The change as a percentage is 6.7 %
How to calculate the percentage change ?The price of the building in the year 2021 is $4,200,00
The price of the building in 2021 is $4,500,000
Therefore the percentage change can be calculated as follows
= 4,500,000 - 4,200,000/4,500,000 × 100
= 300,000/4,500,000 × 100
= 0.066 × 100
= 6.7 %
Hence the percentage change is 6.7%
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sam had a yard sale. the next day he made a deposit with no cash back. he deposited 28 twenties, 18 tens, 32 fives, 20 ones, 18 quarters and checks for $22, $18.18 and $67.04. what was the amount of his deposit?
The total amount of money Sam deposited is $1,031.72.
Given that, Sam deposited 28 twenties, 18 tens, 32 fives, 20 ones, 18 quarters and checks for $22, $18.18 and $67.04.
We need to find out what was the amount Sam deposited.
What is the sale?Add the rate to the purchase price to determine the discount. Subtract the discount from the original price to arrive at the sale price.
The discounted price at which products or services are being sold is known as a sale price.
Now, total money = 28×20+18×10+32×5+20×1+18×0.25+22+18.18+67.04
=560+180+160+20+4.5+22+18.18+67.04
=1,031.72
Therefore, the total amount of money Sam deposited is $1,031.72.
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n.
D
5. Simplify an expression for
the perimeter of the square.
5.9x-33
5.9-3.3
EE163
5.9x-3.3
23.6x-13.2=50
CA
I don’t understand how you get 50
The value of the perimeter of square become is 36x - 132.
According to the statement
We have to find that the perimeter of the square.
So, For this purpose, we know that the
The perimeter of the square is defined as the total length of the boundary of a square.
From the given information:
The side of the square is given which is:
9x - 33
Then
We know that the
Perimeter of square = 4a
And substitute the values in it then
here a = 9x-33
Then after put the values Then
Perimeter of square = 4(9x-33)
Perimeter of square = 36x - 132.
The value of the perimeter of square become is 36x - 132.
So, The value of the perimeter of square become is 36x - 132.
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Find the solution to the system of equations. Round to the nearest tenth if necessary.
f(x) = 3x+6
g(x) = x² + 4x + 1
Answer:
The solutions are
(-2.8, -2.4) and
(1.8, 11.4)
- to the nearest tenth.
Step-by-step explanation:
x² + 4x + 1 = 3x+6
x² + 4x - 3x + 1 - 6 = 0
x² + x - 5 = 0
Using the quadratic formula:
x = [-1 +/- √((1)² - 4*1*(-5)] / 2
= (-1 - 4.583) / 2 , (-1 + 4.583) / 2
= -2.791, 1.792.
Substituting for x in the equation:
y = -2.374, 11.374.
A taxi ride for the airport to your hotel costs a flat fee of $10 the moment you sit in the back seat plus $0.75 each mile plus a tip of $5 to the driver at the end of the ride. Your hotel is 24 miles from the airport and you have $30 in your pocket. Do you have enough money to make it to your hotel in the taxi, including the tip? Declare what your variable represents, write the equation or inequality that models the situation, solve for the variable showing your steps, and answer the question.
Greetings from Brasil...
We have 2 fixed fees:
→ $10 when you sit on the bench
→ $5 tip
So, fixed fees = $10 + $5 = $15
The rate that varies would be the distance traveled. The fee will be $0.75 per mile moved. In this case we can write that:
C = 0.75M + fees
C = 0.75M + 15let
C = cost
M = mile(s)
for 24 miles, M = 24, then
C = 0.75M + 15
C = 0.75 · 24 + 15
C = 18 + 15
C = $33
With $30 it will not be possible to make this trip, as the total cost would be $33
One solution or alternative would be to reduce the tip amount. Instead of $5, pay only $2 of tip.
We can rewrite the cost expression involving a variable for the tip:
C = 0.75M + T + 10
let T = tip
For the exercise example.... The distance (M) its 24 miles and the value of C has to be what I have in my pocket: 30.... then M=24 and C=30
C = 0.75M + T + 10
30 = 0.75 · 24 + T + 10
30 = 18 + T + 10
30 - 18 - 10 = T
T = 2
Is it possible to do this ride if you pay only $2 tip
The cost of a school banquet is $95 plus $15 for each person attending. Write an equation
that represents the relationship between the total cost and number of people attending.
Answer:
95 + (15 x n) n = number of people attending
Step-by-step explanation:
the Price will vary based on how many people attend the wedding, so if the variable n represents the number of people attending you only need to times that by 15$ and then add the original 95$
Chelsea reduced the size of a triangle to a width of 4 in. What is the new height if it was originally 10 in. tall and 20 in. wide?
The ratio of saving to spending is 9:4 how does she spend and how mush does she save
She will spend £250 and save £400.
Ratio is an expression that indicates how many times one quantity is more than the other.
Here, we are given that Miss penny inherits £650.
Her saving to spending ratio is 9 : 4
Thus, the proportion of money she saves is 9/ (4+9) = 9/13
therefore, the amount of money saved will be-
9/13 of 650
= 9/13 * 650
= 9 * 50
= 450
Thus, Miss Penny saves £400.
The remaining amount left with her = 650 - 400 = 250.
Thus, she spends the remaining £250.
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Your question was incomplete. Check for full content below-
Miss penny inherits £650. She decides to save some of the money and spend the rest. The ratio of saving to spending money is 9:4. How much does she save and how much does she spend?
art sculpture composed of 3,880 craft sticks and 960 pieces of balsa wood. What is the ratio of craft sticks to balsa wood?
Answer:
3880 ÷ 960 = 4.041
ratio = 4:1
Each graph shows a relation. The first and second numbers of each ordered pair in the relation are members of the set of real numbers. In each case, find the domain and the range of the relation and determine whether the relation is a function.
Using it's concepts, we have that:
The domain of the relation is of -2 ≤ x ≤ -1.The range of the relation is of -2 ≤ y ≤ 2.Since each value of the input is mapped to only one value of y, it is a function.What are the domain and the range of a relation?The domain of a relation is the set that contains all possible input values for the relation. In a graph, it is given by the values of x.The range of a relation is the set that contains all possible output values for the relation. In a graph, it is given by the values of y.
Hence:
The domain of the relation is of -2 ≤ x ≤ -1.The range of the relation is of -2 ≤ y ≤ 2.When does a relation represents a function?
A relation represents a function when each value of the input is mapped to only one value of the output.
From this graph, we have that each value of x is mapped to only one value of y, that is, there are no vertically aligned points, hence the relation is a function.
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Which of the following is a true statement?
a. Only option A will allow them to meet their goal.
b. Only option B will allow them to meet their goal.
c. Saving by either option A or option B will allow them to meet their goal.
d. Neither option A nor option B will allow them to meet their goal.
The true statement is c. Saving by either option A or option B will allow them to meet their goal.
What is a true statement?A true statement can be described as the statement that that the message is been stated or declared which could be in a communication (oral or written) in setting forth particulars or facts.
In this case, we can see that true statement is c. Saving by either option A or option B will allow them to meet their goal this is because we can see a fact from how both option present their words.
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COMPLETE QUESTION:
Option A: Stay with saving the original amount each week but take the class a week later than originally planned.
Option B: Increase the amount of money he saves each week by $15 from his original plan.
You have two strands of decorative lights. Strand A changes color every 8 seconds and Strand B changes color every 12 seconds. Both strands just changed color. After how many seconds will the strands change color at the same time again?
Answer:
24 seconds
Step-by-step explanation:
Strand A: 3 × 8 secons =24 seconds
Strand B: 2 × 12 seconds= 24 seconds
The 1st, 2nd and 3rd terms of a geometric progression are the 1st, 9th and 21st terms of an arithmetic progression respectively. Given that the 1st term of both progressions is 8 and the common ratio of the geometric progression, r not equation of 1 .Find .
a.The value of r
b.the 4th term of each progression
a. The value of r = 3, -1/2.
b. The 4th term of each progression;
for r = 3; AP = 14, GP = 216.for r = -1/2; AP = 7/2, GP = 1/2.What is defined by AP and GP?An Arithmetic Progression (AP) is a collection of terms with the same differences between them. In a Geometric Progression (GP), each successive term is created by multiplying the common ratio by previously acted.As, per the given question;
Let the first three terms of GP be a, ar, and ar².
The 1st, 2nd and 3rd terms of a GP equals 1st, 9th and 21st terms of an AP respectively.
First term are equal; a = a2nd term GP = 9th term of AP; ar = a + 8d. 3rd term GP = 21st term of AP; ar² = a + 20d.where, 'r' is the common ratio in GP and 'd' is the common difference in AP.
Part 1: Multiply equation 1 by 5 and 2 by 2 and subtract 1 from 2.
2ar² - 5ar - 3a = 0
Put a = 8 and solving.
16r² - 40r - 24 = 0.
Factorising the above equation;
(r - 3)(2r + 1) = 0
Thus, r = 3 and r = -1/2
Part 2:
Case 1: For r = 3; a =8;
ar = a + 8d
d = 2.
Thus, 4th term = a + 3d
= 8 + 3×2
4th term = 14.
For GP;
4th term = ar³
= 8(3)³
4th term = 216.
Case 2: For r = -1/2; a =8;
ar = a + 8d
d = -3/2
Thus, 4th term = a + 3d
= 8 + 3×(-3/2)
4th term = 7/2
For GP;
4th term = ar³
= 8(-1/2)³
4th term = -1.
Therefore, the values for the r and 4th term is estimated.
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find the distance between the two points in simplest radical form. (1,-7) and (7,0)
Step-by-step explanation:
Answer:
The distance between the two given points is equal to √85.
Step-by-step explanation:
Let's recall what the distance formula is:
\displaystyle \huge\math\boxed{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} }\math
d= (x 1 −x2 ) 2 +(y 1 −y 2) 2
We are defined our two points as:
(x₁, y₁) → (1, -7)
(x₂, y₂) → (7, 0)
We can rewrite this into our different "variables":
x₁ = 1
y₁ = -7
x₂ = 7
y₂ = 0
Now given our distance formula and our variables, we can find the distance between the two points:
\begin{gathered}\displaystyle\huge\begin{aligned}d & = \sqrt{(1 - 7)^2 + (7 - 0)^2} \\& = \sqrt{(-6)^2 + (7)^2} \\& = \sqrt{36 + 49} \\& = \math\boxed{\sqrt{85}} \\\end{aligned}\end{gathered}
d= (1−7) 2+(7−0) 2= (−6) 2+(7) 2 = 36+49=\math 85
∴ since the radical is already in its simplest form, our distance between the two points is equal to √85.
Hope this helps!
Which expression is equivalent to the given expression?
2n−6
A −2(n−3)
B 6−2n
C −4n
D 2(n−3)
100 Points and Brainliest
Given the following function equations, state all of the transformations present on the graph of f(x)
4f(x-1)
-f(2x)
f(-x)+2
Answer:
Step-by-step explanation:
If x
1
=2 ,y
1
=
16
3
dx
dy
=(2.2
−2x
−2
−x
)ln2
(
dx
dy
)
x=2
=
8
1
−
4
1
=−
8
1
ln2=m
(x−x
1
)m=y−y
1
(x−2)(−
8
1
ln2)=y−
16
3
(2ln2)x+16y−3−4ln2=0 is the tangent at the point with abscissa
′
2
′
a solid is 5.0cm tall, 3.0cm wide and 2.0cm thick. it has a mass of 387g. What is the density?
Answer: 12.9
Step-by-step explanation:
5 x 3 x 2= 30
5 x 3= 15
15 x 2= 30
D= M/V -> Try to remember the DMV
387 / 30= 12.9
30 x 10= 300
30 x 2= 60
30 x 1= 30
30 x .9= 27
10 + 2 + .9= 12.9
300 + 60 + 27= 387
Question:
Given the demand equation p=190/q+10 where 10<0<85, for what value of q is | n | a maximum? For what value is it minimum?
The maximum and minimum value of η at q = 10 and q = 85 respectively.
The demand equation is p = 190/ (q + 10) where 10 < 0 < 85.
η is the elasticity of demand.
Then, the elasticity of demand is given as:
η = ( dq/ dp) × ( p / q )
Now, we have p = 190/ (q + 10)
Therefore,
p ( q + 10 ) = 190
pq + 10p = 190
q = ( 190 - 10p ) / p
Now,
dq / dp = ( d/dp ) ( ( 190 - 10p ) / p )
dq / dp = ( -190/ p² )
Substituting these values in the elasticity demand,
η = ( dq/ dp) × ( p / q )
η = ( -190/ p² ) × ( p / q )
η = ( -190/ pq )
η = ( -190/ [190 / (q + 10 ) ]q )
η = [ - ( q + 10 ) / q ]
| η | = | - ( q + 10 ) / q |
η = ( q + 10 ) / q = 1 + 10/q
The critical point is when | η' | = 0.
η' = ( d / dq ) ( 1 + 10/q )
η' = - 10/ q²
- 10/ q² = 0
Hence, - 10/ q² is not defined.
Therefore, the function is not defined at q = 0.
Therefore, q = 0 is not a solution.
We have 10 ≤ q ≤ 85
The value of functions at the endpoint,
At q = 10,
η = ( 1 + 10/q )
η = ( 1 + 10/10 )
η = 1 + 1 = 2
At q = 85,
η = ( 1 + 10/q )
η = ( 1 + 10/85 )
η = 1.11764
Therefore, the absolute value of the elasticity of demand is maximum at q = 10.
The absolute value of the elasticity of demand is minimum at q = 85.
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QUESTION 6
Given: f(x) = 2x² + 4x + 5,
f(a) = ?
None of the above
f(a)=2a² +4a+5
f(a) = 2a + 9
f(a) = 6a + 5
QUESTION 7
Given the same function as in #6, find f(a+h)
2a²+2h²+4a+5
None of the above
2a²+2h²+4a+4h+5
2a²+4ah+2h²+4a+4h+5
Question 6
Step-by-step explanation:
the answer is f(a)=2a²+ 4a+5
Question 7
2a²+4ah+2h²+4a+4h+5
orentation.
2. Construct Arguments Triangle L'M'N' is the
image of triangle LMN after a translation. How
are the side lengths and angle measures of the
triangles related? Explain.
A coordinate system is geometry is a system that employs one or more integers, or coordinates, to define the position of points. The rules that maps the other vertices of the figure to their images is T<-2, -7> (x,y).
What are coordinates?
A coordinate system is geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
Given that Sanjay determined that one vertex of a figure was mapped to its image by translating the point 2 units left and 7 units down.
In order to translate coordinates, 2 units left we need to subtract 2 units from the x-coordinate of the point, while to translate the point 7 units down we need to subtract 7 from the y-coordinate of the point.
Therefore, the rule that maps the other vertices of the figure to their images is, (x¹,y¹)=(x-2,y-7), or it can bse written as T<-2,-7> (x, y),
where x¹ and y¹ are the coordinates of the points after transliteration.
Hence, the rule that maps the other vertices of the figure to their images is T<-2,-7> (x, y,).
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The highest point in a country has an elevation of 14,291 feet. The lowest point in a country is at 508 fest below sea level. How much higher is the highest point then the lowest point?
The highest point is ____ ft. higher than the lowest point
( the answer is not 13,783 )
The highest point is 14799 ft. higher than the lowest point.
How to calculate the value?From the information, the highest point in a country has an elevation of 14,291 feet. The lowest point in a country is at 508 fest below sea level.
The difference between the points will be:
= 14291 - (-508)
= 14291 + 508
= 14799 feet
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The equation
3x-15
= 4x models temperature change, where x represents the difference in degrees in the last 24 hours. Solve for x.
Answer:
15
Step-by-step explanation:
[tex]3x-15=4x \\ \\ x-15=0 \\ \\ x=15[/tex]
How many points are represented in the graph below? Enter a number or 'oo' if there are an infinite number
of points.
There are how many
points on the graph?
Answer:
Infinite
Step-by-step explanation:
The graph is continuous, so it passes through infinitely many points.
Use differences to find a pattern in the sequence.
3,8,15,28,51,88,143
Assuming that the pattern continues, the eighth term should be
Answer:
220
Step-by-step explanation:
You want to use differences to find the pattern and the next term in the sequence 3, 8, 15, 28, 51, 88, 143.
First differencesSubtracting each term from the next, we find the sequence of first differences to be ...
5, 7, 13, 23, 37, 55
Second differencesThe first differences are not constant, so we know the sequence is not linear. They are not in an arithmetic progression, so we know the sequence is not quadratic. They do not have a common ratio, so we know the sequence is not exponential.
The second differences are the differences of the sequence of first differences. They are ...
2, 6, 10, 14, 18
Third differencesThe differences of the terms of the 2nd-difference sequence are constant: 4.
4, 4, 4, 4, 4
Constant 3rd differences mean the original sequence can be described by a 3rd degree polynomial. The coefficients found by a calculator are shown in the attachment.
Next termSince we know the third differences are constant, we can work our way back up the chain of differences to find the next term of the original sequence.
next 2nd difference = 18 +4 = 22
next 1st difference = 55 +22 = 77
next sequence term = 143 +77 = 220
The eighth term should be 220.
__
Additional comment
The n-th term is ...
f(n) = 2/3n^3 -3n^2 +28/3n -4
Convert the following metric units of length.
100 kilometers to meters
a 100,000 m
b 10,000 m
c 108,076 m
d 109,076 m
The conversion of 100 kilometers to meters would be,
100 kilometers = 100,000 meters
The correct answer is an option (a)
In this question we need to convert the metric units of length.
We need to convert 100 kilometers to meters.
We know that, 1 kilometer = 1000 meters
Let 100 kilometers = p meters
So, we get an expression,
p × 1 = 100 × 1000
From this expression we get,
p = 100,000 meters
This means, 100 kilometers = 100,000 meters
Therefore, the conversion of 100 kilometers to meters would be,
100 kilometers = 100,000 meters
The correct answer is an option (a)
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A bowl filled with lollipops is 3/4 full. 2/3 of these lollipops are green. What fraction of the full bowl are the green lollipops?
Answer:
1/12
Step-by-step explanation:
All you need to do is subtract 3/4 by 2/3, the difference of those two numbers is 1/12.
What are the possible values of x for the following functions? F(x)= x-3 / 2x+6
Answer:
(in English)
x can be anything EXCEPT -3
(in Math)
Interval Notation:
(negativeinfinitysymbol,-3)U(-3,infinitysymbol)
Set Builder Notation:
{x | x < -3 or x > -3}
Step-by-step explanation:
Since this function is a rational function (like a fraction) we have to watch out for what is going on in the denominator. The denominator cannot be zero.
So, 2x + 6 cannot be zero. Let's figure out what makes 2x+6 actually equal to 0.
2x + 6 = 0
Subtract 6.
2x = -6
Divide by 2.
x = -3
Remember this is what x canNOT be.
This question is a domain question. What is x allowed to be? x may be anything except -3.
Use this information to find the value of b
c = 25
s = 9
b = 4c - s2
Answer:
Step-by-step explanation:
b=4c-s2
4(25)-9(2)
100-18=82
b=82
4x 2x - 2 = 2x
What does “X” equal?
Answer: x=0.5
Step-by-step explanation:
4x+2x - 2 = 2x
6x-2=2x
6x=2x+2
4x=2
x=0.5
The length of a rectangle is 4 units greater than its width, and the area of the rectangle can be
expressed by the equation y = x + 4x. What is a reasonable domain for this function?
O
O
O
O
A y>0
By> 4
C X>0
D X> 2
The reasonable domain for this function is [tex](x > 0)[/tex] .
The collection of all feasible values for the independent variable is referred to as a function's domain.
When we substitute different values for the independent variable from the domain, the dependent variable's range refers to the set of all conceivable values for that variable.
Let the width of the rectangle be x units.
Thus as per given information length becomes x+4 units.
It is given, the area of rectangle can be expressed by the equation
[tex]y=x^{2} +4x[/tex]
Now let's find domain of this function.
clearly x cannot be zero and x cannot be negative because x represents the width of the rectangle and the width of a rectangle cannot be zero or negative.
Therefore the domain of the function is
[tex](0,\infty)[/tex] or x>0 .
Therefore the domain is given by the thirds option (c) x>0 .
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Solve for X
-7 -2x + 7 = -7
Answer:
UR MOM the reason why im saying this cuz i want to be deleted off of brainly
Step-by-step explanation: