Given :
Worth of new car , C = $28000 .
Depreciates in value of car , D = 9 % .
To Find :
Use the variable y to represent the value of the car after t years.
Solution :
Depreciation formula is given by :
[tex]y=C(1-\dfrac{D}{100})^t[/tex]
Putting all given values , we get :
[tex]y=C(1-\dfrac{D}{100})^t\\\\y=28000\times (1-\dfrac{9}{100})^t\\\\y=28000( \dfrac{91}{100})^t[/tex]
Therefore , the required equation is [tex]y=28000( \dfrac{91}{100})^t[/tex] .
Hence , this is the required solution .
What is the solution to the equation -6x + 9 – 4x = 14? I need some more help
Answer:
x= - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given
- 6x + 9 - 4x = 14, that is
- 10x + 9 = 14 ( subtract 9 from both sides )
- 10x = 5 ( divide both sides by - 10 )
x = [tex]\frac{5}{-10}[/tex] = - [tex]\frac{1}{2}[/tex]
14 – (2y + 5) = -2y + 9
Answer:
The answer is all real numbers
Step-by-step explanation:
Simpify both sides of the equation: 14−(2y+5)=−2y+9
14+−1(2y+5)=−2y+9(Distribute the Negative Sign)
14+−1(2y)+(−1)(5)=−2y+9
14+−2y+−5=−2y+9
(−2y)+(14+−5)=−2y+9(Combine Like Terms)
−2y+9=−2y+9
−2y+9=−2y+9
Then add 2y to each side. −2y+9+2y=−2y+9+2y
9=9. Then subtract 9 from each side. 9-9=9-9=0. That means that all real numbers is the answer.
Hey there!
[tex]Answer:\boxed{\text{All are solutions}}[/tex]
[tex]Explanation:[/tex]
[tex]14-(2y+5)=-2y+9[/tex] Equation
14−(2y+5)=−2y+9 Simplify both sides
14 + -1(2y + 5) = −2y + 9 Distribute Negative
14 + -1(2y) + (-1)(5) = -2y + 9
14 + −2y + −5 = −2y + 9
(−2y) + (14 + −5) = −2y + 9 Combine the like terms
−2y + 9 = −2y + 9
-2y + 9 + 2y = -2y + 9 + 2y Add 2y to both sides
9 = 9
9 - 9 = 9 - 9 Subtract 9 from both sides
0 = 0
All are solutions.
Hope this helps!
A rabbit population is modeled by y = 20/1+4e^-0.5t, where y is the number of rabbits after t months. How many rabbits were there initially?
1
4
20
50
Answer:
It's B 4
Step-by-step explanation:
i just took the test
Answer:
4
Step-by-step explanation:
Which statement is NOT true about Rational Numbers? *
Whole Numbers are Rational Numbers
Only fractions are Rational Numbers
Integers, Whole Numbers, and Natural Numbers are Rational Numbers
Repeating decimals and terminating decimals are Rational Numbers
Answer:
Integers, Whole Numbers, and Natural Numbers are Rational Numbers
Step-by-step explanation:
Hope it helps :3
im learning about absolute value with positive and negative, any tips?
Point A is located at coordinates (-4,3). What are the new coordinates of A' after a rotation of 180 degrees using (0,0) as the center of rotation?
Answer:
See below
Step-by-step explanation:
Point A (-4,3)
Point A is in quad 2
So, . . . Point A' will be in quad 4 (+,-)
Therefore, you switch the signs.
Point A' (4,-3)
The new position of the point (-4,3) will be (4,-3) after rotation.
What is translation?The process of changing the location of the image on the coordinate system will be known as the translation. An object is rotated by turning it around the center of rotation, which is a point.
Given that point A is located at coordinates (-4,3). The new coordinates of A' after a rotation of 180 degrees using (0,0) as the center of rotation.
As it is given point A is rotated about the origin at 180 degrees. Then the new coordinates of the points will be at the same magnitude but with the opposite sign.
Point A (-4,3)
Point A' will be in quadrant 4 ( +,- )
Point A' = ( 4, -3).
Therefore, the new position of the point (-4,3) will be (4,-3) after rotation.
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Complete each equation with a number that makes it true.4 * ____ = 36 * 1 point 5 * ___ = 1 *
Answer:
9 and 1/5
Step-by-step explanation:
4*9=36
5*(1/5)=1
Answer:
4*_9_=36 1 point 5 _0.5__=1
Step-by-step explanation:
okay all u have to do is 36 divided by 4 is 9. 1.5 __0.5__ =1.0
Which would NOT be found in the set of rational numbers? A. 5 B. 1/2 C. -12.5 D. 1.61803398874989484820
Answer:
D
Step-by-step explanation:
This is because rational numbers don't continue as a decimal infinitely
11. Susan was given the following number to convert to scientific notation: 12,050,000
Her answer was 1.25 x 107, but it was marked wrong on her paper. Why?
Answer:
eliminated, the bedtime increases by one minute. ... Description: This activity requires students to tell time to the half-hour (e.g. 4:00, 5:30, 11:30).
Step-by-step explanation:
Solve the quadratic equation by factoring. 2x^2+5x+3=0
Answer:
-0.33 repeating
Step-by-step explanation:
2x^2=4x
4x+5x+3=0
combine like terms
9x + 3 = 0
subtract 3 from both sides
9x = -3
divide 9 both sides to get the variable by itself
x = -0.33 repeating
Answer:
[tex]x_1=-\frac{3}{2} \\\\x_2=-1[/tex]
Step-by-step explanation:
the general fromula is
[tex](ax+b)(cx+)d)\\\\=acx^{2} +(ad+bc)x+bd[/tex]
so we need that
[tex]ac=2\\\\ad+bc=5\\\\bd=3[/tex]
for ac = 2
we only have 2 and 1
so let's say
[tex]a=2\\\\c=1[/tex]
so we now have
[tex](2x+b)(x+d)\\\\2x^{2} +(2d+b)x+bd\\\\[/tex]
and for bd = 3
we only have 3 and 1
but we need to
2d +b = 5
so we can have
b=3
and
d=1
so the factorized form is
[tex](2x+3)(x+1)[/tex]
so we come back to
[tex](2x+3)(x+1)=0[/tex]
so here we have two cases
Case 1
[tex](2x+3)=0\\\\2x+3=0\\\\2x=-3\\\\x=-\frac{3}{2}[/tex]
Case 2
[tex](x+1)=0\\\\x+1=0\\\\x=-1[/tex]
so those are our solutions
I can't find the value of Y
114 = 19y
This is true because they are vertical angles. Now, let's divide both sides by 19
6 = y
Answer:
The value of y° must be 6°
Step-by-step explanation:
19y° = 114°{being vertically opposite angle}
or, y° = 114°/19
or, y° = 6°
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. If Shawn knows that the slope of the line is 4 and the line passes through the point (1,-8), which equation should he use to find the y-intercept and what is the y-intercept of the line? Choices are as follows: b = y + mx b = y - mx b = [tex]\frac{y-m}{x}[/tex] b = -12 b = -4 b = 2
Answer:
b=y-mx
Step-by-step explanation:
We know that y=mx+b is the slope intercept form of a line and we know that the slope of the line is 4. So:y = 4x+bHowever, we need to find the y intercept of the line which is b. Using the point (1,-8), we can find the y intercept. We need to find the equation to find the y-intercept. So:y = mx+b b=y-mxAnd now, we can substitute 4 for m which is the slopeb=y-4xUsing the point (1,-8) we can find the y-intercept b=(-8)-4(1)b=-8-4b=-12the equation of the line is y = 4x - 12 with the slope being 4 and y-intercept is -12. The equation we used is b = y-mx
4. A rectangle is a four-sided flat shape where every interior angle is a right angle.
Therefore, opposite sides are parallel and consecutive sides are perpendicular.
Rae is drawing rectangle PQRS on a coordinate plane. The rectangle has
coordinates P(-1,2), Q(2,4), R(x, y), and S(3,-4).
Answer:
coordinates of R(x,y) is R(6,-2).
Step-by-step explanation:
A. we know that
The rectangle has coordinates P (-1,2), Q(2,4), R(x,y) and S(3,-4)
using a graph tool
see the attached figure
Step 1
Find the slope of the line PS
the slope is equal to
m=(y2-y1)/(x2-x1)
mPS=(-4-2)/(3+1)=-6/4=-3/2
Step 2
Find the equation of the line QR
we know that
PS and QR are parallel lines
so
their slopes are the same
mQR=-3/2
with mQR and the point Q(2,4) find the equation of the line
y-y1=m*(x-x1)
y-4=(-3/2)*(x-2)
y=(-3/2)*x+3+4--------> y=7-(3/2)*x
Step 3
Find the equation of the line SR
we know that
SR and QR are perpendicular lines
so
the product of their slopes is equal to minus one
mSR*mQR=-1
mSR=2/3
with mSR and the point S(3,-4) find the equation of the line SR
y-y1=m*(x-x1)
y+4=(2/3)*(x-3)
y=(2/3)*x-2-4---------> y=-6+(2/3)*x
Step 4
Find the intersection of the lines QR and SR
we know that
the intersection of the lines QR and SR is the point R
y=7-(3/2)*x------> equation 1
y=-6+(2/3)*x------> equation 2
equate equation 1 and equation 2
7-(3/2)*x=-6+(2/3)*x
7+6=(2/3)*x+(3/2)*x
13=(2/3)*x+(3/2)*x
Multiply by 6 both sides
6*13=4*x+9*x
13*x=6*13
x=6
find the value of y
y=-6+(2/3)*x------> y=-6+(2/3)*6---------> y=-6+4
y=-2
therefore, the coordinates of point R are (6,-2)
Which of the following is NOT a subset of the rational numbers
Integers
Whole Numbers
Perfect square integers
Irrational numbers
Soccer ball profit
y=-6x^2 + 100x - 180
Suppose the store wants to earn a daily profit of $150 from the sale of soccer balls. To earn this profit, what price should the store charge for each soccer ball? Explain how to solve this problem.
Answer:
$8.33 per soccer ball.
Step-by-step explanation:
Y max is =236.67 is the max profit from the soccer balls. This goes on when you charge 8.33 a ball
Answer:
need to solve the equation 150 = -6x2 + 100x - 180. I can subtract 150 from both sides and use the quadratic formula to find x = 4.53 and 12.13. This means that if the store sells soccer balls for $4.53 or $12.13, it will earn a daily profit of $150.
PLEASE HELP I WILL MARK YOU BRAINLIEST
Answer:
X= 62 Y=620
Step-by-step explanation:
Y is right because its ten times more than x and x is right because you take the three side and you multiply each one by 2 then you add then all together and you get 62.
Can i be made brainliest i need it
What is the slope of the data from the table?
х
11
15
19
у
2
10
18
Answer:
first it's adding 4 then it starts adding 8
Step-by-step explanation:
Answer:
If your data represents the following X, Y coordinates (11, 2), (15, 10), and (19, 18) then the slope can be calculate
X = 11 15 19
Y = 2 10 18
m = (y2 -y1)/(x2 - x1)
m = (10 - 2)/(15 - 11)
M = 8/4 = 2
I hope you find this useful.
If your data represents the following X, Y coordinates (11, 2), (15, 10), and (19, 18) then the slope can be calculate
X = 11 15 19
Y = 2 10 18
m = (y2 -y1)/(x2 - x1)
m = (10 - 2)/(15 - 11)
M = 8/4 = 2
I hope you find this useful.
Step-by-step explanation:
In a year group of 108 students, 60 liked football,
53 liked tennis and 10 liked neither. Calculate
the number of students who liked football but not tennis.
Answer:
you know what to do that is the soup for the next couple of weeks and see how much is a ps4 controller or an official at the lot of the boy's
HELP ME PLS I NEED THIS !!!
Step-by-step explanation:
here is the answer with the solution.
Find the value of f(3)
I am doing math homework and need some assistance solving, 2(2t+4)=3/4(24-8t)
Answer:
They are equal
Step-by-step explanation:
If you do 2 plus 4 in the parentheses then that equals 6 and 6t time 2 is 12t because the t doesnt have a value therefore it sticks onto the answer and if you convert the 3/4 into .75 then you can subtract the 24 by 8t and get 16 then when you multiply the 16 by 3/4 it will take .75 off of 16 and the answer is the same therefore they are equal equations.
Find the distance FG between the points
F(0, – 7) and G (-6, -3). Round your answer to the
nearest tenth, if necessary.
FG
Answer:
7.2
Step-by-step explanation:
The distance of FG is 7.211
What is distance formula?Distance between two points (x1,y1) and (x2,y2) is given by:
PQ = √( x2 − x1 )² + ( y2 − y1 )². It is known as distance formula.
Given coordinates:
F(0, – 7) and G (-6, -3).
Using distance formula
= √(-6-0)² + (-3 +7)²
=√36+ 16
=√52
=7.211 units
Hence, the distance of FG is 7.211 units
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Picture!! Pleassseeee answer fasttt! Branlist answer!
Solving equations to find the angle measure angle measurement
Under the Declaration of Independence ordinary citizens have the right to do what and why?
Answer:
yes, ordinary netizens have a right to do what they want or what opinion they want to say. Declaration of Indepence is not just for powerful people but also for ordinary netizens in order for them to spek the truth
Find 4ac when a=3 and c+39
Answer:
468
Step-by-step explanation:
a=3 and c=39
4(3)(39)
468
i believe you accidently wrote c+39 instead of c=39 :)
Answer:
468
Step-by-step explanation:
Replace:
4(3)(39)
=468
2x + 6 = 2(x+3)
A x=0
B no solution
C infinite many solutions
Step-by-step explanation:
2x + 6=2(x+3)
2x+6=2x+6
4x=0
x=0/4
No answer/no solution
2x + 6 = 2(x+3)
2x + 6 =2x+6
2x-2x=6-6
x=0
I guess I was help full for u
can someone please help me
Answer:
I and II
Step-by-step explanation:
I: 10 is less than or equal to 2(11) - 1
10 <= 22 - 1
10 <= 21
10 is less than or equal to 21
solution
II: 10 is less than or equal to 2(8) - 1
10 <= 16 - 1
10 <= 15
10 is less than or equal to 15
solution
III: 10 is less than or equal to 2(3) - 1
10 <= 6 - 1
10 <= 5
10 is not less than or equal to 5
not a solution
What is the degree of 5x3 + 2x2y3z?
Answer:
stylo fabric customer care 9903160322##8944928267
Answer:
the degree is the largest exponent on the variable
answer - 6
how you know when you need to add parenthesis in an expression
Answer:
rjeov oke eieie
Step-by-step explanation:
3 1/8% in simplest form
Answer:
3.125%
Step-by-step explanation:
1/8=0.125
3+0.125=3.125
Answer:
the answer is
1/32
Step-by-step explanation:
let me know of its right