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 .
Shawn is packing these two boxes with food collected during his schools canned food drive. which expression represents the total volume of the two boxes?
Answer:
27x^3+48x^2-99x
Step-by-step explanation:
The total volume of the two boxes is 27x³ + 48x² - 99x option (C) 27x³ + 48x² - 99x is correct.
What is a rectangular prism?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape. It is also called a cuboid.
It is given that:
Two rectangular box are shown in the picture.
The volume of the rectangular box = length×width×height
The total volume of the two boxes = (x+3)(x+5)3x + 2x(3x+9)(4x-8)
After simplification:
= 3x³ + 24x² + 45x + 24x³ + 24x² - 144x
= 27x³ + 48x² - 99x
Thus, the total volume of the two boxes is 27x³ + 48x² - 99x option (C) 27x³ + 48x² - 99x is correct.
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Of the 50 states in the United States, 14 have an Atlantic Ocean coastline and 5 have a Pacific Ocean coastline. What fraction of U.S. states have neither an Atlantic Ocean nor Pacific Ocean coastline?
Answer:
[tex]\frac{31}{50}[/tex]
Step-by-step explanation:
First, find how many have an Atlantic or Pacific coastline:
14 + 5
= 19
Then, subtract this from 50:
50 - 19
= 31
This means 31 out of the 50 states have neither coastlines:
This is [tex]\frac{31}{50}[/tex] as a fraction
if It is known that 5
Answer:
Could you please finish the question?? I don't get you.
I think you understand why there is no answer. My apologies!!
✨Thanks!!!✨
which diagram (s)show adjacent angles
bruh what is (-4×-6)-4²
Answer:
8
Step-by-step explanation:
the anwser is you use the formal
Tommy’s bedroom is in the shape of a square. If the area of Tommy’s bedroom is 225 square feet, what is the measurement of each side of the room? (I just wan't to mark someone as brainliest)
Answer:
15 feet
Step-by-step explanation:
20 lbs of bananas cost $100. How many lbs of bananas can you get with $85 ?
Answer:
$17
Step-by-step explanation:
Step 1:
20 : 100 = x : 85
Step 2:
100x = 1700
Answer:
x = 17
Hope This Helps :)
Answer:
$100= 20lbs
$1= (20/100)lbs
$85= 85*(20/100)lbs
= 85(1/5)lbs
= 17 lbs
Please i need help thank you
What is the equation of the line described below written in slope-intercept form? the line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0
Answer:y = 1/2x-1
Step-by-step explanation:i got it correct
Answer:
y = - (1/2) x + 1
Using Linear Pairs to Find an Unknown Value
What is the value of x?
SEE
030
45
т
(3x)
55
70
R
O 60
W
Answer:
x=45
Step-by-step explanation:
I did it and got it right
-24-8p=4p
help please
Answer:
-2 = p
Step-by-step explanation:
-24-8p=4p
Add 8p to each side
-24-8p+8p=4p+8p
-24 = 12p
Divide each side by 12
-24/12 = 12p/12
-2 = p
Find the slope of the following lin
y = 4x
Gradient = slope
Gradient = 4
add the following a2b - ab2 + 8ab and 2a2b - ab2
Answer:
3a^2b - 2ab^2 + 8ab
Step-by-step explanation:
just add the like terms
a^b + 2a^2b - ab^2 -ab^2 + 8ab
3a^2b - 2ab^2 + 8ab
The addition of the expressions a²b - ab² + 8ab and 2a²b - ab² will be 3a²b - 2ab² + 8ab.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expressions are given below.
a²b - ab² + 8ab and 2a²b - ab²
The addition of the expressions a²b - ab² + 8ab and 2a²b - ab² will be given as,
⇒ a²b - ab² + 8ab + 2a²b - ab²
⇒ 3a²b - 2ab² + 8ab
The addition of the expressions a²b - ab² + 8ab and 2a²b - ab² will be 3a²b - 2ab² + 8ab.
More about the Algebra link is given below.
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Which expression could be used to represent a 45% increase? (Question 9)
Answer:
Options (A) and (B)
Step-by-step explanation:
Question (9)
Let a number = x
45% increase in the given number will be = x + (45% of x)
= x + [tex]\frac{45x}{100}[/tex]
= x + 0.45x
= x(1 + 0.45)
= 1.45x
Therefore, there will be the two expressions,
A). 1.45x
B). x + 0.45x
Options (A) and (B) will be the correct options.
A rectangular rug has
perimeter 240 inches. The length is 12 inches more than twice the width. Find the length and width
of the rug.
Answer:
length= 84
width= 36
if it is 9:38 what time would it be a half and hour later
Answer:
If it was 9:38 it would be 10:08
Step-by-step explanation:
Adding 30 to 38 would be 68. And since an hour is only 60 minuets long you would change the hour to 10 and add the 8 minuets.
Hope this helped! :))
A 175-inch pipe is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.
Answer:
35
Step-by-step explanation:
What is 1.4 as a fraction in simplest form explain the steps!
Answer:
7/5
Step-by-step explanation:
What is 1.4 in fraction form? 7/5 is the fraction form of 1.4. 1.4 as a Fraction in simplest form to convert 1.4 to a fraction and simplify to the lowest form.
------------
14/10 = 1.4
7 is half of 14
5 is half of 10
The simplest form of given number is [tex]\frac{7}{5} [/tex].
Given number is, 1.4
Converted into fraction, [tex]=\frac{14}{10} [/tex]
It is observed that, 2 is common in both numerator and denominator.
[tex]\frac{14}{10} =\frac{2*7}{2*5}=\frac{7}{5} [/tex]
Hence, The simplest form of given number is [tex]\frac{7}{5} [/tex].
Learn more:
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f(x) = x^2-3x + 7. find f(-1)
Answer:
f(x)= x^2-3x+7
(-1)^2-3(-1)+7
1+3+7
11
Step-by-step explanation:
24x27= Will give brainless
Answer:
648
Step-by-step explanation:
here u go
Answer:
648
Step-by-step explanation:
24 x 27 = 648
If LN=54 and LM= 31, find MN
Answer:
If the overall diagram is 54 and one section of that whole diagram is 31 all we have to do is subtract the overall to the one section to find the other section.
Step-by-step explanation:
So...
54-31=23
Three to the 4th power
solve for the equation 4x+5=9
Answer:
1
Step-by-step explanation:
6+(-3)=
answer question plz
Answer:
-3
Step-by-step explanation: Because it is just like saying 6-3
Answer:
3
Step-by-step explanation:
6+(-3)
A addition symbol and subtraction symbol both make a negative symbol.
6-3
6-3= 3
Hope this helps!
8^10 ÷ 8^5 = 8^2 true false
Answer: I think the answer is false
Answer:
the correct answer is true
Step-by-step explanation:
is 6>x a open or closed dot
Answer:
It will be an open dot.
Step-by-step explanation:
By math textbook states that if a symbol is greater than or less than, it has an open dot.
If it has greater than or less than symbol with a line under it, that means it is a closed dot.
Hope this helps!
vince has 1/2 ton of gravel to spread equally in 8 square yards for his driveway. How many tons of gravel will be spread in each square yard?
Answer:
It would be 125 spread in each square yard.
Step-by-step explanation:
What I am really in need of help. If anyone answers this I will award 60 points to anyone!
Factor the polynomial expression x4 + 18x2 + 81 to determine missing terms
X^4+18x^2+81=( )^2+2( )x^2+ ( )^4
Answer:
Step-by-step explanation:
Explanation:
Use the extended form of the perfect square trinomial identity:
a4 + 2a2b2 + b4 = (a2 + b2)2.
a2 = x2 and b2 = 32
x4 + 18x2 + 81 = (x2)2 + (2)(x2)(32) + (32)2
= (x2)2 + 2(32)x2 + (32)2
= (x2 + 32)2
= (x2 + 9)2
The missing terms are (x²)² + 2(9)x² + (3²)² and (x² + 9)² after factorization of the polynomial.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have a polynomial:
= x⁴ + 18x² + 81
Let u = x²
[tex]\rm =u^2+18u+81[/tex]
or
= (x²)² + 2(9)x² + (3²)²
= (u + 9)²
= (x² + 9)² or
= (x² + 9)(x² + 9)
Thus, the missing terms are (x²)² + 2(9)x² + (3²)² and (x² + 9)² after factorization of the polynomial.
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PLEASE HELP MEEEE I WANT TO CRY BECAUSE IM SO CONFUSED :( ILL GIVE YOU A BRAINLIEST ANSWER! (PLEASE DONT JUST TYPE A RANDOM ANSWER)
The parent equation would be y=x^2 because that is the parent equation of a quadratic function. ;)