Given :
Colin buys a tv for £740. It depreciates at a rate of 4% per year.
To Find :
How much will it be worth in 5 years.
Solution :
Decrease in price in 1 year is :
[tex]P = P_o- P_o\times 0.04\\\\P = 0.96P_o[/tex]
So, decrease in price after x years is :
[tex]P = (0.96)^x P_o[/tex]
Putting value of x and [tex]P_o[/tex] in above equation, we get :
[tex]P = 0.96^5\times 740\\\\P = \£\ 603.38[/tex]
Therefore, the worth of T.V after 5 years is £603.38 .
What is the slope for the points (0,5) and (2,13)?
Solve for x:
2x + y = -2
4x + y = -8
Answer:
x = -3
Step-by-step explanation:
2x + y = -2
4x + y = -8
2x + y = - 2
y = -2x - 2
4x + y = - 8
y = -4x - 8
y = -2x - 2
y = -4x - 8
-2x - 2 = -4x - 8
4x - 2x = 2 - 8
2x = -6
2x/2 = -6/2
x = -3
To check just use da graph ;w;
The x is -3
Answer:
Step-by-step explanation:
x= −1 −y/2
x= 4 −8−y/4
What is the value of -16 +9?
Answer
the answer is -7
Step-by-step explanation: −(16−9) =-7
Marcos reads 3 1/2 books in 1 3/4 weeks. At this rate, how many books does Marcos read in 1 week
SOMEONE PLEASE HELP IF YK GEOMETRYYY IVE ASKED THIS QUESTION 3 TIMES NOWW SO PLEASEEE HELP MEEEE
Answer: what is your question
Step-by-step explanation:
Find the value of x in the isosceles triangle
Step-by-step explanation:
Since all 3 sides of the triangle is equal, it is not only an isosceles, but an equilateral triangle.
x = 8sin60° = 6.928 or sqrt48.
That is a question about triangles.
In my answer I will show 2 ways to solve that question, ok? Let's go.
First way - Pythagoras's theoremThe line segment x divide the biggest triangle in 2 equals right triangles.
Let's choose one of them and note that is a triangule with hypotenuse equals to 8 and one cathetus equals to half of 8.
The Pythagoras's theorem says that:
[tex]\boxed{a^2 = b^2 + c^2}[/tex]
a is the hypotenuse and b and c are cathetus.
So, in our case, we know the hypotenuse and one cathetus, let's substitute that in the expression:
[tex]a^2 = b^2 + c^2\\8^2 = 4^4 + c^2\\64 = 16 + c^2\\c^2 = 64 - 16\\c^2 = 64 -16\\c^2 = 48\\c = \sqrt{48}\\c= 4\sqrt{3}[/tex]
Therefore, the value of x is [tex]4\sqrt{3}[/tex].
Second way - The equilateral triangle heightThat way to solve the question is a consequence of the previous way.
That triangle has all the sides equals, so it is a equilateral triangle.The line segment x is the height of that triangle. And we can find the equilateral triangle height using that expression:
[tex]\boxed{h = \frac{S\cdot \sqrt{3} }{2} }[/tex]
h is the height and S is the triangle's side.
So, we know that the side of our triangle is 8. Let's change S value in the expression:
[tex]h = \frac{S\cdot \sqrt{3} }{2} \\h = \frac{8\cdot \sqrt{3} }{3} \\h = 4\sqrt{3}[/tex]
Thus, the value of x is [tex]4\sqrt{3}[/tex].
Note that in the 2 ways we find the same result, so that answer is correct.
I hope I've helped. :D
Enjoy your studies! \o/
5
Thrifty Rentals charges $8.85 per hour to rent a
tiller. About how much will Rodney pay if he rents
the tiller for 10.25 hours?
A
$2.15
B
$19.85
С
$90.00
D
$109.00
directions "rewrite the standard form equations into slope intercept form" 2x+6y=-24
Answer:
-2x-24/6
pass the x susbtrating divided it by 6
Which one is correct please hurry..the audio is just reading the question
Answer:
3/29
Step-by-step explanation:
Step-by-step explanation:
ahsjsjsjajajajjahajaiaiaijzjsbwbw
What is the solution to this function ?
Answer:
I think this is the answer
What is the simplified expression in the box by combing like terms and removing zero pairs?
-4 ( 2x+ 4) + 5
9514 1404 393
Answer:
-8x -11
Step-by-step explanation:
Use the distributive property to eliminate parentheses. Then combine the constant terms.
-4(2x +4) +5
= -8x -16 +5
= -8x -11
[tex]\sf \longmapsto-4 ( 2x+ 4) + 5[/tex]
[tex]\sf \longmapsto(−4)(2x)+(−4)(4)+5[/tex]
[tex]\sf \longmapsto−8x+−16+5[/tex]
[tex]\sf \longmapsto(−8x)+(−16+5)[/tex]
[tex]\sf \longmapsto−8x+−11[/tex]
[tex]\sf \longmapsto - 8x - 11[/tex]
Write the percent as a decimal.
47.63%.
Answer:
.4763
Step-by-step explanation:
A percent can be made into a decimal by moving the decimal two places to the left.
HELP!!
ASAP
Worth 10 points
Answer:
integers
Step-by-step explanation:
they wouldnt be whole numbers because there are opposites involved, but they wouldnt be just classified as rational because they have the requirements to be classified as integers
Jane paid $40 for an item after she received a 20% discount. Jane's friend says this means that the original price of the item was $48. a. How do you think Jane's friend arrived at this amount?
Answer:
The discount is $8
Step-by-step explanation:
Step one
Given data
Jane paid $40 for an item after she received a 20% discount.
Required
The initial cost of the item
Now in other to check whether Jane's friend is correct, let us solve for the initiai cost as follows
Let the initial cost be x
so
20% of 40
20/100*40
=0.2*40= $8
Therefore the discount is $8
hence the original price is
discount+ discounted sale(amount paid)
=8+40
=$48
SOMEONE PLEASEEE HELP (ILL GIVE BRAINLIST)
Answer:
the second one or B
$0.15+$40.00=$58.00
it is this because the number of mins is .15 cent each min
4) [59, 59,59,59,100,89,80,89] Find The Median and The mode
Which expression uses the greatest common factor and the distributive property to rewrite the sum 45 + 20?
5(9+4)
9(5)+20
5(11+4)
4(5+5)
Help please ASAP please I’ll mark you as brainlister
Answer:
a = 4
Step-by-step explanation:
[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]
[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \tan(theta) = \frac{opposite}{adjacent} [/tex]
hypotenuse = a
opposite = 2√3
adjacent = b
theta = 60°
the best formula to use is the first formula cause we have all the values to substitute in it in order to find the value of a
[tex] \sin(60) = \frac{2 \sqrt{3} }{a} [/tex]
[tex] \frac{2 \sqrt{3} }{ \sin(60) } = a[/tex]
[tex]4 = a[/tex]
[tex]a = 4[/tex]
The library is 6 miles east of the city hall. The mall is 10 miles west of the library. How far and in what direction is the mall from the city hall? A. 16 miles west B. 16 miles east C. 4 miles west D. 4 miles east
Answer:
b
Step-by-step explanation:
Answer:
4 miles west
Step-by-step explanation:
5 - ( m - 4 ) = 2m + 3 ( m -1 )
Answer:
m=2
Step-by-step explanation:
Helppppp this is really hard
Answer:
0 is the right answer.Step-by-step explanation:
[tex]y = {(x + 7)}^{3} + 4 \\ [/tex]
There are no real zero in the equation.
Is this right, if not then what is the equivalent expression of it, please make the answer easy and simple
Answer:
[tex]\dfrac{6x+2}5}[/tex]
Step-by-step explanation:
The given expression is :
[tex]\dfrac{3x}{5}+\dfrac{2}{5}+\dfrac{3x}{5}[/tex]
We need to write the equivalent expression for the above expression.
Taking like terms together,
[tex]=(\dfrac{3x}{5}+\dfrac{3x}{5})+\dfrac{2}{5}\\\\=\dfrac{3x+3x}{5}+\dfrac{2}{5}\\\\=\dfrac{6x}{5}+\dfrac{2}{5}\\\\=\dfrac{6x+2}5}[/tex]
So, the equivalent expression is [tex]\dfrac{6x+2}5}[/tex].
Here is a story: Lin bought 4 bags of apples. Each bag had the same number of apples. After eating 1 apple from each bag, she had 28 apples left. А. 28 1. What part of the story does represent? x + 1 x + 1 x + 1 x + 1 B 28 2. Would eating an apple be represented by subtraction or addition? 1 X X C С 1 3. Which diagram best represents the story? 4. What is the value of x? X-1 x-1 x - 1 28
Answer:
X-1 X-1 X-1 28
Step-by-step explanation:
Translate the word phrase into a math expression.
11 fewer than the quotient of 2 and a number
11−(n÷2)
11−n÷2
11−(2÷n)
2÷n−11
Does the sum of -21 and 12 equal 0?
Algebra 1 Honors
BUSINESS a printing press valued at $120,000depreciates 12% per year. What will be the approximate value for the printing press in 7 years?
A. $19,200 B. $265,282 C. $49,041 D. $55,728
Answer:
19200
brainliest if correct
Explanation
12% of 120,000 = 14400
14400x7 = 100800
120,000 - 100800 = 19200
The tens digit is twice the units digit. Reverse the digits, add 2 and the new number is 34 less than the original number. Find the original number.
Answer:
Step-by-step explanation: X and Y represent the digits.
The tens digit is twice the units digit.
The digit in the Tens place has 10× its base value, so we can set up equations to model the information given.
10x +y 10y +x are Original & Reversed numbers
X = 2y means the Tens digits is twice the units digit.
10y + x +2 = 10x +y - 34 models the statement: The reversed number plus two is 34 less than the original number.
Substitute 2y for x to solve for y
10y +2y +2= 10(2y) + y -34
Distribute and combine like terms
12y + 2 = 20y +y - 34
34 +2 = 21y -12y
36 = 9y Divide both sides to find the value of y.
4 = y
X = 2(4) Substitute 4 for y to find x
X = 8
Original number: 84 Reversed number: 48
Substitute into equation model
48 +2= 84 -34
50 = 50
True!
The formula for the area of a trapezold with altitude k and bases m and n is A=k/2(m+n)
Solve for m.
Answer:
[tex]m=\frac{2A-kn}{k}[/tex]
Hence, option C is true.
Step-by-step explanation:
Given the expression
[tex]A=\frac{k}{2}\left(m+n\right)[/tex]
Solving for 'm'
[tex]A=\frac{k}{2}\left(m+n\right)[/tex]
Flip the equation
[tex]\frac{k}{2}\left(m+n\right)=A[/tex]
Expanding by applying the distributive law: [tex]a\left(b+c\right)=ab+ac[/tex]
[tex]\frac{1}{2}km+\frac{1}{2}kn=A[/tex]
Add (-1)/2 × kn to both sides
[tex]\frac{1}{2}km+\frac{1}{2}kn+\left(-\frac{1}{2}kn\right)=\left(-\frac{1}{2}kn\right)+A[/tex]
simplify
[tex]\frac{1}{2}km=-\frac{1}{2}kn+A[/tex]
Divide both sides by k/2
[tex]\frac{\frac{1}{2}km}{\frac{k}{2}}=\frac{-\frac{1}{2}kn+A}{\frac{k}{2}}[/tex]
[tex]m=\frac{2A-kn}{k}[/tex]
Therefore,
[tex]m=\frac{2A-kn}{k}[/tex]
Hence, option C is true.
Maya is 14 years old. Her brother Jorge is 3 years more than half her age. Which of the following is the correct expression for Jorge's age?
The correct expression for Jorge's age is (14 ÷ 2) + 3
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that, Maya is 14 years old. Her brother Jorge is 3 years more than half her age.
We need to determine an expression for Jorge's age,
So, If you divide her age by two and add 3 then you will get Jorge age and that is what the question is asking,
i.e. (14 ÷ 2) + 3
Hence, the correct expression for Jorge's age is (14 ÷ 2) + 3
Learn more about expressions, click;
https://brainly.com/question/14083225
#SPJ3
majorly confused about this and how to solve.
Answer:
The answer is 59.5