Answer:
the down payment of 20000 is 10% of the purchase price of 200000.
Step-by-step explanation:
To calculate the percentage of the down payment to the purchase price, you can use the following formula:
(down payment / purchase price) x 100
So in this case:
(20000 / 200000) x 100 = 0.1 x 100 = 10
Therefore, the down payment of 20000 is 10% of the purchase price of 200000.
in 2000 the population of Africa was 807million and by 2011 it had grown to 1052million.find the exponential growth function that models the data
Study finds that Africa’s population increased by over 1 billion, from 228.7 million in 1950 to 1.341 billion in 2020: 431 million in Eastern Africa; 404 million in Western Africa; 247.5 million in Northern Africa; 193.5 million in Middle Africa; and 64.5 million in Southern Africa.
Exponential Decay APPLICATION The half-life of strontium-90 is 28 years, meaning that after 28 years a given amount of the substance will have decayed to half the original amount. Application In 2000, the population of Africa was 807 million and by 2011 it had grown to 1052 million. Use the exponential growth model in which t is the number of years after 2000, to find the exponential growth function that models the data. The model isApplication continued:- By which year will Africa’s population reach 2,000 million. Use the exponential growth function model: to find how long it will take to reach a population of 2,000 million.
Nigeria is forecast to become the world’s third-biggest country – after India and China – with 405 million people. The main reason for these demographic trends is Africa’s high fertility rate compared with other regions
To learn more about Africa population to refer:
https://brainly.com/question/15393127
#SPJ1
Please help me with this question.
Answer:
Step-by-step explanation:
put the 2x and make it 2
PLSSS HELPP
SIMFLY THE EXPONENTIAL EXPRESSION
Answer:
Step-by-step explanation:
the answer is:
5y^10
_____
7x^4
If this isnt the simplified version, you want im sorry
Answer:
[tex]\frac{5y^{10} }{7x^{4} }[/tex]
Step-by-step explanation:
[tex]\frac{30x^{3}y^{2} }{42x^{7} y^{-8} }[/tex] to make [tex]y^{-8}[/tex] positive we need to put it in the numerator (top)
[tex]\frac{30x^{3}y^{2}y^{8} }{42x^{7} }[/tex] Now I am going to write it in expanded form
[tex]\frac{2x3x5xxxyyyyyyyyyyyy}{2x3x7xxxxxxx}[/tex] If we cross out what we have on the bottom and the top, we will be left with our answer simplified.
[tex]\frac{5y^{10} }{7x^{4} }[/tex]
in an exam 11 student got the following marks. find the median and no of students above and below the median 60,64,95,99,65,70,72,80,85,90,75
The precise middle value of a data set when it is ordered is called the median.Consequently, 7 is the needed median for the specified data set.
What is the median?The precise middle value of a data set when it is ordered is called the median.Separating the lowest 50% of data from the top 50% of values is a measure of central tendency.If you have an odd or even number of data points, the processes for calculating the median will be different.
The exact middle value in an ordered data set is known as the median.It is a metric of central tendency that separates the bottom and top half of the data.
Sort the provided data set into the following order: 1, 4, 5, 7, 8, 9, 15, and 16.
Eight terms total, all even.
The data set's median is equal to the nth term, the eighth term, and the fourth term. = 7
Consequently, 7 is the needed median for the specified data set.
To learn more about median refer
https://brainly.com/question/26940257
#SPJ1
Suppose the following data show the introductory interest rates on a sample of 5 credit cards: 5.7, 1.4, 3.6, 4.9, 4.0. Calculate the mean interest rate of the sample.
The mean interest rate of the sample is 3. 92
What is mean?Mean of values is mathematically described as a quantity having a value that is intermediate between those of the extreme members of a given se of numbers.
It is referred to as the average of numbers or values. It is also described as the central value of a set of numbers.It is calculated by dividing the sum of the values or numbers by the total number of numbers in the set.From the information given, we have the set of values;
5.7, 1.4, 3.6, 4.9, 4.0
The formula for calculating mean is expressed as;
Mean = sum of numbers/ total number of numbers
Substitute the values
Mean = 5. 7 + 1. 4 + 3. 6 + 4. 9 + 4. 0/5
Add the values
Mean = 19. 6/5
divide through
Mean = 3. 92
Hence, the value is 3.92
Learn more about mean here:
https://brainly.com/question/20118982
#SPJ1
complex numbers. see picture for question!!!
Answer:
yes b is a right answer hope it will help you and please make me brainlist
Find an ordered pair (x, y) that is a solution to the equation.
4x-y=3
(x, y) = (_, _)
Answer:
(0, -3)
Step-by-step explanation:
You want a point on the graph of 4x -y = 3.
PointIt is often convenient to choose an intercept when looking for a point that will satisfy the equation. Here, it is convenient to set x=0 to obtain y=-3.
A solution ordered pair is (0, -3).
__
Additional comment
Here, it will be more convenient to choose a value for x. Choosing a value for y can result in fractions becoming involved for the values of x. We prefer to avoid that.
y = 4x -3 . . . . . . y=-3 when x=0; y=1 when x=1, so (1, 1) is another solution
<95141404393>
The 6th term of an AP is 32 while the 10th term is 48. find the common difference and the 1st term
Answer:
d = 4 and a₁ = 12
Step-by-step explanation:
the nth term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
given a₆ = 32 and a₁₀ = 48 , then
a₁ + 5d = 32 → (1)
a₁ + 9d = 48 → (2)
subtract (1) from (2) term by term to eliminate a₁
0 + 4d = 16
4d = 16 ( divide both sides by 4 )
d = 4
substitute d = 4 into (1) and solve for a₁
a₁ + 5(4) = 32
a₁ + 20 = 32 ( subtract 20 from both sides )
a₁ = 12
Isosceles triangle OPQ has legs OP = OQ, base PQ = 2 , and POQ = 45. Find the distance from O to PQ.
In other words, how can you find the hight of an isosceles triangle with the base and angles.
The height of the isosceles triangle OPQ is given as follows:
2.41.
What is isosceles triangle?An isosceles triangle is a triangle that has two equal side lengths, hence it also has two equal angle measures.
The top angle is of 45º, while the sum of the internal angles of the triangle is of 180º, hence the base angles are obtained as follows:
2x + 45 = 180.
2x = 135
x = 135/2
x = 67.5º.
Then the height is obtained considering a right triangle, in which the height is opposite to an angle of 67.5º, while the adjacent side has length of 1, which is half the base.
Applying the tangent of the angle of 67.5º, the height is obtained as follows:
tan(67.5º) = h/1
h = tan(67.5º)
h = 2.41.
More can be learned about isosceles triangles at brainly.com/question/23986525
#SPJ1
The histogram provided summarizes the high temperature recorded each day for one month. Which of the following conclusions is accurate accordin
the data provided?
A The temperatures were generally increasing throughout the first few weeks of the month.
B The most frequently recorded high temperature during the month was 78 degrees.
C There were fewer days with high temperatures between 77 and 80 degrees than between 65 and 76 degrees.
D There were an equal number of days with high temperatures of 81 degrees or higher and days with high temperatures of 76 degrees or lower.
PLS ANSWERR
Answer:
Step-by-step explanation:
Given the histogram provided, it is not possible to draw a conclusion as it doesn't show any data.
A histogram is a graphical representation of a dataset, showing the frequency of each data point in a specific range. The x-axis shows the range of data points, and the y-axis shows the frequency of each data point. Without the data, it's impossible to draw any conclusion.
In order to draw a conclusion, we need to know the data that the histogram represents, such as the range of temperatures, the frequency of each temperature, and the number of days in the month. Based on that information, we can draw conclusions about the data provided.
On an island, frogs are always either green or blue in some initial ratio of blue to green frogs. The number of blue frogs increased by 60% while the number of green frogs decreased by 60%. It turns out that the new ratio of blue frogs to green frogs is the same as the previous ratio in the opposite order (green frogs to blue frogs). By what percentage did the overall number of frogs change?
When the number of blue frogs increased by 60% and the number of green frogs decreased by 60%, the percentage of the overall increase is solved to be 60%
How to find the percentage of the overall increaseAssuming the number of blue frogs and the number of green frogs are equal and = y
Then the total number of frogs = y + y = 2y
Increasing the percentage of each by 60%, the factor for percentage increase by 60% is 1.6
hence 1.6y + 1.6y = 3.2y
percentage change
= change in price / original price * 100
= (3.2y - 2y) / 2y * 100
= 1.2y / 2y * 100
= 0.6 * 100
= 60
hence the percentage change is 60%
Learn more about percentage change at:
https://brainly.com/question/24339661
#SPJ1
converting within measurement sytems
Converting within measurement systems means that we are changing the unit of measurement from one to another.
What is Converting within measurement systems?It is referred to as converting units within measuring systems if we do it using the metric or conventional systems. The conventional system and the metric system are the two most widely used measurement systems. In other words, we are not converting units from customary to metric or vice versa.
Simple unit conversions can be performed mentally or with one-step multiplication or division. There are, however, more difficult conversions that call for many conversions between a wide range of units.
The Unit Factor Method, another name for the Dimensional Analysis process, is a mathematical technique that takes advantage of the fact that any number or statement may be multiplied by "one" without changing its value. By multiplying the previous measurement by one (or more) different representations of the number 1, you can convert units. Although the measurement's value is unaffected by the factor of 1, the measurement's units are.
A ratio of one is referred to as a conversion ratio or unit factor. The names of the units that will be used in the conversion are listed in this ratio. It can be used to convert values both within the English and Metric Systems and between the two. The idea of equivalent values serves as the foundation for the conversion ratio.
Learn more about Converting within measurement systems:
brainly.com/question/18522397
#SPJ1
Complete question:
What do you mean by converting within measurement systems?
The deck of a bridge is suspended 265 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surface after t seconds is given by
y = 265 − 16t2.
The height of the pebble after 2 seconds is 201 feet.
How to determine the height of the pebbleFrom the question, we have the following parameters that can be used in our computation:
y = 265 − 16t2.
The height of the pebble after 2 seconds is given by
y = 265 - 16 * 2^2.
Plugging in the values:
y = 265 - 16 * 4
y = 265 - 64
y = 201 feet
So, the height of the pebble after 2 seconds is 201 feet.
Read more about functions at
https://brainly.com/question/1415456
#SPJ1
Complete question
The deck of a bridge is suspended 265 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surface after t seconds is given by
y = 265 − 16t2. What is the height after 2 seconds
Which table represents the second piece of the function f(x) = StartLayout enlarged left-brace 1st Row 1st column negative 3.5 x + 0.5, 2nd column x less-than 1 2nd row 1st column 8 minus 2 x, 2nd column x greater-than-or-equal-to 1 EndLayout?
A 2-column table has 3 rows. The first column is labeled x with entries negative 1, 0, 1. The second column is labeled f (x) with entries 4, 0.5, negative 3.
A 2-column table has 3 rows. The first column is labeled x with entries negative 1, 0, 1. The second column is labeled f (x) with entries 10, 8, 6.
A 2-column table has 3 rows. The first column is labeled x with entries 1, 2, 3. The second column is labeled f (x) with entries 6, 4, 2.
A 2-column table has 3 rows. The first column is labeled x with entries negative 1, 2, 3. The second column is labeled f (x) with entries negative 3, negative 6.5, negative 10.
The values in the table that represent the second piece of the function f(x) is the option;
A 2-column table has 3 rows. The first column is labeled x with entries 1, 2, 3. The second column ism labeled f(x) with entries 6, 4, 2
What is a mathematical function?A function maps the values in the set of input variables to the values in the set of output variables.
The functions are presented as follows;
First row; f(x) = -3.5·x + 0.5; x < 1
Second row; f(x) = 8 - 2·x; When x ≥ 1
The second piece of the function is therefore;
f(x) = 8 - 2·x; When x ≥ 1
The possible values of x, which are values in the domain are; 1, 2, 3
The values of f(x), which are values in the range are therefore;
f(1) = 8 - 2 × 1 = 6
f(2) = 8 - 2 × 2 = 4
f(3) = 8 - 2 × 3 = 2
The values of x and f(x) are therefore;
x [tex]{}[/tex] f(x)
1 [tex]{}[/tex] 6
2 [tex]{}[/tex] 4
3 [tex]{}[/tex] 2
The correct option that represents table for the second piece of the function, f(x) is therefore;
A 2-column table has 3 rows. The first column is labeled x with entries 1, 2, 3. The second column is labeled f(x) with entries 6, 4, 2
Learn more about the domain and range of a function here: https://brainly.com/question/10707624
#SPJ1
Answer: C. or third chart
Step-by-step explanation:
Got it right!!
a cylinder container 12 inches tall with a radius of 6 inches is completely filled with vanilla, chocolate, and strawberry ice cream in the ratio 3:2:1. Which statement(s) are correct?
A.) The volume of vanilla ice cream is V = 216π in^3
B.) The total volume of ice cream is V = 1728π in^3
C.) The total volume of ice cream is V = 432π in^3
D.) The volume of strawberry ice cream is V = 288π in^3
E.) The volume of chocolate ice cream is V = 576π in^3
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ h=12 \end{cases}\implies V=\pi (6)^2 (12)\implies \stackrel{\textit{total volume of ice-cream}}{V=432\pi ~in^3}[/tex]
Sarah needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4.25 hours and charged her $54 for parts. The total was $585.25. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.
The cost of labor per hour is $125.
What is the cost of labor per hour?The equation that can be used to solve for the cost of labor per hour is a linear equation. A linear equation is an equation that has a single variable that is raised to the power of one.
The form of the linear equation is:
Total cost = cost of the parts + (cost per hour x total hours worked)
$585.25 = $54 + (4.25 x d)
$585.25 = $54 + 4.25d
In order to determine the value of x, take the following steps:
Combine similar terms:
$585.25 - $54 = 4.25d
Add similar terms
$531.25 = 4.25d
Divide both sides of the equation by 4.24
d = 531.25 / 4.25
d = 125
To learn more about linear equations, please check: https://brainly.com/question/29776996
#SPJ1
Let p be you are a baby. Let Q be you are logical. Let r be you can manage a crocodile. Let S be you are despised. Translate the following Statement into symbolic form. Babies are illogical
A.) Q ➡️~P
B.) ~P ➡️~Q
C.) P➡️~Q
D.) Q➡️P
Translating the statement "Babies are illogical" into symbolic form willoll be C. P➡️~Q
What is a symbolic form?Symbols and logical connectors are used in symbolic sentences to represent the sentence's logic.
A letter, such as p, can represent an entire statement in symbolic logic.
In symbolic form, the argument is p → q ~p ∴ ~q It is in the form of the fallacy of the inverse and it is a fallacy, or invalid
In this case, it should be noted that since p is that you are a baby and Q be you are logical. The symbolic form will be C.
Learn more about symbolic form on:
https://brainly.com/question/29057571
#SPJ1
Name four rays that have point E as an endpoint.
The rays in the figure are (b) EA, EF, ED and EG
How to determine the names of teh raysA ray in geometry is a part of a line that has one endpoint and continues infinitely in one direction.
It is represented by an arrow with the endpoint of the arrow being the endpoint of the ray
Using the above definition as a guide, we have the rays to be
option (b) EA, EF, ED and EG
Read more about rays at
https://brainly.com/question/14366932
#SPJ1
How can you write an equation to represent this problem for any number of guards?
A man entered an orchard through 7 gates and picked some apples. When he left, he gave the first guard half his apples and 1 apple more. To the second guard he gave half his remaining apples and 1 more. He did the same to each of the remaining five guards and left the orchard with 1 apple. How many apples did he gather in all?
Answer:
Step-by-step explanation:
This problem can be represented by the equation: x + (x/2 - 1) + (x/4 - 1) + (x/8 - 1) + ... + (x/128 - 1) + 1 = x, where x is the total number of apples gathered.
This equation represents the process described in the problem, where the man gives half of his remaining apples (x/2, x/4, x/8, etc.) to each guard, minus 1 apple each time, until he is left with 1 apple.
In the University belt, the traffic lights at three different road crossings
change after every 36 seconds, 64 seconds and 110 seconds, respectively. If
they change simultaneously at 11 a.m., at what time will they change
simultaneously again?
Answer:
7:48 p.m.
Step-by-step explanation:
You want to know when lights with periods 36 s, 64 s, and 110 s will change simultaneously again if they do so at 11 a.m..
LCMThe lights will change simultaneously after a time that is the least common multiple (LCM) of the periods of the lights.
The least common multiple is the product of the unique factors in each of the numbers:
36 = 2² · 3²
64 = 2⁶
110 = 2 · 5 · 11
The unique factors are 2⁶, 3², 5, and 11. Their product is 31680. The lights will change simultaneously again after 31680 seconds.
Time conversionWe can convert this to hours, minutes, and seconds by repeated division by 60:
31680 / 60 = 528 r 0
528 / 60 = 8 r 48
31680 seconds is 8 hours, 48 minutes, and no seconds.
Clock timeAdding that time to 11 a.m. gives a clock time of ...
11:00 +8:48 = 19:48 = 7:48 p.m.
The lights will change simultaneously again at 7:48 p.m..
__
Additional comment
The lights will change simultaneously at 11 a.m. again after 11 days.
Emilia is sending her three children to different week-long daytime summer camps. The cost of the summer camp is $468
for the youngest child, $231
for the middle child, and $350
for the oldest child. Estimate how much it will cost to send the three kids to summer camp by rounding each cost to the nearest hundred.
Answer:
$1,100
Step-by-step explanation:
The cost of the summer camp for the youngest child is around $500, when rounded to the nearest hundred.
The cost of the summer camp for the middle child is around $200.
The cost of the summer camp for the oldest is around $400.
500+200+400=1100
Please help me understand this handwriting can some pls re write and label I DONT UNDERSTAND CURSIVE :(
Answer:
7:01
29%
Doyan of low
Shiman 1-R-1
Flous 1-1 Gambe 1-4-20
12 dual purpose
Martins 1-2-3 Flores 1-2, 1-3, 14
Gamba 2-1-5
Custand 1-4, 2-1
Conditions " humanitarian groups Salahiel 1-1-1, 1-1-2, 1-2-3 1-R-5, 2-L-2, 2-L-3, 2-14, 2-1-5, 2-RI
Flores 1-30
Munting 1-2-4
Gumbon 1-1-3 CDP 1-1-3
Status oppose ending 742 Montoya 1-1, 1-2, 1-3
federal courts challenge
Gamboa 1-R-2 Custom 1-7
CDP 1-L-36, 1-2-4
de Vogue 1-2-1, 2-1-5, 2-L-6
7 expulsions at boders
root causes textul Amer.
Cop 1-L-34, 1-1-2, 1-R-4
Border Report 1-2
CDP 1-R-2, 1-R-3 Montoya 1-8
Custarda 2-2
=
CLOSE
Hopes this helps :)
3. Ramon gives his friend his address: 1834 Norman Heights Hillbrow Johannesburg 3.1 What floor does Ramon live on? 3.2 What is Ramon's flat number?
The floor that Ramon lives on, given the address that Ramon gave his friend in Johannesburg, is Floor 18.
Ramon's Flat number, given the address, is Flat 34.
How to write a flat address in South Africa ?In South Africa, there is a way to write the floor that a person stays on and the flat number, in the address that they give to you. The format is such that the first two numbers would represent the floor number. This means that an address of 0208 would means that the floor number is the 2nd floor.
The second two numbers would then be the flat number of the person which means that an address of 0208 would have a flat number of 08.
Ramon's address of 1834 Norman Heights Hillbrow Johannesburg would then be Floor 18 and Flat 34.
Find out more on addresses at https://brainly.com/question/3521644
#SPJ1
A pyramid has a(n) for a base and a number of that all meet at the
same
о
-
A. two-dimensional object; faces; vertex
B. point; vertices; point
C. polygon; edges; face
D. edge; faces, point
Answer:
B. point; vertices; point
Step-by-step explanation:
A pyramid is a 3-dimensional geometric shape that has a base, which is typically a polygon, and a number of triangular faces that all meet at a single point called the vertex. The pyramid has vertices at the corners of the base and all other points where the triangular faces meet.
use substitution to solve the following system of equations.
4x+4y=16 AND y=x+2
( [?], [?])
The solution of the system of equations by using substitution method is x = 1 and y = 3
How to use substitution method to solve system of equations?The substitution method is a method for solving systems of equations. It involves solving for one variable in one of the equations and then substituting that value into the other equation to find the value of the other variable.
We have the equations 4x + 4y = 16 and y = x+2
Substitute y = x +2 into 4x + 4y = 16:
4x + 4y = 16
4x + 4(x +2) = 16
Clear the parenthesis:
4x + 4x + 8 = 16
8x + 8 = 16
8x = 16-8
8x = 8
x = 8/8
x = 1
put x = 1 into y = x+2:
y = x+2
y = 1 + 2
y = 3
Therefore, the solution of the system of equations is x = 1 and y = 3
Learn more about system of equations on:
https://brainly.com/question/29408552
#SPJ1
identify the vertex of the parabola
I WILL MARK BRAINLIEST
Answer:(1,0) which is the second one in the picture
Step-by-step explanation:The vertex is in (1,0).
Anyone can help me please??? Thank you :)))
A manufacturer has an order from flower shop to make gift boxes. A gift box is to be constructed from a piece of cardboard 60x60 cm by cutting out squares from the corners and folding up the sides. What is the size of cut out that will provide a gift box of maximum volume?
To maximize the volume we need to cut squares with a side length of 20cm.
How to maximize the volume?
Suppose that the length of the sides of the squares that we cut is X, that will be the height of the box, then its volume will be:
V = (60 - X)*(60 - X)*X
Now we just need to maximize that cubic equation.
V = X*( X^2 - 120*X + 3600)
V = X^3 - 120X^2 + 3600X
To maximize this we need to differentiate it and find the value of X that makes it equal to zero, we will get:
V' = 3*X^2 - 2*120*X + 3600
V' = 3*X^2 - 240*X + 3600
Now we make this equal to zero:
3*X^2 - 240*X + 3600 = 0
The solutions are given by the quadratic formula:
[tex]X = \frac{240 \pm \sqrt{240^2 - 4*3600*3} }{2*3} \\\\\\X = \frac{240 \pm 120 }{6}[/tex]
We will take the smaller solution:
X = (240 - 120)/6 = 20
Because the other solution makes the volume equal to zero.
This means that we need to cut squares with a side length of 20 cm.
Learn more about volume:
https://brainly.com/question/1972490
#SPJ1
I need help with both of these, list the sides of the figures from shortest to longest.
Answer:
First question
AC, AB,CB,CD,BD
Second question
KM, KL,ML,LN,MN
Step-by-step explanation:
Observe the different lengths of the triangles and where they connect the longest side of the little triangle is the shortest side of the biggest one
A and B are two cities.
a) Measure the bearing of B from A.
b) Measure the bearing of A from B.
Ax to Bx
a) Measure the bearing of B from A = 030
b) Measure the bearing of A from B = 210
What is bearing angle?The term bearing is used in the navigation. The bearing is the horizontal angle which is made between the direction of an object to the another object.
This angle is measure in the clockwise direction from the north direction.
To measure bearing of two cities:
Draw a straight line between point A and B upward. Now draw 2 lines vertically up going through both points as shown in attached image. Now measure the angle between the vertical line and the diagonal line. It's 030.
Hence, measure the bearing of B from A is 030.
To measure the bearing of A from B add 180 to the 030.
we get 210.
Hence, measure the bearing of A from B is 210.
To learn more about bearing angle visit:
brainly.com/question/23427938
#SPJ1
