Answer:
[tex]V =288 \pi \ mm^3[/tex]
Step-by-step explanation:
[tex]V =\frac{4}{3} \pi r^{3}[/tex]
[tex]=\frac{4}{3} \pi \left( 6\right)^{3}[/tex]
[tex]=\left( \frac{4}{3} \right) \times \pi \times 216[/tex]
[tex]=\left( \frac{4}{3} \right) \times 216\times \pi[/tex]
[tex]=288\times \pi[/tex]
Answer:
IT IS B
Step-by-step explanation:
SOURCE: TRUST ME BRO
You plan on making a $235.15 monthly deposit into an account that pays 3.2% interest, compounded monthly, for 20 years. at the end of this period, you plan on withdrawing regular monthly payments. determine the amount that you can withdraw each month for 10 years, if you plan on not having anything in the account at the end of the 10 year period and no future deposits are made to the account. a. $769.27 b. $767.23 c. $78,910.41 d. $79,120.84
Based on the calculation below, the amount that can be withdrawn each month for 10 years is a. $769.27.
Calculation of monthly withdrawFirst, we calculate the future value (FV) of the amount after 20 years using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:
FV = A * (((1 + r)^n – 1) / r) ................................. (1)
Where,
FV = Future value of the amount after 20 years =?
A = Monthly deposit = $235.15
r = Monthly interest rate = 3.2% / 12 = 0.00266666666666667
n = number of months = 20 * 12 = 240
Substituting the values into equation (1), we have:
FV = $235.15 * (((1 + 0.00266666666666667)^240 – 1) / 0.00266666666666667) = $78,910.41
The amount planned to be withdrawn on monthly basis can be calculated using the formula for calculating the present value (PV) of an ordinary annuity as follows:
P = PV / ((1 - (1 / (1 + r))^n) / r) …………………………………. (2)
Where;
P = Monthly withdrawal or payment = ?
PV = Present value = FV calculated above = $78,910.41
r = Monthly interest rate = 3.2% / 12 = 0.00266666666666667
n = number of months = 10 * 12 = 120
Substitute the values into equation (2), we have:
P = $78,910.41PV / ((1 - (1 / (1 + 0.00266666666666667))^120) / 0.00266666666666667) = $769.27
Therefore, the amount that can be withdrawn each month for 10 years is $769.27.
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The answer is A: $769.27
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Have a great day and God bless! :D
Please Help Giving Brainlist!!!!! Given that the area of rectangle IJKL is 490 units^2, what are its length and width?
Answer:
Option 4
Step-by-step explanation:
Equating given length and width to the area :
8x(5x) = 49040x² = 490x² = 490/40x² = 12.25x = 3.5Finding the dimensions :
length = 8x = 8(3.5) = 28 unitswidth = 5x = 5(3.5) = 17.5 unitsDoes anybody know this? I got told it was 828.8 by someone and it was wrong.Find the surface area of the square pyranid
Answer:
800 ft²
Step-by-step explanation:
The total surface area of a square-base pyramid is given by the formula ...
A = s(s +2h) . . . . . . where s is the side length, h is the face slant height
In this problem, we need to find the slant height of a face in order to use this formula.
__
slant heightThe distance from the middle of one edge of the base to the peak of the pyramid is the slant height of a face of the pyramid. It is the hypotenuse of a right triangle whose legs are the pyramid height, and half the width of the base. For this pyramid, that is a right triangle with legs 15 and 8.
The Pythagorean theorem is used to find the hypotenuse of that triangle:
c² = a² +b² . . . . square of hypotenuse = sum of squares of legs
c² = 15² +8² = 225 +64 = 289
c = √289 = 17
The slant height of a face of the pyramid is 17 ft.
total areaThe area formula tells us the total surface area is ...
A = s(s +2h)
A = (16 ft)(16 ft + 2×17 ft) = (16 ft)(50 ft)
A = 800 ft²
The total surface area is 800 square feet.
Simplify these four questions
Answer:
a. 5a + 3b-5
b. 4e^2 + f^2 + f
c. 42xy(z)^2
d. 7x(y)^2
Step-by-step explanation:
I added/subtracted/multiplied/divided like terms.
Find a function y of x such that 2yy′=x and y(2)=6
Answer:
[tex]y=\sqrt{\frac{x^{2}}{2} +34}[/tex]
Step-by-step explanation:
[tex]2y\left( x\right) y^{\prime }\left( x\right) =x[/tex]
[tex]\Longrightarrow \int 2y\left( x\right) y^{\prime }\left( x\right) dx=\int x\ dx[/tex]
[tex]\Longrightarrow y^{2}\left( x\right) =\frac{x^{2}}{2} +c\ \text{(c is a constant)}[/tex]
[tex]y\left( 2\right) =6\Longleftrightarrow y^{2}\left( 2\right) =36[/tex]
[tex]y^{2}\left( 2\right) =36\Longleftrightarrow \frac{\left( 2\right)^{2} }{2} +c=36\ \Longleftrightarrow c=34[/tex]
[tex]\Longrightarrow y\left( x\right) =\pm\sqrt{\frac{x^{2}}{2} +34}[/tex]
Alfred is building a slide for a new park. He wants the height of the slide to be 8 feet, and he wants the horizontal distance along the ground to measure 10 feet.
After building the slide, Alfred decides the slide needs a vertical safety support and wants to use a 4-foot piece of wood to build the support. How far from the point where the base of the slide meets the ground should Alfred place the vertical support?
A: 20 Feet
B: 1.3 Feet
C: 5 Feet
D: 4 Feet
Answer:
5ft
Step-by-step explanation:
8/10=0.8
4/0.8=5
Due to its weakening steel industry, Clay County has been experiencing population decline of 3% every year. The current population is 10,300 people. Assuming the trend continues, what will the population be in 10 years?
Using an exponential function, it is found that the population of Clay County will be of $13,482.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem, the current population is 10,300 people, with a growth rate of 3%, hence A(0) = 10,300 and r = 0.03.
The equation is given by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 10300(1 + 0.03)^t[/tex]
[tex]A(t) = 10300(1.03)^t[/tex]
Hence, in 10 years, the population will be given by:
[tex]A(10) = 10300(1.03)^{10} = 13842[/tex]
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Answer: 7,595
Step-by-step explanation:
ixl
#53. will give the best answer brainliest
Answer:
8x4-2x2+7
Step-by-step explanation:
it's 100 percent right trust me
I need help with this assignment!
The area of the reflective material is: 284 square yards.
What is a rectangle?A rectangle is a quadrilateral with four sides and four right-angles.
it has two lines of symmetry.
Analysis:
To find the area of the reflecting material we find the area of the following shapes: trapezium + rectangle + triangle
bigger base of trapezium = 2 + 6 + 2 = 10 yard
smaller base of trapezium = 6
length of rectangle = 18 yard
width of rectangle : 2+6+2 = 10 yard
base of triangle is = 10 yard
Area of reflective material = 1/2(6+10) + 18x10 + 1/2(10)(8) = 284 square yards
In conclusion, the area of reflective material is : 284 square yards.
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In circle R, RS = 12 and m/SRT = 90°. Find the length of ST. Express your
answer as a fraction times 7.
R
T
S
Answer:
[tex]l(\widehat {ST})=6\pi [/tex]
Step-by-step explanation:
Radius (r)= RS = 12 (Given)[tex] Central\: angle \:(\theta) = m\angle SRT =90\degree[/tex] (Given)To find: [tex]l(\widehat {ST})[/tex]Formula for finding the length of arc is given as:[tex]l(\widehat {ST})=\frac{\theta}{360\degree}\times 2\pi r[/tex][tex]l(\widehat {ST})=\frac{90\degree}{360\degree}\times 2\pi (12)[/tex][tex]l(\widehat {ST})=\frac{1}{4}\times 24\pi [/tex][tex]l(\widehat {ST})=6\pi [/tex]The required length of an arc ST is 6π units which is subtended by an angle.
What is an arc?The arc is a portion of the circumference of a circle.
The formula for calculating the arc states that:
Arc length = 2πr (θ/360)
Where r = the radius of the circle,
θ = the angle (in degrees) subtended by an arc at the center of the circle.
As per the question, we have:
θ = 90° and r = 12 units
Substitute the given values in the formula,
Arc length = 2π(12) (90/360)
Arc length = 6π
Therefore, the required length of an arc ST is 6π units.
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89 +500= 589 because if you add 500 + 89 and you get 589 or you can subtract 89 from 500
Answer: Second statement is false
Step-by-step explanation: You cannot subtract 89 from 500 and get 500. You get 411.
Which function rule represents the best line of fit for the data in the plot?
Answer:
f(x) = -1/2x + 8
or
The first one
Step-by-step explanation:
hope this helps
have a good day
i cannot understand this AT ALL (would be glad to have an explanation)
hmmm well, don't be so hmmm off due to it, the wording in the exercise sux0rs bad, is very poorly worded and laid out.
if X and Y are numbers, hmmm say let's give them hmmm ohhh X = 7 and Y = 13.
And X and Y are also complete cubes, well, let's make them so, X = 7³ and Y = 13³.
which of those expressions are complete cubes, or namely, something that we can write as a number with a "3" in the exponent, let's check each one.
[tex]\begin{array}{ll|l|l|lllll} 8X&\implies 8\cdot 7^3& 2^3\cdot 7^3& (2\cdot 7)^3& 14^3 ~~ \checkmark\\&&&&\\ X,Y&\implies 7^3,13^3 ~~ \checkmark&&\\&&&&\\ -X&\implies -7^3~~ \checkmark&&\\&&&&\\ 27XY&\implies 27\cdot 7^3\cdot 13^3& 3^3\cdot 7^3\cdot 13^3& (3\cdot 7\cdot 13)^3& 273^3~~ \checkmark\\&&&&\\ XY+27&\implies 7^3\cdot 13^3+27&(7\cdot 13)^3 + 3^3&&91^3+3^3 ~~ \bigotimes \end{array}[/tex]
what's wrong with the last one? well, if we were to add 91³ + 3³ = 753598. Now, is 753598 a complete cube? well, only if we could write it as a whole number with a "3" above, can we? nope.
we can simply check that by getting the 3rd root of that value,
[tex]\sqrt[3]{753598}\approx 91.00108681228277\impliedby \textit{not a complete cube}[/tex]
Write the quadratic equation whose roots are 4 and -2 and whose leading coffecient is 2
Answer:
[tex]y=2x^2-4x-16[/tex]
Step-by-step explanation:
Factored form of a quadratic equation:
[tex]y=a(x-r_1)(x-r_2)[/tex]
where:
a is the leading coefficient[tex]r_1[/tex] and [tex]r_2[/tex] are the rootsGiven:
[tex]a = 2[/tex][tex]r_1=4[/tex][tex]r_2=-2[/tex]Substitute the given values into the formula and expand:
[tex]\implies y=2(x-4)(x-(-2))[/tex]
[tex]\implies y=2(x-4)(x+2)[/tex]
[tex]\implies y=2(x^2+2x-4x-8)[/tex]
[tex]\implies y=2x^2-4x-16[/tex]
Full explanation please
Interior and Exterior Triangle Angles (1/5)
Will mark brainlist to you ever answers first
Answer:
∠N = 21
Step-by-step explanation:
Angle sum propertySum of all angles of triangle = 180°
4x - 13 + 2x - 13 + 5x + 19 = 180
4x + 2x + 5x -13 - 13 + 19 = 180
Combine like terms
11x - 7 = 180
11x = 180 + 7
11x = 187
x = 187/11
x = 17
m∠N = 2x - 13
= 2*17 - 13
= 34 - 13
= 21
a roll of netting measures r metres.ryan bought 1/4 of a roll and trimmed 2 metres of the netting.he had 5 meters of netting left.how long was the original role of the netting before Ryan bought it
Answer:
28 m
Step-by-step explanation:
full roll length: r
Ryan bought: r/4
He trimmed 2 m: r/4 - 2
Length left: 5
r/4 - 2 = 5
r/4 = 7
r = 28
Answer: 28 m
Solve log (5x+7)=log(8x-2)
Simplify.
- (u+5)+5 (2u-5)
Answer:
Step-by-step explanation:
-u-5+10u-25=9u-30
it was easy.
What is the median in the box plot?
Answer:
The answer is 76.
Step-by-step explanation:
The median would be the middle number in a box and whisker plot.
is 1.010010001 rational
Answer:
Yes, 1.010010001 is rational
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Answer:
yes, 1.010010001 is rationalStep-by-step explanation:
A rational number has the form p q, where p and q are integers, q* 0 otherwise it is an irrational number.
Calculator
What is the length
YX₂
Enter your answer as a decimal in the box. Round your final
answer to the nearest hundredth.
m
of
9m
19 m
A•
X
N
Answer:
1. You can solve this problem by applying the Tangent Secant Theorem. Then, you have:
YX²=(YZ)(YV)
YX=√(YZ)(YV)
YZ=9+19
YV=9
2. When you substitute the values of YZ and YV into YX=√(YZ)(YV), you obtain:
YX=√(YZ)(YV)
YX=√(9+19)(9)
YX=√(28)(9)
YX=√252
YX=15.87
What is the length of YX?
The answer is: The lenght of YX is 15.87
Type the correct answer in the box. use numerals instead of words. for this question, any non-integer answers should be entered as decimals, rounded to the hundredths place. consider this data set. 25.5 26 18.2 15.3 28.5 27 20.7 20.2 26.1 18.2 21.4 17.9 24.3 22.6 19.6 the mean of the data set is , and the sample proportion of numbers less than the mean is %.
The mean of the data set is 22.1
The sample proportion of numbers less than the mean is %53
Calculations and Parameters:To find the mean,
We would sum the numbers and then divide them by the number of data.
25.5 + 26 + 18.2 + 15.3 + 28.5 + 27 + 20.7 + 20.2 + 26.1 + 18.2 + 21.4 + 17.9 + 24.3 + 22.6 + 19.6
= 331.5
331.5/15= 22.10.
To find the proportion of numbers, we would order them:
15.3
17.9
18.2
18.2
19.6
20.2
20.7
21.4
---------
22.6
24.3
25.5
26
26.1
27
28.5
The discontinuous line shows the split of the data that are less than the mean.
Those data are 8 in number and their proportion is:
8 / 15
= 0.53
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The exchange rate of mexican pesos for u.s. dollars is approximately 10 pesos for 1 dollar. if lynn exchanged 4,000 pesos for u.s dollars, what was the approximate value in u.s.dollars
400 dollars
4000/10=400 dollars
help me with this question please! it’s VERY URGENT and i dont know where to begin with❗️
Answer:
[tex] |x|1 | \: 2 | \: 3 | \: 4 | \: 5 | \\ |y| 5| \: 4 \: | 3 \: | 2 | 1| [/tex]
Step-by-step explaination:
We were told that:
[tex] x + y = 6 [/tex]
therefore to see if it is correct you can just input the values for x and y and see if they add up to 6 (add the vertical values). For example;when x = 1, y = 5 or when x = 2, y = 4
PLS HELP PLS
How many days were less than 84°?
Answer:
D
Step-by-step explanation:
the number of days for 80 - 82 is 7 and the number of days for 82-84 is 9. Those are the only temperatures below 84 degrees, so you add them and get 16 :)
0.025 / 0.08 how do you do it so can you explain the steps
Answer:
5 / 16
Step-by-step explanation:
For a question such as this, we most often simply use a calculator. However, I suppose that to do this by hand you would do as follows:
0.025 / 0.080
= 0.005 / 0.016
= 100 * (0.005 / 0.016)
= 5 / 16
The first step is a simplification. Both the numerator and denominator are divisible by 0.005. In the next step, we can multiply the numerator and denominator both by 100 to get whole numbers. Because we multiply each by the same number, we have not changed the value of the original fraction. This leaves us with 5 / 16.
Done
Find the equation of the line.
Use exact numbers.
y
y
8-
7
6+
-9-8-7-6-5-4-32
2 3 4 5 6 7 8 9
-27
-3
-4
-5
-6
-8
Answer:
Could you possible line the numbers up a little bit, it'd be better to understand that way.
help pleaseeeeeee. i don’t onowww
in an exponential expression, the rate of change is usually the parenthesized expression, namely on y = a(b)ˣ, the rate will be "b", so in this case the rate is just ∛24
[tex]\sqrt[3]{24} ~~ \begin{cases} 24=2\cdot 2\cdot 2\cdot 3\\ \qquad 2^3\cdot 3 \end{cases}\implies \sqrt[3]{2^3 \cdot 3}\implies 2\sqrt[3]{3}[/tex]
Solve:
2x-1/x+4 is greater than or equal to 0
The solution range of the given inequality is (-∞, -4.121) and (0.121,∞)
How to solve the inequality?
Here we want to solve:
[tex]2x - 1/(x + 4) \geq 0[/tex]
To solve this, we multiply both sides by (x + 4) so we get:
[tex]2x*(x + 4) - 1 \geq 0\\\\2x^2 + 8x - 1 \geq 0[/tex]
Now we can solve it graphically, below we have:
There we can see that the solution range is (-∞, -4.121) and (0.121,∞), the regions where the graph is equal or above the horizontal axis.
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An office supply store sells boxes of pencils.each box contains 160 pencils. write an equation that represents the total number of pencils,y, in x boxes.
Answer:
160 times X
Step-by-step explanation:
160 is the number of pencils in each box.
And
X is how many boxes there are.
If 1 box contains 160 pencils then the equation which represents the total number of pencils is y=160x.
What is equation?An equation is a relationship between two or more variables where variables represent some quantity . It is mostly found in equal to form. It is equated to find the value of variables.
Equation form :y=a+bx
How to form equation?There are 160 pencils in one box and x represents the number of boxes. So the equation that represents the total number of pencils can be found by product of x and 160.
Equation will be x*160=160x.
Hence the equation which represents the total number of pencils is y=160x.
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