the property, calculate her overall loss in a year.
she hopes that the property’s value will increase enough to cover any loss she is making. By what percentage of the original price will the property need to increase in value per year?
Step-by-step explanation:
to find the interest she needs to pay back every month, we need to use this formula:
I = PRT/12
in this case the principle is $300,000, the rate is 7% p.a. and the amount of time is 1 year, if we substitute in our values we:
I = (300,000)(7)(1)/12 = $17,500 in interest every month
to find her yearly income from rent, we have to multiply the monthly rent by 12
1500 × 12 = $18,000
to calculate her loss percentage in a year, we have to subtract 18,000 from 3000 which is 15,000
she said that she hopes the property's value will increase to cover the loss she made.
to cover the loss of $15000 per year, the property needs to increase in value by at least $15000. the percentage increases value can be written as
Percentage increase = (difference in increase/Original price) × 100
so
percentage increase = (15000/300000) × 100 = 5%
so the property needs to increase in value by at least 5% per year to cover the loss.
The woman needs to pay $1750 monthly as interest. Her yearly income from the rent is $18,000. After considering all other costs, she is at a loss of $6000 per year, so the property needs to increase in value by 2% per year to cover this loss.
Explanation:First, let's calculate the monthly interest she needs to pay. 7% of $300,000 is $21,000 for a year. To find the monthly interest, we divide this by 12, resulting in $1750.Her yearly income from rent is $1500 multiplied by 12, giving us $18,000.To calculate her overall loss, we add the yearly interest and the costs to keep the property, then subtract the yearly rent income. So, $21,000 + $3000 - $18,000 = $6000 loss per year.Lastly, to find out by what percentage the property value needs to increase, we divide the loss by the original price and multiply by 100, giving us 2% increase per year.Learn more about Interest and Profit Calculation here:https://brainly.com/question/32651816
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Which expression can be used to determine the reference angle for an angle, x, measuring 150°?
A 180-X
B X-180
C360-X
D X-360
Answer:
The expression that can be used to determine the reference angle for an angle, x, measuring 150° is A) 180 - X.
The reference angle is the acute angle between the terminal side of an angle and the x-axis in standard position. To find the reference angle for an angle greater than 90 degrees, we subtract the angle from 180 degrees.
In this case, the angle is x = 150 degrees. So, the reference angle would be:
180 - x = 180 - 150 = 30 degrees.
Therefore, the reference angle for an angle measuring 150 degrees is 30 degrees.
Photo has the information. Please let me know how you find out the answer. Show ALL your steps!!
[tex]\sqrt{363}-3\sqrt{27} ~~ \begin{cases} 363=3\cdot 11\cdot 11\\ \qquad 3\cdot 11^2\\ 27=3\cdot 3\cdot 3\\ \qquad 3\cdot 3^2 \end{cases}\implies \sqrt{3\cdot 11^2}-3\sqrt{3\cdot 3^2} \\\\\\ 11\sqrt{3}-3(3)\sqrt{3}\implies 11\sqrt{3}-9\sqrt{3}\implies 2\sqrt{3}[/tex]