Answer:
A = $ 7,299.92
A = P + I where
P (principal) = $ 6,000.00
I (interest) = $ 1,299.92
Step-by-step explanation:
A = P(1 + r/n)^nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
US music is popular in Europe, and Japanese music is popular among many people in the US. This kind of artistic and
entertainment connection is an example of a(n)
connection
A.
cultural
Beconomic
Cindustrial
D. political
Answer:
The correct answer is - A. cultural.
Step-by-step explanation:
The exchange of music, thus creating an artistic and entertainment connection between the people of different countries, regions, or continents is a nice example of cultural connection.
The music is part of the culture of the people, and all the people from every part of the world have their own specific type of music that complements their culture.
With the globalization process, people have been able to see and hear things from all around the world, thus managing to hear the music of all pats of the world. The Japanese and Korean music have experienced a real ''boom'' in popularity in the western world, as lot of people find it interesting, and the American music also reached new countries where it became the most popular, like in Europe for example.
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Answer:
A
Step-by-step explanation for why it's A:
The earth has become increasingly interconnected over recent times which has resulted in increased connection as well as cultural exchange amongst individuals.
This has allowed people to have access to new cultures,beliefs and ideas that were otherwise unavailable in their place of inhabitance.
Hence, Japanese music has become a lot more prevalent in the western world than it was say 60 years ago in a similar way American music has become more prevalent in Europe.
Software such as the internet have rapidly sped up globalisation and have resulted in remote accesibility to platforms such as social media that have made this cultural exchange boom in recent times possible.
Why it isn't the other options:
It could not be (b) as no forms of trading of commodities or other financial instruments are exchanged during the sharing of musical culture.
It could not be (c) as the spread of foreign culture within an area does not affect the manufacturing of goods and how they are sold between the involved countries.
It could not be (d) as certain procedures relating to the governance of a country( for instance in America)as well as political ideologies did not flourish( in a country say Japan) due to foreign musical acquisition.
Hope this helps!
Elena wants to build a one-sample z interval to estimate what proportion of computers produced at a
factory have a certain defect. She chooses a confidence level of 94%. A random sample of 200 computers
shows that 12 computers have the defect
What critical value z' should Elena use to construct this confidence interval?
Answer:
Z = 1.88
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
94% confidence level
So [tex]\alpha = 0.06[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.06}{2} = 0.97[/tex], so [tex]Z = 1.88[/tex].
The critical z-value elena should use to construct the given confidence interval is; 1.88
We are given;
Confidence level = 94%Sample proportion; p^ = 12/200 = 0.06Sample size; n = 200Formula for confidence intervals of proportion is;
CI = p^ ± z√(p^(1 - p^)/n)
Since we are given Confidence level of 94%, the significance level is;
α = 100% - 94%
α = 0.06
The the z-score will be at the p-value of 1 - α/2
P-value = 1 - (0.06/2) = 0.97
From online p-value from z-score calculator, we have; z-score = 1.88
Read more about confidence intervals at; https://brainly.com/question/16236451
Jody flips a fair coin three times and each time it lands on heads. Jody believes he can calculate the probability of this occurring by adding the probability of getting a head on each individual flip. Explain why this is incorrect.
Answer:
When you have multiple events (here each flip of the coin is a individual event) the probability of all the events (or the joint probability) is equal to the product of the probabilities of each event.
For example, with a fair coin the probability of getting heads is 0.50
If you get heads 3 times, and you add the probabilities you get:
0-50*3 = 1.50
this has no sense, because the probability must be a number between 0 and 1.
The actual probability is:
P = 0.50*050*0.50 = 0.125
Show that all terms of a quadratic pattern are positive
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Any value squared would be positive
(-n)^2 = n^2
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340 students went to the first school dance, the last school dance 306 students attended. What is the percent of change between the two dances?
(Please help
Answer:
10.59%
Step-by-step explanation:
percentage of change is given by
{(old number - new number)/old number} * 100
_________________________
given
no. of student went to the first school dance = 340
no. of student went to the last school dance = 306
Percentage of change between two dance
= ((no. of student went to the first school dance - no. of student went to the last school dance)/ no. of student went to the fist school dance)*100
= (340 - 306)/340 *100
= (36/340 )*100 = 10.59%
The percent of change between the two dances 10.59%.
Calculate x
pls help!!
Answer:
x ≈ 14.3 cm
Step-by-step explanation:
The line from the vertex to the base is a perpendicular bisector, that is
It divides the isosceles triangle into 2 right triangles, with base [tex]\frac{1}{2}[/tex] x
Using the tangent ratio on the left, right triangle, then
tan35° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{5}{\frac{1}{2}x }[/tex] = [tex]\frac{10}{x}[/tex] ( multiply both sides by x )
x × tan35° = 10 ( divide both sides by tan35° )
x = [tex]\frac{10}{tan35}[/tex] ≈ 14.3 cm ( to 1 dec. place )
The point-slope form a line is y-y1 = m(x-x1), where m is the slope and (x1,y1) is a point on the line. true or false ?
The statement is true because
The point-slope form of the equation of a straight line is given as
y - y₁ = m(x -x₁)
m represents slope
and (x₁, y₁) is a point on the line
Point-slope form of a lineFrom the question, we are to determine if the statement is true
The point-slope form of the equation of a straight line is given as
y - y₁ = m(x -x₁)
Where m is the gradient (slope) of the line
and
(x₁, y₁) is a point on the line
Hence, the statement is true
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14+x≤26 solution to the inequality
Answer:
[tex]14+x\leq ≤ 26\\Collect like terms\\x \leq 26-14\\x \leq 12[/tex]
Step-by-step explanation:
The solution to the inequality 14 + x ≤ 26 is x ≤ 12.
To solve the inequality 14 + x ≤ 26, you can follow these steps:
1. Begin by isolating the variable "x" on one side of the inequality.
In this case, subtract 14 from both sides:
14 + x - 14 ≤ 26 - 14
x ≤ 12
2. The solution to the inequality is x ≤ 12.
This means that any value of "x" that is less than or equal to 12 will satisfy the inequality.
Therefore, the solution to the inequality 14 + x ≤ 26 is x ≤ 12.
Learn more about Inequality here:
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Jake made a wooden cone with a diameter of 6 inches and a height of 4.5 inches. What is the volume of this cone?
Answer:
The volume of cone
V = (1/3) x base area x height
= (1/3) x (diameter/2)^2 x pi x height
= (1/3) x (6/2)^2 x pi x 4.5
= 42.41 (in3)
Hope this helps!
:)
Amanda bought two apples and three oranges for a total cost of $3.90. Alex bought 5 oranges and 1 apple for a total cost of $4.75. What is the cost of one orange? PLEASE HELP ME!!
Answer:
1
Step-by-step explanation:
How can you prove these triangles are congruent
Answer:
B
Step-by-step explanation:
Side AB= Side DE
Angle B=90 Angle E=90
Side BC= Side EF
Therefore, they are congruent because of the SAS(Side Angle Side) Postulate.
Help please! :/ I really need it!!
Answer:
the 2nd one
Step-by-step explanation:
Can the three angles 25 65 and 90 create one unique triangle
Answer:
Yes, it can. Triangles [in order for them to be one] must equal 180. If you add all of these angles together, since a triangle only has three angles anyway, it equals to 180, so you know it's a triangle.
If this was confusing, I am happy to help further!
What is the sum of (2a - 3b) and (5b - a)
Answer:
[tex] \boxed{a + 2b} [/tex]
Step-by-step explanation:
[tex] = > (2a - 3b) + (5b - a) \\ \\ = > 2a - 3b + 5b - a \\ \\ = > 2a - a + 5b - 3b \\ \\ = > a + 2b[/tex]
if i have 4 times the money of my brother. our totl is d dollars. how much money do each of us have?
What is the slope of the line that contains the points
(9, 0), (0, 5), and (18, -5)?
Answer:
m = rise / run = 10/18 = 5/9
Step-by-step explanation:
As we move from the point (0, 5) to the point (18, -5), x increases by 18 and y decreases by 10. Thus, the slope, m, is m = rise / run = 10/18 = 5/9.
We could get the same result using the points (0, 5) and (18, -5).
A packing box has the dimensions 3 by 2 by 51
2
feet. What is the volume of the box?
Answer:
3072feet
Step-by-step explanation:
take 3miltiply with 2 multiply with 512 feet then the answer is 3072 feet
Answer:
The area of the base of the box, B, is
✔ 6
ft.2.
The volume of the box is
✔ 33
ft.3.
Step-by-step explanation:
I got it right on Edge
Can someone pls help me
Answer:
No.
Step-by-step explanation:
For figures to be similar, they must have proportional sides.
In other words, we can take a number and use it to scale all the sides.
The small rectangle has a 5 on the bottom side, while the big rectangle has a 15 on the bottom side. The scale factor is 3.
The small rectangle has a 3 on the right side, while the big rectangle has a 6 on the right side. The scale factor is 2.
As the scale factors are not equivalent, the figures are not similar.
HELP!!!
I need help with these probabilities
Step-by-step explanation:
To answer the questions, you must fill out the table.
a=65+48=113
b=157-65=92
c=92+33=125
d=48+33=81
e=157+81=238 or 113+92=238
5. To find the probability of picking a customer that is lactose intolerant, you need to find the total number of lactose intolerant people out of all the people.
81/238 or 34%
6. To find the probability of randomly picking a customer over 30 years old, you find the total number of people over 30 years old out of all the people.
125/238 or 52.5%
7. This problem specifically asks for people that are not lactose intolerant.
Under 30 years old: 65/157 or 41%
Over 30 years old: 92/157 or 59%
Based on these statistics, is it obvious that it is more likely for a customer to me over 30.
A middle school took all of its 6th grade students on a field trip to see a symphony at
a theatre that has 5000 seats. The students filled 3250 of the seats in the theatre.
What percentage of the seats in the theatre were filled by the 6th graders on the trip?
Answer: 65%
[tex]\frac{3250}{5000} * 100 \\13/20 *100 = 65%[/tex]
Step-by-step explanation:
To get the percentage of the seats in the theatre were filled by the 6th graders on the trip,
it will be
[tex]\frac{occupied seats}{total seats} * \frac{100}{1}[/tex]
A building casts a shadow 20 meters long if the angle from the tip of the shadow to the highest point of the building is 69 degrees what is the height of the building?
Answer:
52.1m
Step-by-step explanation:
Please see attachment for explanatory diagram.
From the diagram:
Opposite = H
Adjacent = 20m
Angle θ = 69°
The height, H of the building can be obtained as follow:
Tan θ = Opp /Adj
Tan 69 = H/20
Cross multiply
H = 20 x Tan 69
H = 52.1m
Therefore, the height of the building is 52.1m
18 = 3b
solve for 3b (30 points)
Answer:
b = 6
Step-by-step explanation:
18 = 3b
3b = 18
b = 18/3
b = 6
Answer:
6
Step-by-step explanation:
divide 18 by 3 you will get the answer 6
Verify the identity
cosx/1-sinx=secx+tanx
Answer:
Step-by-step explanation:
Drag and drop the options mentioned before each box and that will give you perfect solution:
first box: third option
2nd box: 7th option
3rd box: 4th option
4th box: 1st option
5th box: 6th option
Someone please help me
Answer:
The slope is 2
Step-by-step explanation:
Slope = (y2-y1)/(x2-x1)
= (1 - (-5)) / (2 - (-1))
= (1+5) / (2+1)
=6/3
= 2
What is the circumference of a circle with a diameter of 4.2 cm?
Answer:
it would be C≈13.19cm
hope this helps :)
50 POINTS! Carol is designing an artistic picture frame, which she wants to sell online. The picture frame will be square, but will come in several different sizes. She plans to place decorative stones around the outside of the picture frame. Carol’s first step was creating this prototype frame. (The first picture attached) You will be helping Carol form expressions that will tell her the number of stones she’ll need to order for each frame.
Part A:
How many stones make up the perimeter of the prototype picture frame? Perimeter is usually calculated by adding the length of each side of a shape. In the prototype, there are four stones per side. If we try to find the total number of stones in the frame by adding the number of stones per side, we’ll get an incorrect total. Why?
Part B:
Suppose that s equals the number of stones on one side of the picture frame. Write an expression that would give the number of stones in the top and bottom sides together.
Part C:
Write an expression in terms of s that represents the remaining stones. (The second attached picture) Write an expression in terms of s that represents the remaining stones.
Part D:
Now combine the two expressions you wrote in parts b and c by adding them together. What does the expression formed by this operation represent?
Answer: 12 stones
Step-by-step explanation:
The side of the length will be x = √m square inches.
What is the area of square and a rectangle?The area of the square and rectangle is -
Square = [x]² {x is the side of a square]
Rectangle = L x B {L is the length and B is breadth}
here, we have,
Given is Lisa who is decorating outside edge of a square picture frame. She needs to know the side length of the frame. The area of the frame is [m] square inches.
It is given that the the area of the square is [m] square inches.
Assume that the length of the side is [x] inches.
x² = m
x = ±√m
Side cannot be negative.
Therefore, the side of the length will be - x = √m
Therefore, the side of the length will be x = √m square inches.
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If the Area of a Triangle is 24 inches squared, and the Base measures 4 inches, what must be the height?
Answer:
12 inches tall. Remember the conversion equations!!!!
Step-by-step explanation:
H = 1/2 Base divided by Area
1/2 of 4 = 2 (2/4 = 2)
2 ÷ 24 = 12
A drama club is planning a bus trip to New York City to see a Broadway play the cost per person for the bus rental varies
Mine is filling her fish tank. Water flows into the tank at a constant rate. Complete the table as you answer the questions (which I did). In one minute the gallons that fill up is 1.6. What is the constant proportionality..?
Answer:
2.12
Step-by-step explanation:
Question 29 A football coach walks 12 meters westward, then 16 meters eastward, then 22 meters westward, and finally 6 meters eastward. For this motion, what is the distance moved? What is the magnitude and direction of the displacement?
Answer: 56m ; 12m
Step-by-step explanation:
A football coach walks 12 meters westward, 16 meters eastward, 22 meters westward, and then 6 meters eastward. The total distance moved will be: 12m + 16m + 22m + 6m = 56 metres.
The displacement will be:
12i + 16i - 22i + 6i
= 34i - 22i
= 12m west
Answer:
Distance moved is 56 metersThe magnitude and direction of the displacement is 12 meters eastwardStep-by-step explanation:
Distance is scalar quantity and as such it has only magnitude and no direction.
The distance moved by the coach is calculated as;
distance = 12 meters + 16 meters + 22 meters + 6 meters
distance = 56 meters
Again, we determine the magnitude and direction of the displacement.
Displacement is a vector quantity and as such it has both magnitude and direction.
let westward represent positive direction, and
eastward represent negative direction
Displacement = 12 meters westward - 16 meters eastward + 22 meters westward - 6 meters eastward
Displacement = 12 meters eastward