A car bought for $13000 depreciates at 12% per annum. What is the rate of decay of its value?a 0.12 b. 12C. 1.2d. Can't be predicted
Answers
The rate of decay of its value is 0.12
Here, we want to get the decay rate of the value of the car
To get the rate of decay, we look at the percentahe of depreciation
From the question, we can see that this is 12%
We proceed to express this in decimal form
Expressing this in decimal form, we have that;
\(12\text{ percent = }\frac{12}{100}\text{ = 0.12}\)Related Questions
Eugene and Jessica each improved their yards by planting hostas and geraniums. They bought
their supplies from the same store. Eugene spent $150 on 18 hostas and 6 geraniums. Jessica
spent $113 on 7 hostas and 16 geraniums. Find the cost of one hosta and the cost of one
geranium.
Answers
The cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.
To find the cost of one hosta and one geranium, we can set up a system of equations based on the given information.
Let's assume the cost of one hosta is represented by 'h' and the cost of one geranium is represented by 'g'.
From the information given, we can set up the following equations:
Eugene's spending:
18h + 6g = $150
Jessica's spending:
7h + 16g = $113
We can now solve this system of equations to find the values of 'h' and 'g'.
Multiplying the first equation by 2 and the second equation by 3 to eliminate 'g', we get:
36h + 12g = $300
21h + 48g = $339
Now, we can subtract the second equation from the first to eliminate 'h':
(36h + 12g) - (21h + 48g) = $300 - $339
36h - 21h + 12g - 48g = -$39
15h - 36g = -$39
Simplifying further, we have:
15h - 36g = -$39
Now we can solve this equation for 'h' and substitute the value back into any of the original equations to find 'g'.
Let's solve for 'h':
15h = 36g - $39
h = (36g - $39) / 15
Substituting this value of 'h' into Eugene's equation:
18[(36g - $39) / 15] + 6g = $150
(648g - $702) / 15 + 6g = $150
648g - $702 + 90g = $150 * 15
738g - $702 = $2250
738g = $2250 + $702
738g = $2952
g = $2952 / 738
g ≈ $4
Now, substituting the value of 'g' back into Eugene's equation:
18h + 6($4) = $150
18h + $24 = $150
18h = $150 - $24
18h = $126
h = $126 / 18
h ≈ $7
Therefore, the cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.
For such more questions on Cost of Hosta & Geraniums
https://brainly.com/question/14324591
#SPJ8
what is 4million 2hunderd thousand 6 hundred 52 in digitss
Answers
Answer:
one thousand, seven hundred twenty-eight
A candle is in the shape of a cylinder. The candle has a diameter of 6 inches and a height of 5 inches What is the volume of the candle? (Use 3.14
A. 94.2 cubic inches
B. 141.3 cubic inches
C. 150.7 cubic inches
D. 188.4 cubic inches
Answers
Calc II Question
Find the volume of the solid obtained by rotating the region bonded bt the given curves about the specified line.
Y = In x
Y = 1
Y = 2
X = 0
About the Y axis
Answers
Work attached in image. Since the solid is being rotated about the y-axis, you would need to solve y=lnx in terms of x. The rest of the process is showed in the image.
Solve equation by using the quadratic formula.
6x² + 2x = 4
Answers
Answer: 2/3 , -1
Step-by-step explanation:
Keegan is determining whether the triangle with vertices L(-1, 3), M(5, 5) and N(7, -1) is a right triangle. Keegan finds the slopes as shown and concludes that the triangle is not a right triangle because the product is not -1. What is his error and what should he do to correct it?
(added an image)
will mark brainiliest
Answers
Keegan's error is assuming that the product of the slopes of any two sides of a triangle should be -1 for the triangle to be a right triangle.
To determine if the triangle LMN is a right triangle, Keegan should instead calculate the lengths of the three sides of the triangle and check if they satisfy the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
To correct his approach, Keegan should calculate the lengths of sides LM, MN, and NL using the coordinates of the vertices and then check if the Pythagorean theorem holds true.
If the squared length of one side is equal to the sum of the squares of the other two sides, then the triangle LMN is a right triangle.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ1
Three times a number plus three times a second number is negative twelve. Five times the first number plus twice the second is four
Answers
Consider the numbers as, if we assume our first number to be x and second number being y, then from the given information we will be having the following equations :
\({:\implies \quad \begin{cases}\sf 3x+3y=-12\\ \\ \sf 5x+2y=4\end{cases}}\)
Now, rewrite the second equation as ;
\({:\implies \quad \sf 3(x+y)=-12}\)
Divide both sides by 3 ;
\({:\implies \quad \sf x+y=-4\quad ---(i)}\)
Now, consider the second equation of the above cases
\({:\implies \quad \sf 5x+2y=4\quad ---(ii)}\)
Now, multiply (i) by 2 on both sides :
\({:\implies \quad \sf 2x+2y=-8\quad ---(iii)}\)
Now, subtracting (ii) from (iii) will give us :
\({:\implies \quad \sf 2x+2y-(5x+2y)=-8-4}\)
\({:\implies \quad \sf 2x+2y-5x-2y=-12}\)
\({:\implies \quad \sf -3x=-12}\)
\({:\implies \quad \boxed{\bf{x=4}}}\)
Now, putting x = 4 in (i), will give y + 4 = -4, then solving for y will yield \({\boxed{\bf{y=-8}}}\)
Hence, we can conclude that :
\({\quad \qquad \longrightarrow \begin{cases}\bf x=4\\ \\ \bf y=-8\end{cases}}\)
Find x in the diagram below
Answers
The value of the angle x is 30 degrees
How to determine the valueTo determine the value of the variable x, we need to know the triangle sum theorem.
The triangle sum theorem is a theorem in mathematics stating that the sum total of the interior angles in a triangle is equivalent to 180 degrees.
We should also note that angle at right angle is 90 degrees
Then, we have the angles written as;
90 degrees
2x degrees
x degrees
Equate the angles , we have;
2x + x + 90 = 180
collect the like terms, we have;
2x + x = 180 - 90
add or subtract the like terms, we have;
3x = 90
divide by the coefficient
x = 30
Learn more about triangles at: https://brainly.com/question/14285697
#SPJ1
How would you type the answer for GE as in picture for an edpuzzle answer ? What does the check mark symbol mean ?
Answers
Based on the image attached, the solution for GE is approximately 22.72.
What is the expression ?To be able to solve the equation √129 + √129 = GE, one need to simplify the expression and then isolate GE.
Step 1: One can add the square roots:
Note that the equation:
√129 + √129 = GE.
Step 2: Do put together the square root terms:
2√129 = GE.
Step 3: Then Divide by 2:
√129 = GE/2.
Step 4: The Square both sides:
129 = (GE²)/4.
Step 5: So, Multiply by 4:
516 = GE².
Lastly, Take the square root:
√516 = √(GE²)
√516 = GE
GE = 22.72. approx.
Learn more about expression from
https://brainly.com/question/1859113
#SPJ1
See text below
Step 26
Solve the equation for GE:
√129+√129 = GE
GE=2/129
Show steps
question is in the picture, thank you so much in advance.
Answers
Answer:
y¹⁰
Step-by-step explanation:
Let’s say y=2.
This means 2 to the power of 4 is 16.
Then, we do 16 times 2, because it says y4 times 6.
16 times 2 is 32.
Now we find what 2 to the power of 5 is.
That is also 32.
Finally, we do 32 times 32 which is 1,024.
As you can see, we used 2, aka y 10 times. This is because y4 has 4 y’s, and y5 has 5 y’s. Then, there is one extra y in the middle.
Therefore, 4 + 5 + 1 is equal to 10.
This can be written as y10.
hope this helped!
A car is traveling at a rate of 30 meters per second. What is the car's rate in kilometers per hour? How many kilometers will the car travel in 5 hours? Do not
round your answers.
Answers
The speed of the car is 108 kilometers per hour and the distance covered in 5 hours is 540 kilometers.
What is the speed of the car in kilometers per hour and distance covered after 5 hours?Speed is simply referred to as distance traveled per unit time.
It is expressed as;
Speed = Distance ÷ time.
Given that the car is traveling at a rate of 30 meters per second.
First, convert the car's speed from meters per second to kilometers per hour using the conversion factor.
1 kilometer = 1000 meters
1 hour = 3600 seconds
Hence;
Speed = 30m/s = ( 30 × 3600/1000 )kmh
Speed = 108 kmh
Next, the distance covered in 5 hours will be:
Speed = Distance / time
Distance = speed × time
Distance = 108 kmh × 5 h
Distance = 540 km
Therefore, the disatnce covered is 540 kilometers.
Learn more about speed here: brainly.com/question/7359669
#SPJ1
Find the missing length. Write as a simplified radical
Answers
4 units, 6.93 units, 9.801 units, and 6.93 units are the missing lengths.
What are trigonometric ratios?Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant are the six trigonometric ratios (sec). A branch of mathematics called trigonometry in geometry deals with the sides and angles of a right-angled triangle. Triangles are the focus of trigonometry, or more specifically, the connection between a right-angled triangle's angles and sides. A triangle has three sides: Hypotenuse, Adjacent, and Opposite. Trigonometric Ratio refers to the ratio between these sides based on the angle between them.
Here,
cos 60°=b/8
0.5=b/8
b=4 units
sin 60°=p/8
0.866*8=p
p=6.93 units
sin 45°=6.93/h
h=6.93/0.707
h=9.801 units
cos 45°=b/9.801
0.707*9.801=b
b=6.93 units
The missing lengths are 4 units, 6.93 units, 9.801 units and 6.93 units.
To know more about trigonometric ratios,
https://brainly.com/question/25122825
#SPJ1
99 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answers
Two stockpots are similar cylinders. The smaller stockpot has a height of 10 inches and a radius of 2.5 inches, the volume of larger one is 628.32 cubic inches.
We know that, to find volume:
Volume = π * \(r^2\) * h
For the smaller stockpot:
Radius (r) = 2.5 inches
Height (h) = 10 inches
Volume = π * (2.5)² * 10 ≈ 196.35 cubic inches
For the larger stockpot:
Radius (r) = 2.5 inches
Height (h) = 16 inches
Volume = π * (2.5)² * 16
≈ 628.32 cubic inches
Thus, the volume of larger one is 628.32 cubic inches.
For more details regarding volume, visit:
https://brainly.com/question/28058531
#SPJ1
What is the answer for this one?
Answers
Answer:
Option B
Step-by-step explanation:
We can approach this problem through the formula for distance between points, but I can think of a more easier approach. This line forms a triangle with the x and y axis, a right triangle with the legs being 2 and 1 units. The line with which we must find the distance of acts as the hypotenuse of this triangle, so let us apply Pythagorean Theorem to solve for the length of the line;
\(a^2 + b^2 = c^2,\\( 1 )^2 + ( 2 )^2 = c^2,\\\\1 + 4 = c^2,\\c^2 = 5,\\\\c = ( About ) 2.2\)
Solution; Option B
7x + 4y
if x = 5 and y = -3
Answers
Answer: 23
Step-by-step explanation: Plug in your values:
7(5) + 4(-3)
35 + (-12)
35 - 12
23
Hope this helps!
Dena borrowed $75,000 to buy a used car. The credit union charged 9% simple interest per year. She paid $2,025 in interest. For what period of time did she borrow the money?
Whats the...
Principal_____
Rate____
Intrest_____
PLSSSS ITS DUE IN 10 MINS
Answers
Rate- 9%
Interest- $2025
Hope this helps ;)
If so mark as brainliest
1.) 154 × 654 =
2.) 578 × 493 =
3.) 300 × 542 =
4.) 387 × 539 =
5.) 396 × 648 =
Please answer
Answers
2. 87,954
3. 162,600
4. 208,593
5. 256,608
2.) 284954
3.) 162600
4.) 208593
5.) 256608
:)
you want to install molding around the circular room. How much it would cost you to install the molding that you picked if it cost $4.22 per foot?
Answers
The cost of the molding is given as follows:
$119.30.
What is the measure of the circumference of a circle?The circumference of a circle of radius r is given by the equation presented as follows:
C = 2πr.
The parameters for this problem are given as follows:
d = 9 -> r = 4.5.
(as the radius is half the diameter)
Hence the circumference is given as follows:
C = 2 x π x 4.5
C = 28.27 ft.
The cost is of $4.22 per ft, hence the total cost is given as follows:
4.22 x 28.27 = $119.30.
More can be learned about the circumference of a circle at brainly.com/question/12823137
#SPJ1
HELP ITS DUE TODAY!
A baker is baking a giant cookie in the shape of a equilateral triangle what is the area of the cookie if the base is 17 inches and the height is 10 inches
Answers
To find the length of one of the sides, we can use the Pythagorean theorem. Since this is an equilateral triangle, all sides are equal in length. Let's call the length of one side "x". We know that the height (which is also one of the sides) is 10 inches, so we can set up a right triangle with one leg being x/2 (half of one side) and the other leg being 10 inches. The hypotenuse (the other side of the equilateral triangle) is x.
Using the Pythagorean theorem:
(x/2)^2 + 10^2 = x^2
x^2/4 + 100 = x^2
100 = 3x^2/4
400/3 = x^2
x = sqrt(400/3)
Now that we know the length of one side, we can plug it into the formula for area:
A = (sqrt(3)/4) x (sqrt(400/3))^2
A = (sqrt(3)/4) x (400/3)
A = 100sqrt(3)/3
Therefore, the area of the giant cookie in the shape of an equilateral triangle with a base of 17 inches and a height of 10 inches is approximately 57.74 square inches.
Answer:
85 square inches.
Step-by-step explanation:
The area of a triangle can be found by the formula \(1/2bh\), assuming b is the base and h is the height.
If b is 17 inches and h is 10 inches:
\(1/2(17)(10)\)
\(1/2(170)\)
\(A = 85\)
Therefore, the area is 85 square inches.
Solve for n.
4.8 = 3n
If necessary explain in the simplest way possible.
Answers
The value of n is 1.6 if 4.8=3n by using simplest method.
What is meant by simplest equation?A mathematical equation links the two phrases on either side of the sign. It typically simply has an equal sign and one variable. similar to 2x - 4 = 2. Simple equations are used to demonstrate the relationship between two terms when they are positioned on each side of an equal sign. Simple equations are all used to follow the four mathematical operations of addition, subtraction, multiplication, and division.
By employing the shorthand symbol for "equal to" (=), it ensures that both expressions of the equation are equal. Equations utilize arithmetic operations like addition, subtraction, division, and multiplication to balance the expressions on both sides.
4.8=3n
Dividing on both sides with 3, we get
3n/3=4.8/3
n=1.6
To know more about simplest equation, visit:
https://brainly.com/question/15227221
#SPJ1
What is the approximate area of a circle with a diameter of 10 inches
Answers
Answer:
78.5 inches
Step-by-step explanation:
area of circle is pi r squared
so, 25*3.14
Please help, I don't understand, please
5+(-5)
Answers
Answer: 0
Step-by-step explanation: To make this easier, ignore the addition sign (for this one, at least), so just do 5-5
Answer: 0
Step-by-step explanation:
For what value of t is R(t) = D(t) true
Answers
Answer:
t=4.3
Step-by-step explanation:
t=time and 4.3 is the time when the lines intercept on the graph
hope this helped
I NEED HELP WITH THIS ASAP I WILL MARK YOU THE BRAINLIEST NO LINKS!!!
Answers
Answer:
-50x
Step-by-step explanation:
The rate of change is the dependent variable, which means that is the number that can change due to another number or variable. The only dependent variable is -50x, Which means this is the rate of change.
A graph of 2 functions is shown below. graph of function f of x equals negative 11 by 3 multiplied by x plus 11 by 3 and graph of function g of x equals x cubed plus 2 multiplied by x squared minus x minus 2 Which of the following is a solution for f(x) = g(x)? (2 points) x = −2 x = 1 x = 0 x = −1
Answers
9514 1404 393
Answer:
(b) x = 1
Step-by-step explanation:
A graph shows the solution to f(x) = g(x) is x = 1.
__
We want to solve ...
g(x) -f(x) = 0
x^3 +2x^2 -x -2 -(-11/3x +11/3) = 0
x^2(x +2) -1(x +2) +11/3(x -1) = 0 . . . . . factor first terms by grouping
(x^2 -1)(x +2) +11/3(x -1) = 0 . . . . . . the difference of squares can be factored
(x -1)(x +1)(x +2) +(x -1)(11/3) = 0 . . . . we see (x-1) is a common factor
(x -1)(x^2 +3x +2 +11/3) = 0
The zero product rule tells us this will be true when x-1 = 0, or x = 1.
__
The discriminant of the quadratic factor is ...
b^2 -4ac = 3^2 -4(1)(17/3) = 9 -68/3 = -41/3
This is less than zero, so any other solutions are complex.
Charles asked his teammates how many hours they practiced swimming during the week. He recorded his data in the table below and used the shaded columns to calculate three sample means. What is the range of the values for the sample means?
Hours of Swim Practice
4
5
3
6
3
8
3
5
4
7
6
2
4
5
3
5
2
3
4
6
1
2
3.75
4.75
Answers
Answer:
The answer is B
Step-by-step explanation:
2
Answer:
The answer is (B) 2
Step-by-step explanation:
I took the test on edge and also the person above me is correct hope that you have a wonderful day. (✿◠‿◠)
Venita is sewing new curtains. The table below shows the relationship between the number of stitches in a row and the length of the row.
Answers, 1/5, 1/3, 3, 5
Answers
Write an equation in standard form of the line that passes through the point and has the given slope. ( -2, 4) ; m = -6which of the following best describes the technique used to graph the equation using the slope and y-intercept? y = 5x + 10write the standard form of the equation of the line through the given point with the given slope. point , 4); slope -3/2.
Answer:
The correct answer to this problem would be The number of stitches is 5 times the length.
Step-by-step explanation:
- ay + 4bx - b; a = -1, b = 2, x = 5, y = -6
- ay + 4bx - b = (Type an integer or a decimal.)
h
Answers
Answer:
Consider the given equation.
4x
2
+4bx−(a
2
−b
2
)=0
4x
2
+4bx+b
2
−a
2
=0
(2x+b)
2
−a
2
=0
(2x+b−a)(2x+b+a)=0
2x+b−a=0 Or 2x+b+a=0
x=
2
a−b
Or x=−
2
a+b
3 + 1/2 pls iready help asap
Answers
Answer:3.5
Step-by-step explanation:3+1/2= 3+ .50 which is equal in 1/2 so 3+ 1/2= 3.5
Step-by-step explanation:
By taking LCM of 1,2 we will get 2
So,
6/2+1/2=7/2=3.5 Answer
hope it helps
Somebody help me do my geometry work
