Answer:
$ 8055.19
Step-by-step explanation:
interest per period .05 /2 = .025
periods = 20 * 2 = 40 periods
3000 ( 1+.025)^40 =
how can I solve this question?
Collection of domestic animals is a set. However, a collection of big domestic animal is not a set. How do you justify this statement?
Collection of domestic animals is a set. However, a collection of big domestic animal is not a set as it is a subset.
What are Domesticated animals?Domestic animals are known to bee dogs, cats, etc. that can live along with humans.
Note that Collection of domestic animals is a set but the collection of big domestic animal is a subset of domestic animals this is because the big domestic animal are part of the domestic animals and as such it will be a subset.
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A plumber charges $45 for the first hour and $30 for each additional hour. How much does he charge if it takes him 4 hours to a repair?
Answer:
135
Step-by-step explanation:
45+30+30+30
42 of the 50 coffee mugs at Nicole's Pancake House are dirty. What percentage of the
coffee mugs at the pancake house are dirty?
Answer:
84%
Step-by-step explanation:
of the means division.
42/50 = 84/100 = 84%
The percentage of the dirty coffee mugs at the pancake house will
be 84%.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
Total number of coffee mugs = 50
Dirty coffee mugs = 42
Now,
The percentage of the dirty coffee mugs at the pancake house is calculated as;
Percent = 42 / 50 x 100
= 0.84 x 100
= 84%
Thus, The percentage of the dirty coffee mugs at the pancake house will
be 84%.
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A motorcycle that regularly sells for 1,450 was discounted by 40% off
Answer:
$870.00 is the motorcycle price after a 40% discount
Step-by-step explanation:
discount = original price x discount % / 100
discount = 1450 x 40 / 100
discount = 1450 x 0.4
discount = $580.00
Final Price = Original Price - Discount
Final Price = 1450 - 580
Final Price = $870
verify the identity
tan 0-cot 0 / tan 0 + cot 0 (not on the same line) + 2cos^2 0=1
Answer:
See below for the proof of the identity
Step-by-step explanation:
I read your statement as [tex]\displaystyle \frac{\tan\theta-\cot\theta}{\tan\theta+\cot\theta}+2\cos^2\theta=1[/tex]:
[tex]\displaystyle \frac{\tan\theta-\cot\theta}{\tan\theta+\cot\theta}+2\cos^2\theta\\\\\frac{\frac{\sin\theta}{\cos\theta}-\frac{\cos\theta}{\sin\theta}}{\frac{\sin\theta}{\cos\theta}+\frac{\cos\theta}{\sin\theta}} +2\cos^2\theta\\\\\frac{\frac{\sin^2\theta-\cos^2\theta}{\sin\theta\cos\theta}}{\frac{\sin^2\theta+\cos^2\theta}{\sin\theta\cos\theta}} +2\cos^2\theta\\\\\frac{\frac{\sin^2\theta-\cos^2\theta}{\sin\theta\cos\theta}}{\frac{1}{\sin\theta\cos\theta}} +2\cos^2\theta[/tex]
[tex]\displaystyle \sin^2\theta-\cos^2\theta+2\cos^2\theta\\\\\sin^2\theta+\cos^2\theta\\\\1[/tex]
Thus, the identity is proven.
Find the surface area
Answer:
200.96
Step-by-step explanation:
2(3.14)2^2 + 2(3.14)2*14
8*3.14 = 25.12
56*3.14 = 175.84
175.84 + 25.12 = 200.96
7. Choose the correct equation for the statement:
When the sum of 3 consecutive even integers is divided by 6, the quotient is 8.
A
3n+3
=
= 8
6
B
3n+6+6=8
I
3n+6
= 8
6
n+n+2+n+4:6=8
Let's see
The integers be
nn+2n+4So their sum
n+n+2+n+4Divided by 6
n+n+2+n+4/6Tune down into ratio
n+n+2+n+4:6Put final equation on line
n+n+2+n+4:6=8Spare equations
3n+6:6=8The correct equation for the statement: 3n+6:6=8
What is Algebra?Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.
Let the three consecutive integers be
nn+2n+4So their sum
n+n+2+n+4
and,
=n+n+2+n+4/6
=(3n+6)/6
= (n+2)/6
Hence, correct equation for the statement: 3n+6:6=8
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Corbin made a scale model of the San Jacinto Monument. The monument has an actual height of 604 feet. Corbin's model used a scale in which 1 inch represents 100 feet. What is the height in inches of Corbin's model?
The height of Corbin's model given the actual height of the monument and the scale of the model is 6.04 inches.
What is the height of the model?A scale model is smaller representation of a bigger object / drawing. The scale model is reduced by constant dimensions.
The height of Corbin's model = 604 / 100 = 6.04 inches
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The parent teacher association is raising money for a new swing set. They need $682.56 to purchase the swing set and receive a $200.00 donation. The remaining amount will be equally divided among 8 different student groups to raise. How much money will each student group need to raise in order to purchase the swing set? Record your answer to the hundredths place.
Answer:
Total amount to be raised by the 8 student groups = Total amount required - Donation = $682.56 - $200.00 = $482.56Amount to be raised bu each group ...
Step-by-step explanation:
Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a parallelogram? coordinate plane with quadrilateral ABCD at A 0 comma 0, B 5 comma negative 1, C 3 comma negative 5, and D negative 2 comma negative 4
The correct statement is to Prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals.
What is a quadrilateral?A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.
The statement that explains how you could use coordinate geometry to prove that quadrilateral ABCD is a parallelogram is "Prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals".
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I need a answer quick!
Answer:
I normally just plug these into desmos.
Step-by-step explanation:
Last one! I promise brainliest!
Step-by-step explanation:
1. You have to find the gradient / slope from y = 5x + 20
y = 5x + 20
y = mx + c
With using a general form, we known that the gradient of the line is 5.
2. Use the formula "[tex]y - y_1 = m.(x - x_1)[/tex]" to find the line.
[tex]y - y_1 = m.(x - x_1)[/tex]
[tex]y - 10 = 5.(x - 0)[/tex]
[tex]y = 5x - 0 + 10[/tex]
[tex]y = 5x + 10[/tex]
Answer:
y = 5x + 10.
Step-by-step explanation:
Y = 5x + 20
The gradient m = 5
So the line parallel to it has a gradient of 5 also.
Using the point slope form of straight line:
y - y1 = m(x - x1)
Here, m = 5, x1 = 0 and y1 = 10:
y - 10 = 5(x - 0)
y - 10 = 5x
y = 5x + 10.
Drag each line to the correct location on the image. Not all lines will be used.
Match the lines of best fit to the scatter plots.
Answer:
I am not sure if this is correct but:
Step-by-step explanation:
60 students study a language at a school.
Each student either studies French or German.
36 of the students are boys.
2/3 of the boys study French
40 students study French
Use this information to complete the frequency tree
How to fill the frequency tree?
The number of girls = total number of students - total number of boys
60 - 36 = 24
The number of boys that study French = 2/3 x 36 = 24
The numbber of boys that study German = 36 - 24 = 12
The number of girls that study French = 40 - 24 = 16
The number of girls that study German = 24 - 16 = 8
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check the attachment pls.
Answer:
60 degrees
Step-by-step explanation:
Vertical angles are angles opposite of each other created by intersecting lines.
Vertical angles are always congruent ( equal ) to each other.
So if an angle has a measure of 60 degrees then its vertical angle would also have a measure of 60 degrees
Answer:
60°
Step-by-step explanation:
Vertical angles are angles of the same measure.
One of the vertical angles is 60°. Therefore, the other angle must be 60°.
Hope this helps!!!
Please give me brainliest!!!
I only need one more brainliest for Virturoso so please give me brainliest
solve for x (x+3)^2=36
Answer:
x is about 1.6587 (do the curved equal sign)
Step-by-step explanation:
Checked with symbolab,
So you expand x(x+3)^2
Then -36 from both sides
Then simplify
Then find one solution to x
Then Use long division to get your answer.
A snail can move 5 inches in 6 minutes. At this rate, how many feet can it move in 48 hours?
A. 40
B. 3
C. 200
D. 11
Answer:
Hi the answer is A. 40
Micky can clean a house in 3 hours. Denise can clean the same house in 9 hours. How long will it take them to clean the house if they work together
Answer:
9 - 3 = 6.
Therefore, the answer equals to 6 hours .
I hope this helps :))
Step-by-step explanation:
A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 8.5 ft by 15 ft by 14 ft. If the container is entirely full and, on average, its contents weigh 0.05 pounds per cubic foot, find the total weight of the contents. Round your answer to the nearest pound if necessary
Answer:
empezando multiplicar todos los números seria un total de 1785 que lo pondremos con m3 que un metro cubico seria 1000L entonces con los 1785 los ponemos por 1 000
Step-by-step explanation:
respuesta 1 785 000
if p= the price of a pair of basketball shoes, which algebraic expression represents the phrase below? the difference of the price of the shoes and 5 dollars
Answer:
$p - $5
or just p - 5
Step-by-step explanation:
I hope this helps
he original price of a car was $28,500. Its current price is $25,875. What percent did the price of the car decrease?
Answer:
90.78%
Step-by-step explanation:
So the 100% value of the car=$28500
We don't know the percentage ?% =$25875
So 25875/28500×100=90.78%
select the correct answer. The curved sides of large storage tanks at a refinery need to be painted. What is the approximate area of each tank that will be painted?
The approximate area of each tank that will be painted is 2287.08 ft².
How to find the lateral surface area of a cylinder?The lateral surface area of a cylinder is also called the curved surface area of the cylinder.
Suppose that:
Radius of the considered cylinder = 'r' unitsHeight of the considered cylinder = 'h' unitsThen, the lateral surface area of that cylinder is:
[tex]S_L = 2\pi r h \: \rm unit^2[/tex]
The missing image is attached below.
The tank is cylindrical in shape.
For this case, we've got:
Diamter of the considered cylinder = d = 28 ftHeight of the considered cylinder = h = 26 ftRadius = half of diameter = 28/2 = 14 ft
Thus, the curved surface area of each of such tanks is:
[tex]S_L = 2\pi r h = 2\pi (14)(26) = 728\pi \approx 2287.08 \: \rm ft^2[/tex]
Thus, the approximate area of each tank that will be painted is 2287.08 ft².
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Answer: 2287.08 ft²
Step-by-step explanation: Correct for plato/Edmentum
Rewrite the following in the form log(c)
log(6)−log(3)
Explanation:
The rule to use here is log(x)-log(y) = log(x/y)
So,
log(6)-log(3) = log(6/3) = log(2)
Answer:
log(2)
Step-by-step explanation:
As we have,
log(a)−log(b)=log(a/b)
Replace 'a' as 6 and 'b' as 3.
Then we get,
[tex]\hookrightarrow log(6)-log(3)\\\\\hookrightarrow log(\frac{6}{3} )\\\\\hookrightarrow log(2)[/tex]
An architect is designing a slanted ramp that connects to a loading dock. The vertical distance between the ground and the loading dock is 5 feet. The ramp meets the ground at a 15° angle. How far is the base of the ramp from the base of the loading dock?
1.34 feet
4.38 feet
5.84 feet
18.66 feet
Answer:
5.84 feet hope this help you!!
need help please, I dont exactly get how to do this. Thank you!
Answer:
122
Step-by-step explanation:
180 degrees is in a triangle
180- 45-15= 122
thats how you get your answer
. you subtract the two points from 180 to get the missing point
- AKIA
31. The vector i represents 1 mile per hour east, and the
i
vector j represents 1 mile per hour north. Maria is
jogging south at 12 miles per hour. One of the
following vectors represents Maria's velocity, in miles
per hour. Which one?
A. -12i
B. -12j
C. 12i
D. 12j
E. 12i + 12j
Answer:
B
Explanation:
The north is opposite to the south
So the vector [tex]j[/tex] represents 1 mile per hour south.
Maria is jogging south at 12 miles per hour.
Therefore, the vectors [tex]12j[/tex] represents Maria's velocity. The correct answer is B.
The vector used to represent the position of Maria is -12j.
What is Vector?A measurement with a magnitude and direction. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity. A vector does not have position, while having magnitude and direction.
Given:
vector i represents 1 mile per hour east
and, vector j represents 1 mile per hour north
Now, the position of north is opposite to south
Now, Maria is jogging south at 12 miles per hour.
So, the vector used to represent the position of Maria is -12j.
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There are different ways to represent 2 2/3 Select the three choices below that represent 2 2/3
Answer: both of the bars and number line equal 2 2/3
Step-by-step explanation:
The answer is choice A, B, and C.
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 86 m long and 54 m wide.
Find the area of the training field. Use the value 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
The area of the training field will be 6933.06 square meters.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 86 m long and 54 m wide.
Then the area of the training field will be
Area = area of a rectangle + area of a circle
Then we have
Area = 86 x 54 + 3.14 x 27 x 27
Area = 4644 + 2289.06
Area = 6933.06 m²
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Last year, the personal best high jumps of
track athletes in a nearby state were
normally distributed with a mean of
208 cm and a standard deviation of
19 cm What is the probability that a
randomly selected high jumper has a
personal best between 227 and 265 cm?
Using the normal distribution, it is found that there is a 0.84 = 84% probability that a randomly selected high jumper has a personal best between 227 and 265 cm.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by:
[tex]\mu = 208, \sigma = 19[/tex]
The probability that a randomly selected high jumper has a personal best between 227 and 265 cm is the p-value of Z when X = 265 subtracted by the p-value of Z when X = 227, hence:
X = 265:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{265 - 208}{19}[/tex]
Z = 3
Z = 3 has a p-value of 0.9987.
X = 227:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{227 - 208}{19}[/tex]
Z = 1
Z = 1 has a p-value of 0.1587.
0.9987 - 0.1587 = 0.84.
0.84 = 84% probability that a randomly selected high jumper has a personal best between 227 and 265 cm.
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