Answer:
B) $19,865.03
Step-by-step explanation:
Continuous Compounding Formula
[tex]\large \text{$ \sf A=Pe^{rt} $}[/tex]
where:
A = Final amountP = Principal amountr = annual interest rate (in decimal form)t = time (in years)Given:
P = $8,540r = 6.03% = 0.0603t = 14 yearsSubstituting given values into the formula and solving for A:
[tex]\large \implies \text{$ \sf 8540e^{0.0603 \times 14}=19865.03215 $}[/tex]
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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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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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!!
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
square root of 46 to the nearest integer
Answer:
7
Step-by-step explanation:
An integer can be a whole number or a whole negative number. 6.782 is the answer but because we have to put it into an integer I rounded it to 7.
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
how can I solve this question?
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.
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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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.
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
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.
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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Which number is a solution of the inequality
x < 8.7
Answer:
Given the inequality, any number that is less than 8.7 (not including 8.7) would fall into the category of a solution for this inequality. So 8, 1, -41, 0.3 are all solutions as well as an infinite amount of other solutions.
Hope this helps! Let me know if you have any questions
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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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%
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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Given m∥n, find the value of x and y.
Answer:
x = 15
y = 63
Step-by-step explanation:
9x - 7 + 4x - 8 = 180
13x = 195
x = 15
9x - 7 = 2y + 2
126 = 2y
y = 63
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
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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Bryan went to mexico and exchanged 150 US dollars for 3000 mexican pesos. How many pesos did he receive per US dollar?
20
Step-by-step explanation:
you do 3000 divided by 150
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:
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.
Someone please help me, I’m completely lost
Answer:
The answer is B, 396 square units.
Step-by-step explanation:
We can separate the figure into five individual polygons and sum up their areas to find the total surface area of the figure.
The base of the figure is 8*12 = 96.
The rectangle at the back of the figure is 8*9 = 72.
To find the area of the rectangle on top, we need to first find second side length. To do this, we use the pythagorean theorem (a^2 + b^2 = c^2) on the right triangle, so 9^2 + 12^2 = c^2 --> 225 = c^2 --> c = 15. Next, we find the area of the rectangle which is 8*15 = 120.
The area of the triangle to the side is 1/2*12*9 (9 is height because it's a right triangle) = 54, so the area of both triangles is 54*2 = 108.
Now we sum up the areas: 96 + 72 + 120 + 108 = 396
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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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
Which statement best explains why the solutions of this quadratic equation are irrational?
The solution of the quadratic equation is irrational because 11² - 4*3*9 is not a perfect square.
What is an irrational quadratic equation?An irrational quadratic equation is an equation that contains two irrational solutions making the equation not to be able to be solved through factorisation.
Using the quadratic equation formula to solve, the irrational solutions are gotten below,
X = -b +√b²- 4ac/2a
where a = 3; b= 11 ; C = 9
X = -3+√11²-4*3*9/2*3
X= -3+√ 121-108/6
X= -3 +√13/6
X =-3/6 +√13/6
X= -1/2 + √13/6
Therefore,X = -1/2 +√13/6 or
X = -1/2 - √13/6
The solution are two irrational numbers that are not prefect squares.
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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]
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
5w + 9z = 2z + 3w solve for W
Answer:
w=-7/2z
Step-by-step explanation:
just ask
Step-by-step explanation:
[tex]5w + 9z = 2z + 3w[/tex]
[tex]5w - 3w = 2z - (9z)[/tex]
[tex]2w = - 7z[/tex]
[tex]w = - 7z \div 2[/tex]
[tex]w = - 7z \times \frac{1}{2} \\ [/tex]
[tex]w = - \frac{7}{2} z \\ [/tex]
