Answer:
The annual depreciation rate is 72.86%.
Step-by-step explanation:
The information provided are:
At the band’s peak of popularity, a signed Black Diamond poster sold for $500.Three years later, the band was almost forgotten, and the poster was worth only $10.From the above data we know that the band's popularity depreciated.
The initial cost of a signed Black Diamond poster was, a = $500.
After three years the cost of a signed Black Diamond poster was, y = $10.
It can be seen that the value of a signed Black Diamond poster is decreasing exponentially over the years.
The formula for exponential decay or depreciation is:
[tex]y=a(1-r)^{x}[/tex]
Here,
y = final value
a = initial value
r = rate of depreciation
x = time
Compute the annual depreciation rate as follows:
[tex]y=a(1-r)^{x}[/tex]
[tex]10=500\times (1 -r)^{3}[/tex]
[tex](1-r)^{3}=\frac{10}{500}[/tex]
[tex](1-r)=\sqrt[3]{\frac{1}{50}}[/tex]
[tex]1-r=0.2714[/tex]
[tex]r=1-0.2714\\\\r=0.7286[/tex]
Thus, the annual depreciation rate is 72.86%.
Which of these tables represents a linear function?
Plz Hurry
Four more than the product of 19 and a number
4+(19x)
four plus 19 and a number
Answer:
19+4x
Step-by-step explanation:
We can write an expression:
19x+4x
"Four more": +4x
product of 19 and a number: 19x
Question 3 (5 points)
(-1) + 5 -(-6) - 5 =
A) -3
B) 0
C) 5
D) -2.
Answer:
5
Step-by-step explanation:
-1+5+6-5
-1-5+5+6
-6+11
5
what is the answer for this question and how do i solve it?
Answer:
[tex]\frac{7}{15}[/tex]
Step-by-step explanation:
Given
[tex]\frac{16-4(5)}{2(6)+8}[/tex] + [tex]\frac{2}{3}[/tex]
= [tex]\frac{16-20}{12+8}[/tex] + [tex]\frac{2}{3}[/tex]
= [tex]\frac{-4}{20}[/tex] + [tex]\frac{2}{3}[/tex]
= - [tex]\frac{1}{5}[/tex] + [tex]\frac{2}{3}[/tex]
We require the fractions to have a common denominator of 15
Multiply the numerator/ denominator of - [tex]\frac{1}{5}[/tex] by 3 and
Multiply the numerator/ denominator of [tex]\frac{2}{3}[/tex] by 5
= - [tex]\frac{3}{15}[/tex] + [tex]\frac{10}{15}[/tex]
= [tex]\frac{7}{15}[/tex]
Hoses A and B spout water at different constant rates, and hose A can fill a certain pool in 6 hours. Hose A filled the pool alone for the first 2 hours and the two hoses, working together, then finished filling the pool in another 3 hours. How many hours would it have taken hose B, working alone, to fill the entire pool
Answer:
18 hours
Step-by-step explanation:
Let the volume of the pool be x. Since pipe A filled the pool in 6 hours, the rate of pipe A = x / 6.
Let the rate of pipe b be y, Hose A filled the pool alone for the first 2 hours, this means that the volume filled in the 2 hours is x/6(2 hours) and the two hoses, working together, then finished filling the pool in another 3 hours for the 3 hours the volume filled is x/6(3) + y(3). hence the total time is:
x/6(2) + x/6(3) + y(3) = x
x/3 + x/2 + 3y = x
Multiply through by 6:
2x + 3x + 18y = 6x
5x + 18y = 6x
18y = x
y = x/18
The rate of pipe B is x/18, this means it would take pipe B 18 hours to full the pool alone
The coefficient of the term y is 0.
Answer:
no it is 1
Step by step instructions:
since there is no number for y it will be one
At what speed does the pitcher's arm rotation in degrees-s?
Answer:
7000 degrees per sec
Step-by-step explanation:
If the arm goes 7 degrees per ms to get how many degrees it goes per sec, just multiply by 1000.
Can anyone find the slope of this line (lots of points reward)
Answer:
(-5,1)
Step-by-step explanation:
i dont really know but might be right
Answer:
-1/2
Step-by-step explanation:
Find two points on the line
(0,-5) and (2,-6)
Using the slope formula
m = (y2-y1)/(x2-x1)
= (-6 - -5)/( 2-0)
( -6+5)/( 2)
-1/2
5. Find the point X on CF that is of the distance from C to F. C is -4 F is 5 -7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 A) -2.2 B) 0.5 C) -1.8 D) -3
Correct Question: Find the point X on CF that is ⅕ of the distance from C to F.
*See attachment below for the numberline.
Answer:
A.) -2.2
Step-by-step explanation:
Given that C on the numberline = -4,
F on the numberline = 5
The distance from point C (-4) to point F (5) = |-4 - 5| = |-9| = 9
We are told that point X on CF, = ⅕ of the distance from point C to F. That is, X on the numberline is ⅕ of 9 = ⅕*9
⅕*9 = 9/5 = 1.8
This means, the coordinate of point X, from point C = coordinate of C + 1.8 = -4 + 1.8 = -2.2.
Therefore, the coordinate of X that is ⅕ of the distance from point C to F is -2.2.
*em janeiro foram produzidos 818,4 litros de leite * em fevereiro 771,1 litros de leite *em março 815,2 litros de leite *em abril 784,5 litros de leite *em maio 803,4 litros de leite * em junho 742,9 litros de leite Agora responda: a)Quantos litros de leite foram produzidos EM MÉDIA, por mês? b)Quantos litros de leite, em média, foram produzidos diariamente no mês de janeiro?
Answer:
ifk
Step-by-step explanation:
tdf
P;ease help me with this question, please get it right, i only have 1 chance for it, Volume of prism
Answer:
16.295
Step-by-step explanation:
2d - 15 =3 pls answer ASAP and with corrections
Answer: d=9
Step-by-step explanation:
2d -15 = 3 Add 15 to both sides
+ 15 +15
2d = 18 Divide both sides by 2
d = 9
Answer:
d=9
Step-by-step explanation:
collecting like terms
2d=3+15
2d=18
d= 9
Probe that:
[tex] \sec \alpha \sqrt{1 - \sin( {}^{2} ) } \alpha = 1[/tex]
Step-by-step explanation:
[tex] \sec \alpha \sqrt{1 - \sin ^{2} \alpha } = 1[/tex]Prove the LHS
Using trigonometric identities
That's
[tex] \cos ^{2} \alpha = 1 - \sin^{2} \alpha [/tex]Rewrite the expression
We have
[tex] \sec \alpha \sqrt{ \cos^{2} \alpha } [/tex][tex] \sqrt{ { \cos }^{2} \alpha } = \cos \alpha[/tex]So we have
[tex] \sec \alpha \times \cos \alpha [/tex]Using trigonometric identities
[tex] \sec \alpha = \frac{1}{ \cos \alpha } [/tex]Rewrite the expression
That's
[tex] \frac{1}{\cos \alpha } \times \cos \alpha [/tex]Reduce the expression with cos a
We have the final answer as
1As proven
Hope this helps you
Explain or give your reasoning as to why x^0=1.
Answer:
Any number raised to the zeroth power is equal to 1.
Step-by-step explanation:
x^0=1 is a number raised to the zeroth power so it is automatically equal to 1.
There are four movies showing at the movie theatre. 2/3 of the people bought comedy, 1/4 bought tickets for horror movie, and 3/10 bought tickets for the kids movie what fraction represents the number of people who bought tickets for the action movie
Answer:
The fraction of people for 4th movie is 0.1167
Step-by-step explanation:
The number of people that bought a comedy movie ticket = 2/3
The number of people that bought the horror movie ticket = 1/4
The number of people that bought kids movie ticket = 3/10
Total number people for three movies = 2/3 + ¼ + 3/10 = 0.8833
The fraction of people for 4th movie = 1 – 0.8833 = 0.1167
cosA×cos2A+sinA×sin2A=cos (2A-A)
Answer:
csc
A
, as desired!
Step-by-step explanation:
cos
2
A
sin
A
+
sin
2
A
cos
A
,
=
cos
2
A
cos
A
+
sin
2
A
sin
A
sin
A
cos
A
,
=
cos
(
2
A
−
A
)
sin
A
cos
A
,
=
cos
A
sin
A
cos
A
,
=
1
sin
A
,
=
csc
A
, as desired!
The mapping diagram shows a functional relationship Complete the statements f(4) is Domain Range f(x) = 4 when x is.
Answer:
f(4) is 1/2
f(x)= 4 when x is 8
The complete statements would be as:
function f(4) is 1/2 and function f(x) = 4 when domain x is 8.
What are the domain and range of the function?The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
We have been given that the mapping diagram shows a functional relationship.
To determine the value of f(4)
As per the given functional relationship,
If the value of the domain is 4 then the value of the respective range would be 1/2.
Therefore, the function f(4) would be 1/2.
To determine the value of x, when f(x) = 4
As per the given functional relationship,
If the value of the range is 4 then the value of the respective domain would be 8.
Therefore, x would be 8 if function f(x) = 4 .
Hence, the complete statements would be as:
f(4) is 1/2 and f(x) = 4 when x is 8.
Learn more about the domain and the range here:
brainly.com/question/21027387
#SPJ2
solve the following equation show your work 3{-x + (2x + 1)} = x - 1
Answer:
x = -2
Step-by-step explanation:
For this problem, we must simply solve for x. To do this, we will need equation operations, and the use of the distributive property.
Let's work this line by line until we have the value for x:
3{-x + (2x + 1)} = x - 1
3*-x + 3*(2x + 1) = x - 1
-3x + 6x + 3 = x - 1
3x + 3 = x - 1
2x = -4
x = -2
Now we can check our answer for x by plugging back into the original equation and see if the left hand side is equal to the right hand side:
3{-x + (2x + 1)} = x - 1
3{-(-2) + (2(-2) + 1)} ?= (-2) - 1
3{2 + (-4 + 1)} ?= -3
3{2 + (-3)} ?= -3
3{-1} ?= -3
-3 == -3
Thus, we have found the solution for x to be equivalent to negative 2.
Cheers.
Answer:
x = - 2Step-by-step explanation:
3{-x + (2x + 1)} = x - 1
First solve the terms in the bracket first
That's
3 (- x + 2x + 1 ) = x - 1
3( x + 1) = x - 1
Expand the terms in the bracket
We have
3x + 3 = x - 1
Simplify
3x - x = - 1 - 3
2x = - 4
Divide both sides by 2
We have the final answer as
x = - 2Hope this helps you
Si la medida de un ángulo exterior es el cúadruple de la medida de un ángulo interior de un polígono regular, encuentra la suma de dichas medidas.
Answer:
dos palabras viva el tequila
Step-by-step explanation:
atu vieja se lo voy a meter xd xd xd xd xd xd xd xd xd xd xd xd
what is 1/8(3d-12)=1/4(d+5)
Answer:
d=22
Step-by-step explanation:
9 is 15% of what amount?
Answer:
0.9 is 15% of 6
work:
0.15 x 6 = 0.9
Hope this helps!
A two digit number becomes 5/6 of the reversed number when the digits are interchanged the difference between the digits is 1 find the number.
Friends plz helpe plz plz plz
I want answer with full explanation
I will mark him as brainliest
Answer:
Original number = 54
Reversed number = 45
Step-by-step explanation:
Let the tens place digit be x and unit's place digit be y.
Therefore, required no. = 10x + y
Number obtained after interchanging the digits = 10y + x
According to the given condition:
[tex]10y+ x = \frac{5}{6} (10x + y) \\ 6(10y + x) = 5(10x + y) \\ 60y + 6x = 50x + 5y \\ 60y + 6x - 50x - 5y = 0 \\ 55y - 44x = 0 \\ 11(5y - 4x) = 0 \\ 5y - 4x = 0.....(1) \\ according \: to \: the \: second \: condition \\ x - y = 1 \\ x = y + 1....(2) \\ from \: equations \: (1) \: and \: (2) \\ 5y - 4(y + 1) = 0 \\ 5y - 4y - 4= 0\\ y - 4 = 0 \\ y = 4 \\ substituting \: y = 4 \: in \: equation \: (2) \\ x = 4 + 1 \\ x = 5 \\ \\ 10x + y = 10 \times 5 + 4 = 50 + 4 = 54 \\ 10y + x = 10 \times 4 + 5 = 40 + 5 = 45 \\ [/tex]
Point A is at (-6,8) and Point B is at (0,0.5) pint M is at the midpoint of point A and B
Answer:
Midpoint = (-3, 4.25)
Step-by-step explanation:
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-6,\:8\right),\:\left(x_2,\:y_2\right)=\left(0,\:0.5\right)\\\\=\left(\frac{0-6}{2},\:\frac{0.5+8}{2}\right)\\\\= (\frac{-6}{2} , \frac{8.5}{2} )\\\\Simplify\\\\=\left(-3,\:4.25\right)[/tex]
you have already read 117 pages of a book you are one third of the way through the book write and solve an equation to find the number of pages in the book
Answer:
1/3=117......117x3=351
Step-by-step explanation:
/ is my fraction sign btw
the answer is 351!!
Explain how to use friendly percents to find 35% of 80
Answer:
You can use friendly percents to find 35% of 80 by writing 35% as 25% + 10%. 25% of 80 is 80 divided by 4, which is 20. 10% of 80 is 80 divided by 10, which is 8. 20 + 8 = 28. So 35% of 80 is 28.
Step-by-step explanation:
I just did the test!!! And plus its a sample answer !!!
Match each pair of points with the approximate distance between them. Round your answer to the nearest tenth. Answers: 7.07, 5.1, 2, 2.83, 5.39, 13.15, 12.5 What to match them to: (3,-1) and (5,4), (2,3) and (4,5), (-5,7) and (8,5), (-2,4) and (3,-1)
(3, -1) -> (5, 4) = 5.38516 or 5.39 units
(2, 3) -> (4, 5) = 2.82843 or 2.83 units
(-5, 7) -> (8, 5) = 13.1529 or 13.15 units
(-2, 4) -> (3, -1) = 7.07107 or 7.07 units
The correct matching of the pair of points and the distance between them would be:
(3, -1) → (5, 4) = 5.39 units(2, 3) → (4, 5) = 2.83 units(-5, 7) → (8, 5) = 13.15 units(-2, 4) → (3, -1) = 7.07 unitsHow to find the distance ?The distance between two points in a 2-dimensional Cartesian plane is given by the Euclidean distance formula, which is a direct application of Pythagoras' theorem.
The distance between the points are therefore:
(3,-1) and (5,4):
Distance = √[(5 - 3)² + (4 - (-1))²] = √[(2)² + (5)²]
= √[4 + 25] = √[29]
= 5.39
(2,3) and (4,5):
Distance = √[(4 - 2)² + (5 - 3)²] = √[(2)² + (2)²]
= √[4 + 4] = √[8]
= 2.83
(-5,7) and (8,5):
Distance = √[(8 - (-5))² + (5 - 7)²] = √[(13)² + (-2)²]
= √[169 + 4] = √[173]
= 13.15
(-2,4) and (3,-1):
Distance = √[(3 - (-2))² + ((-1) - 4)²] = √[(5)² + (-5)²]
= √[25 + 25]
= √[50]
= 7.07
Find out more on distance at https://brainly.com/question/7243416
#SPJ6
Fives times the difference of
a number and 3 is 25
Answer:
24
Step-by-step explanation:
multiples for 3=3,6,9,12,15,18,21,24
Multiples for 8=8,16,24
The first one that matches for both is 24
Answer: 8
Step-by-step explanation:
if n represents the number:
5(n - 3) = 25
(distribute)
5n - 15 = 25
(add 15 to both sides)
5n = 40
(divide both sides by 5 to isolate "n")
n = 8
-7 + 9(2d - 3w) use w = 5 and d = 2
Answer:
-106
Step-by-step explanation:
[tex] - 7 + 9(2d - 3w) \\ w = 5 \\ d = 2[/tex]
Substitute the given values for w and d into the equation.
[tex] - 7 + 9(2(2) - 3(5)) \\ [/tex]
Follow the PEDMAS order of operation
[tex] - 7 + 9(4 - 15) \\ - 7 + 9( - 11) \\ = - 7 + ( - 99) \\ = - 7 - 99 = - 106[/tex]
[tex]( \frac{1}{2} {a}^{2} + \frac{1}{2} ab - {b}^{2} )[/tex]
Answer:
[tex]\frac{1}{2}[/tex] (a + 2b)(a - b)
Step-by-step explanation:
Assuming you require the expression to be factored
Given
[tex]\frac{1}{2}[/tex] a² + [tex]\frac{1}{2}[/tex] ab - b² ← factor out [tex]\frac{1}{2}[/tex] from each term
= [tex]\frac{1}{2}[/tex] (a² + ab - 2b²) ← factor the quadratic
Consider the factors of the coefficient of the b² term(- 2) which sum to give the coefficient of the ab- term (+ 1)
The factors are + 2 and - 1, since
2 × - 1 = - 2 and 2 - 1 = + 1, thus
a² + ab - 2b² = (a + 2b)(a - b) and
[tex]\frac{1}{2}[/tex] a² + [tex]\frac{1}{2}[/tex] ab - b² = [tex]\frac{1}{2}[/tex](a + 2b)(a - b)
Point Tis on line segment SU. Given ST = 9 and TU
SU.
= 7, determine the length
Answer:
Line SU is 16
Step-by-step explanation:
ST + TU = SU
7 + 9 = 16
You add 9 and 7 to get 16.