Answer:
£6941
Step-by-step explanation:
If the car depreciates by 16% each year, then its value is multiplied by 1-16% = 0.84 each year. After 8 years, the value will have been multiplied by that factor 8 times.
__
Depreciated value = Original value × 0.84^8
= £28,000 × 0.247876
≈ £6941 . . . . value after 8 years
I need help I’m very confused with this question
Answer:
Option 1
Step-by-step explanation:
=> [tex]x^2-4x+2 = 10[/tex]
Adding 2 to both sides to complete the square
=> [tex]x^2-4x+4 = 12[/tex]
Completing the square
=> [tex](x-2)^2= 12[/tex]
Answer:
Step-by-step explanation:
exact form:
x=+2\sqrt(3+2)
decimal form:
x=5.46410161
help me please!! i’m super stuck
Answer:
Area = 259.8 cm²
Step-by-step explanation:
Central Angle = 360/6 = 60 degrees
The half of which is 30 degrees
So,
=> Tan 30 = [tex]\frac{opposite}{adjacent}[/tex] (Considering it a right angled triangle)
Where opposite = 1/2 s and adjacent = 5√3 cm
=> 0.577 * 5√3 = 1/2 s
=> 1/2 s = 5
So,
=> s = 10 cm
Perimeter = 6s = 6(10) = 60 cm
Area of Regular Polygon = [tex]\frac{1}{2} (Apothem)(Perimeter)[/tex]
Area = [tex]\frac{1}{2} (5\sqrt{3} )(60)[/tex]
Area = (5√3)(30)
Area = 259.8 cm²
Mrs. E buys a pair of jeans and receives a 35% discount. If the original price of the jeans was $55, how much does Mrs. E pay before taxes?
Answer:
40.39
Step-by-step explanation:
35% discount off 55 is 19.25
$35.75 is the answer
to calculate the tax its 13% rate in your area or what ever
1.13 x 35.75 = 40.39
12. Find the area of the quadrilateral PQRS whose vertices are P (0, 0), Q (5,0), R(3,2) and S(0,2).
Answer:
15
Step-by-step explanation:
d = 5 for PQ
For:
(X1, Y1) = (0, 0)
(X2, Y2) = (5, 0)
finding distance between two points
d=√(5−0)^2+(0−0)^2
d=√(5)^2+(0)^2
d=√25+0
d=√25
d=5
for RS d=3
d = 3
For:
(X1, Y1) = (3, 2)
(X2, Y2) = (0, 2)
d=√(0−3)^2+(2−2)^2
d=√(−3)^2+(0)^2
d=√9+0
d=3
Area= length * width
Area=3*5=15
Explain why it is important to be able to perform
matrix operations by hand when a calculator can
do them for you.
Answer:
The answer is explained below
Step-by-step explanation:
I am going to list a series of points where it is important to learn how to perform matrix operations.
1. The first and most important is that calculators may not always be available, and even if you do have them there will be cases where they won't let you use them.
2. By performing the operation by hand it will allow you to understand the process in a better way, such as finding an inverse, if you do this with a calculator you will most likely not know what was done.
3. Although it seems basic, some calculators cannot display the elements of a matrix as fractions, which is important to understand the process.
4. There are special cases such as when an array could contain a variable and the calculator could not be used in this case.
5. Although in most cases the calculator can help us get out of the operation quickly, sometimes it is faster at hand and, most importantly, when performing the step by step, you understand the entire operation better.
INCLUDE:
Calculators may not always be available.
Finding an inverse by hand allows me to understand the process.
Calculators may not show the elements of a matrix as fractions.
Sometimes it is faster by hand.
A matrix could contain a variable.
what is the term to term rule for the sequence: 5 10 20 40 80 PLEASE HELP ITS URGENT
In the sequence 5,10,20,40,80.. I can see that it is doubled each time.
Doubling 5 is 10, doubling 10 is 20, doubling 20 is 40, and doubling 40 is 80.
Good luck! Stay safe!
- Eli <3
Please answer this in two minutes
hope its helpful to uh...
The equation of a circle is given below. ( x + 7 ) 2 + ( y + 8 ) 2 = 4 9 (x+7) 2 +(y+8) 2 = 9 4 left parenthesis, x, plus, 7, right parenthesis, squared, plus, left parenthesis, y, plus, 8, right parenthesis, squared, equals, start fraction, 4, divided by, 9, end fraction What is its center? ( (left parenthesis , ,comma ) )right parenthesis What is its radius? If necessary, round your answer to two decimal places. units
Answer:
The center is (-7,-8) and the radius is sqrt (2/3)
Step-by-step explanation:
( x + 7 )^ 2 + ( y + 8 ) ^2 = 4 /6
The equation of a circle can be written as
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
Rewriting
( x - -7 )^ 2 + ( y - -8 )^ 2 = (sqrt(2/3)^2
The center is (-7,-8) and the radius is sqrt (2/3)
Answer:
center: (-7,-8) radius: 2/3
Step-by-step explanation:
i got this from wegnerkolmp2741o. thank you wegnerkolmp2741o!!!!!
also got this correct on khan academy
Using the digits 1 to 9, at most one time each, fill in the boxes so that the points make a parallelogram. Mathematically, use parallel line or congruent sides to explain your answer. If there are calculations, include those in your explanation.
Answer:
[tex]\left\begin{array}{ccc}A\left( \boxed{3} , \boxed{8} \right)&B\left( \boxed{9} , \boxed{6} \right )\\\\C\left( \boxed{1} , \boxed{4} \right)&D\left( \boxed{7} , \boxed{2} \right )\end{array}\right[/tex]
Step-by-step explanation:
The coordinates are:
[tex]\left\begin{array}{ccc}A\left( \boxed{3} , \boxed{8} \right)&B\left( \boxed{9} , \boxed{6} \right )\\\\C\left( \boxed{1} , \boxed{4} \right)&D\left( \boxed{7} , \boxed{2} \right )\end{array}\right[/tex]
The parallelogram is attached below.
To verify if these coordinates form a parallelogram, we show that:
AB=CD; and AC=BDUsing Distance Formula
[tex]AB = \sqrt{(6-8)^2+(9-3)^2} = \sqrt{(-2)^2+(6)^2} = \sqrt{40} $ units[/tex]
[tex]CD = \sqrt{(2-4)^2+(7-1)^2} = \sqrt{(-2)^2+(6)^2} = \sqrt{40} $ units[/tex]
[tex]AC = \sqrt{(8-4)^2+(3-1)^2} = \sqrt{(4)^2+(2)^2} = \sqrt{20} $ units[/tex]
[tex]BD = \sqrt{(6-2)^2+(9-7)^2} = \sqrt{(4)^2+(2)^2} = \sqrt{20} $ units[/tex]
Since AB=CD; and AC=BD, the coordinates A, B, C, and D form the vertex of a parallelogram.
Which function increases at the fastest rate between x = 0 and x = 8? A 2-column table with 5 rows titled Linear Function with the equation f of x = 2 x + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 6, 10, 14, 18. A 2-column table with 5 rows titled Exponential Function with the equation f of x = 2 Superscript x Baseline + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 3, 6, 18, 66, 258. A 2-column table with 5 rows titled Quadratic Function with the equation f of x = 2 x squared + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 10, 34, 74, 130. A 2-column table with 5 rows titled Linear Function with the equation f of x = 3 x + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 8, 14, 20, 26.
Answer:
The correct option is;
Exponential function 2ˣ + 2
x = 0, 2, 4, 6, 8
f(x) = 3, 6, 18, 66, 258
Step-by-step explanation:
The given functions are;
f(x) = 2x + 2
x = 0, 2, 4, 6, 8
f(x) = 2, 6, 10, 14, 18
f(x) = 2ˣ + 2
x = 0, 2, 4, 6, 8
f(x) = 3, 6, 18, 66, 258
f(x) = 2·x² + 2
x = 0, 2, 4, 6, 8
f(x) = 2, 10, 34, 74, 130
f(x) = 3·x + 2
x = 0, 2, 4, 6, 8
f(x) = 2, 8, 14, 20, 26
By comparison, the function that increases at the fastest rate between x = 0 and x = 8 is Exponential function 2ˣ + 2
Answer: The answer is B on edg
Step-by-step explanation:
0.75(8+e)=2-1.25e0.75(8+e)=2−1.25e what is e
Answer:
[tex]e=-2[/tex]
Step-by-step explanation:
Given: [tex]0.75(8+e)=2-1.25e[/tex]
Step 1: Distribute the Left-Hand Side
[tex]0.75*8+0.75*e=2-1.25e\\6+0.75e=2-1.25e[/tex]
Step 2: Collect like terms
[tex]0.75e+1.25e=2-6\\2e=-4[/tex]
Step 3: Divide both sides by 2
[tex]e=-2[/tex]
Answer:
E=-2
Step-by-step explanation:
I got this right on Khan!
Hope this helps! ;)
Hi please help meeee
An experiment consists of tossing 3 coins at the same time.
1. Identify the sample space.
2. What is the probability of tossing 2 tails and 1 head?
3. Which is more likely to occur: tossing exactly 1 tail or tossing at least 2 heads? Explain.
Answer:
Answers are below
Step-by-step explanation:
1. List all possible outcomes
HHH HHT HTH HTT TTT THH THT TTH
2. The probability of tossing 2 tails and 1 head is 3/8.
3. The probability of getting exactly 1 tail is 3/8. The probability of tossing at least 2 heads is 4/8 or 1/2. There is a greater chance of tossing at least 2 heads than tossing exactly 1 tail.
Answer:[tex]\color{yellow}{}[/tex]
1. List all possible outcome
HHH HHT HTH HTT TTT THH THT TTH
2. The probability of tossing 2 tails and 1 head is 3/8
3. The probability of getting exactly 1 tail is 3/8. The probability of tossing at least 2 heads is 4/8 or 1/2. There is a greater chance of tossing at least 2 heads than tossing exactly 2 tail.
What is the answer to (-9c)-4=-25
Answer:
c= 7/3
Step-by-step explanation:
To solve for c:
Simplify the equation by moving all numbers to one side and variables to the other
-9c-4=-25
-9c= -25+4
-9c=-21
Now isolate c by dividing both sides by its coefficient (-9)
c= -21/-9
Since the (-) cancel out, this simplifies to:
c= 21/9
Now reduce the fraction by dividing the right hand side by a common value of 3:
c= 7/3
7x -5 (x +6) simplify this algebraic expression completely
Answer:
2x-30
Step-by-step explanation:
Expand: 7x-5x-30
=2x-30
solve the equation x^2+4x-7=0 by completing the square. Give your answer to 2 decimal places
Answer:
x ≈ - 5.32 , x ≈ 1.32
Step-by-step explanation:
Given
x² + 4x - 7 = 0 ( add 7 to both sides )
x² + 4x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 7 + 4, that is
(x + 2)² = 11 ( take the square root of both sides )
x + 2 = ± [tex]\sqrt{11}[/tex] ( subtract 2 from both sides )
x = - 2 ± [tex]\sqrt{11}[/tex]
Thus
x = - 2 - [tex]\sqrt{11}[/tex] ≈ - 5.32 ( to 2 dec. places )
x = - 2 + [tex]\sqrt{11}[/tex] ≈ 1.32 ( to 2 dec. places )
Answer:
x=-5.32 or x=1.32
Point T is the midpoint of line AB. If TB=6, find the length of AB?
Answer:
Length of AB is 12
Step-by-step explanation:
Here, we are concerned with finding the full length of line AB, given the distance between the midpoint of the line AB and the point B itself
What this means is that, the distance of the halfway of the full length is 6
So the total distance would be twice the halfway distance
So if the halfway distance is 6, then the full distance would be 6 * 2 = 12
So the length of AB = 12
What is the total surface area of the square pyramid below?
10 14 10 plz help:(
Answer: 380[tex]cm^{2}[/tex]
Step-by-step explanation:
Area of triangle= 14 x 10 = 140
140/2 = 70
4 triangles= 70 x 4 = 280
Area of the square= 10 x 10 = 100
Total surface area= 280 + 100 = 380[tex]cm^{2}[/tex]
hello fellow army :)
Can someone help me solve this?
Thank you!
Answer:b=-43.38
Step-by-step explanation:
Find the slope and y-intercept of the line. 18x + 4y = 112 A)-9/2; 1/28 B)-2/9 ; 28 C)18; 112 D)-9/2; 28
Answer:
The slope is -9/2 and the y intercept is 28
Step-by-step explanation:
We want to put this in slope intercept form
y = mx+b where m is the slope and b is the y intercept
18x + 4y = 112
Subtract 18x from each side
18x+4y-18x = -18x+112
4y = -18x+112
Divide each side by 4
4y/4 = -18x/4 +112/4
y = -9/2x + 28
The slope is -9/2 and the y intercept is 28
Answer: D)-9/2; 28
Step-by-step explanation:
❗️5 points❗️
Find the slope of the line.
A. -4
B. -1/4
C. 4
D. 1/4
If the area of the square is 36 square units, what is the area of the shaded part?
Answer:
9 squared units
Step-by-step explanation:
The area of a parallelogram is base × height.
b × h
= 3 × 3
= 9
Answer:
9 square units
Step-by-step explanation:
The probability of choosing an apple-flavored juice box out of the refrigerator without looking is 1. Which term best describes this probability?
Answer:
Certain.
Step-by-step explanation:
When the probability of choosing an apple-flavored juice box without looking is 1, that means you have a 100% chance of getting it. There's no way you can miss, so it is certain.
Hope this helps!
Answer:
certain
Step-by-step explanation:
since the outcome is a 100% the answer is certain
Find the value of x and EF. A and B are midpoints.
Answer:
x = 5.5
EF = 14
Step-by-step explanation:
We can use ratios to solve
AG 7
----------- = -----------------
EG 2x+3
We know that EG is 2 times AG since A is the midpoint
AG 7
----------- = -----------------
2 AG 2x+3
Canceling like terms
1 7
----------- = -----------------
2 2x+3
Using cross products
1 (2x+3) = 2*7
2x+3 = 14
Subtract 3 from each side
2x+3-3 = 14-3
2x =11
Divide by 2
x = 11/2
x = 5.5
EF = 2x+3 = 2*5.5+3 = 14
Represent 1/3 and 5/2 on the same number line.
Step-by-step explanation:
1/3 and 5/2 can be shown as:
1/3= 3/6 5/2= 15/6points with 1/6 interval on the number line:
0, 1/6, 2/6, 3/6, 4/6, ..., 15/6
A catering company uses different functions to estimate the itemized costs for a party. The table below represents the included tip for wait staff as a function of the number of guests served. A table showing Catering Cost for Wait Staff Gratuity with two columns and 6 rows. The first column has, Number of Guests, and has the entries, 10, 20, 30, 40, 50. The second column, Wait Staff Tip, has the entries, $18, $36, $54, $72, $90. If the tip varies directly with the number of guests, which equation represents the relationship between the tip, t, and the number of guests, g?
Answer:
Step-by-step explanation:
If the tip varies directly with the number of guests, it means that an increase in the amount of tip would be as a result of an increase in the number of guests and a decrease in the amount of tip would be as a result of an decrease in the number of guests.
If we introduce a constant of proportionality, k , the relationship would be
t = kg
Given that
When t = 18, g = 10, then
18 = k × 10
k = 18/10 = 1.8
Therefore, the equation representing the relationship is
t = 1.8g
Answer:
answer is a
Step-by-step explanation:
Find x.
Help?...............
Answer:
x = 6
Step-by-step explanation:
For this, we simply can use similar triangles to build proportions to find the value of x.
The base of one triangle is 4 with a hypotenuse of x.
The base of the second triangle is x with a hypotenuse of 4+5.
Hence, we can build this proportion:
x/9 = 4/x
Now we solve for x in this proportion:
x/9 = 4/x
x * x = 9 * 4
x^2 = 36
x = 6
Now we know the value of x=6.
Cheers.
One ordered pair (a,b) satisfies the two equations ab^4 = 384 and a^2 b^5 = 4608. What is the value of a in this ordered pair?
Answer: a = 3∛2
Step-by-step explanation:
ab⁴ = 384 --> a = 384/b⁴
Substitute a = 384/b⁴ into the second equation to solve for "b".
a²b⁵ = 4608
[tex]\bigg(\dfrac{384}{b^4}\bigg)^2\cdot b^5=4608\\\\\\\dfrac{147,456b^5}{b^8}=4608\\\\\\\dfrac{147,456}{b^3}=4608\\\\\\\dfrac{147,456}{4608}=b^3\\\\\\32=b^3\\\\\\\sqrt[3]{32} =b\\\\\\2\sqrt[3]{4} =b[/tex]
Substitute b = 2∛4 into the first equation to solve for "a".
ab⁴ = 384
a(2∛4)⁴ = 384
a = 384/(2∛4)⁴
a = 24/4∛4
= 6/∛4
= 6(∛2)/2
= 3∛2
If X = 2 centimeters, Y = 4 centimeters, and Z = 6 centimeters, what is the area of the object?
Answer:
Step-by-step explanation:
the shape is a trpizoid with height y
A=(a+b)/2 *h (a=2x=4cm, h=y=4cm, b=2z=12 cm
A=(4+12)/2 * 4
Area=16/2 *4=8*4= 32 cm²
Answer:
24 Centimeters
Step-by-step explanation:
what you want to do is split it up, make two triangles (the sides), and one big square. The square has the dimensions 4 by 4 which has the area of 16. The two triangles have the dimensions 2 by 4, which would be 4 and because there are two, the triangles equal 8. 16+8=24
Hope this helps. :)
kenneth had $1,800. He spent 34% of it on a watch. How much did he pay for the watch?
Answer:
$612.00
Step-by-step explanation:
$1800*.34=$612.00
What is the sum? 3/x^2 - 9 + 5/x+3 A.) 8/x^2 + x - 6 B.) 5x - 12 / x-3 C.) -5x/ (x + 3)(x-3) D.) 5x-12/ (x+3)(x-3)
Answer:
[tex] \boxed{\boxed{\huge \sf D. \ \frac{5x - 12}{(x + 3)(x - 3)}}} [/tex]
Step-by-step explanation:
[tex] \sf Summation \: of \: following : \\ \sf \implies \frac{3}{ {x}^{2} - 9} + \frac{5}{x + 3} \\ \\ \sf {x}^{2} - 9 = {x}^{2} - {3}^{2} : \\ \sf \implies \frac{3}{ {x}^{2} - \boxed{ \sf {3}^{2} }} + \frac{5}{x + 3} \\ \\ \sf Factor \: the \: difference \: of \: two \: squares. \\ \sf {x}^{2} - {3}^{2} = (x + 3)(x - 3) : \\ \sf \implies \frac{3}{ \boxed{ \sf (x + 3)(x - 3)}} + \frac{5}{x + 3} \\ \\ \sf Put \: each \: term \: in \: \frac{3}{(x + 3)(x - 3)} + \frac{5}{x + 3} over \\ \sf the \: common \: denominator \: (x + 3)(x - 3) : \\ \sf \implies \frac{3}{(x + 3)(x - 3)} + \frac{5(x - 3)}{(x + 3)(x - 3)} \\ \\ \sf \frac{3}{(x + 3)(x - 3)} + \frac{5(x - 3)}{(x + 3)(x - 3)} = \frac{5(x - 3) + 3}{(x + 3)(x - 3)} : \\ \sf \implies \frac{5(x - 3) + 3}{(x + 3)(x - 3)}[/tex]
[tex] \sf 5(x - 3) = 5x - 15 : \\ \sf \implies \frac{ \boxed{ \sf 5x - 15} + 3}{(x + 3)(x - 3)} \\ \\ \sf Grouping \: like \: terms, \: 5x - 15 + 3 = 5x + (3 - 15) : \\ \sf \implies \frac{ \boxed{ \sf 5x + (3 - 15)}}{(x + 3)(x - 3)} \\ \\ \sf 3 - 15 = - 12 : \\ \sf \implies \frac{5x - 12}{(x + 3)(x - 3)} [/tex]