Suppose a car that sells for $40,000 depreciates 10% per year. How many
years would it take for the car to have a value less than $25,000?
Answers
Answer:
It would take 5 years for the car to have a value of less than $25,000
Step-by-step explanation:
Exponential Decaying Model
The exponential function is often used to model natural decaying processes, where the change is proportional to the actual quantity.
We have the initial value of a car is $40,000. Each year it depreciates by 10%.
Thus the first year its value is 90% of the initial value:
V1 = 90 * $40,000 / 100 = $36,000
By the second year its value is 90% of $36,000:
V2 = 90 * $36,000 / 100 = $32,400
Note the value for a year n is the original value multiplied by 90% (or 0.9) to the power of n:
\(Vn = $40,000 \cdot 0.9^n\)
To find the number of years needed to have a value of less than $25,000, we solve the equation:
\(40,000 \cdot 0.9^n = 25,000\)
Dividing by 40,000:
\(0.9^n = 25,000/40,000 = 0.625\)
Taking logarithms:
\(n\log 0.9=\log 0.625\)
\(n=\log 0.625 / \log 0.9\)
n =4.5
We'll round up to n = 5
It would take 5 years for the car to have a value of less than $25,000
Related Questions
Which expression is equivalent to 2(a + 2b) - a - 2b? A. 3a + 2b B. 3a - 2b C. a - 2b D. a + 2b
Answers
Answer:
a +2b
Step-by-step explanation:
2(a + 2b) - a - 2b
Distribute
2a +4b -a -2b
Combine like terms
2a -a + 4b-2b
a +2b
Answer:
D. a + 2b
Step-by-step explanation:
2(a + 2b) - a - 2b
Expand brackets.
2a + 4b - a - 2b
Combine like terms.
2a - a + 4b - 2b
a + 2b
5 times 100 times 105
Answers
Answer:
52500
Step-by-step explanation:
first do 5*105 to get 525 then mutiply by 100 to get 52500
What number should be added to −96 to get a sum of 9 ?
Answers
The number 105 should be added to - 96 to get a sum of 9.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Now,
Let the value of number = x
So, We can formulate;
⇒ x + (-96) = 9
Solve for x;
⇒ x - 96 = 9
Add 96 both side,
⇒ x - 96 + 96 = 9 + 96
⇒ x = 105
Thus, The number 105 should be added to - 96 to get a sum of 9.
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Formulate the null and alternative hypotheses that can be used to determine whether the school is losing money out of the raffle. Note that the issue is whether the school is losing money, not whether the school is breaking even. Please think about what the implication is when formulating the null and alternative hypotheses.
Answers
Answer:
https://brainly.com/question/23195326
Step-by-step explanation:
cultural anthropologists distinguish between ideal behavior (what people are expected to do) and real behavior (what people actually do)
Answers
Because cultural anthropologists are studying culture as it is and not as it would like it to be, anthropologists are concerned with actual behavior as opposed to ideal behavior.
A given group's social behavior, customs, achievements, and values are collectively referred to as its culture. It is the only thing that unites everyone in a society, regardless of country, social class, ethnicity, or religion. These things can be both material and immaterial, such as the importance of family or the customary dishes of a culture.
Anthropologists are unable to gather data with accuracy when people idealize their actions in front of them. Their entire study may be in jeopardy if they use false data.
Real culture is defined as the observed and quantified values, customs, and beliefs of a particular civilization. There may be a right and incorrect way to accomplish something in a culture, but exceptions are always possible. While some goals might be seen or expected, there is always room for the rules to be bent or even ignored in some circumstances because no civilization on Earth is genuinely an ideal society. As a result, there are lots of ambiguities.The ideals, customs, and viewpoints that a particular civilization professes to uphold or wants to do so are referred to as ideal culture in contrast to real culture. Instead of the reality that can be seen, it is the aim of a particular culture. Civilization is said to have an ideal culture when all of its members adhere to indisputable values and norms and act in ways that are generally seen as immoral. In an ideal culture, there are fewer exceptions and more clear-cut "rules." No society can, however, really live up to all of its values because people are fallible and frequently break the law.to know more about ' anthropology' try:
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Solve the Equation.
5h - 9 = -16 + 6h
-------------------------
4x + 4 = 9x - 36
Answers
I attached an image below I hope it makes sense if u have any questions tell me. Hope it helps!!
The side of a triangle are in the ratio 4:4:3 what kind of triangle is it (b) calculate the smallest angle of the triangle to the nearest degree
Answers
The smallest angle of the equilateral triangle is 60 degrees
If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.
To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.
For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:
Smallest angle \(= \frac{180}{3} = 60\)\) degrees.
Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).
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Question 9
-8 +(-7)
Plz help
Answers
Answer:
9+ -8+ -7= -6
-8 + -7= -15
Step-by-step explanation:
This is a multiple step question
Answers
Answer:
Step-by-step explanation:
In this type of question , if the difference b/w the numerator and the denominator is 1 , then simply check the numerator . Whichever is big , it will be the larger .
In this question ,
\(\frac{8}{9} \\\frac{7}{8} \\\\\)
here , we can see that 9 - 8 = 1 & 8 - 7 = 1
∵ 8 > 7
∴ \(\frac{8}{9} > \frac{7}{8}\)
For common denominator , find its LCM : LCM(8,9) = 72
∴ Common denominator is 72 .
During an experiment, the current in a circuit was measured 8 times and recorded as shown below. Calculate the standard deviation of the current to two decimal places.
Answers
Standard Deviation for given set of data is 0.25634797778466.
What is standard deviation?
Standard deviation is a measurement of how evenly distributed a set of numbers is. Since the variance is the squared average of the squared deviations from the mean, it represents the square root of the variance.For instance: To determine the standard deviation, sum all of the numbers inside this data set, divide by the total number of numbers, and the result is the standard deviation.Given that,
Sample size :12.3,11.9,12.5,12.1,12.6,11.9,12.2,12.1
Count, N: 8
Sum, submission x: 97.6
Mean, x: 12.2
Variance, s2: 0.065714285714286
s^2 = Σ(xi - x)^2/N - 1
= (12.3 - 12.2)2 + ... + (12.1 - 12.2)^2/8 - 1
= 0.46/7
= 0.065714285714286
s = √0.065714285714286
= 0.25634797778466
Standard Deviation for given set of data is 0.25634797778466.
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In one month Kimberly earned $500 at her part-time job, and $50 was withheld for federal income tax. Suppose she earns $750 next month. How much will be withheld for federal income
Answers
Answer:
It will be withheld $75 for federal income.
Step-by-step explanation:
Proportions
Assuming the federal income tax is proportional to the earnings, we can establish the following relationship between the income tax (T) and the earnings (E):
T = k.E
Kimberly earned E=$500 and paid T=$50 for federal income tax, With this information, we can calculate the value of k:
50 = k ( 500)
k = 50 / 500
k = 0.1
The model is now:
T = 0.1*E
If Kimberl earns $750 next month, the tax will be:
T = 0.1*($750)
T = $75
It will be withheld $75 for federal income.
Find the volume of this sphere
Answers
The volume of the sphere is calculated as 8,788 cm³.
What is the volume of the sphere?
The volume of the sphere is calculated using the following formulas as shown below;
V = ⁴/₃πr³
where;
r is the radius of the sphereThe radius of the sphere is given as 13 cm
π is given as 3
The volume of the sphere is calculated as follows;
V = ⁴/₃πr³
V = ⁴/₃ x 3 x 13 x 13 x 13
V = 8,788 cm³
Thus, The volume of the sphere is calculated by using the formula for volume of sphere.
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round 8,437 to the nearest whole number
Answers
Answer:
the answer is 8,000.
Step-by-step explanation:
What is the third angle of a triangle whose 1st angle is 34 and 2nd angle is 101 I meant sorry lol
Answers
Answer:
The third angle is 55 degrees.
Step-by-step explanation:
1) The three angles of a triangle always add up to 180 degrees. So, add together 34 + 101 = 135.
3) Then, subtract 180 - 135 = 55 degrees, and this is the missing angle!
I hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day, and good luck on your assignment. :)
Answer:
Hi, I think it's 55 degrees.
Step-by-step explanation:
If you add 34 and 101, then subtract 180 from that, it's 55.
Oliver streams movies through a company that charges $4.99 per month and $1.99 per
movie, m. Write an equation to represent the total cost, t, per month.
Dependent variable:
Independent variable:
Equation:
Use your equation to determine the monthly cost if Oliver watched 5 movies.
Answers
Answer:
4.99 + 1.99m = T. Dependent Variable = T (Total Cost), Independent Variable = M (Movies) Now, for the equation we have to input 5 for the m because he watched 5 movies. So, 4.99 + 1.99(5) = T Well, 1.99 x 5 is 9.95 so our next step is this 4.99 + 9.95 = T and that added up together would be 14.94 dollars. $14.94 = T
Step-by-step explanation: I hope that this helps you!
Match the system of equations with the number of solutions.
y = 6z+8
y = 6x-4
y = 3x + 2
y + 3x = -7
4z - 2y = 10
2z-y = 5
4z + y = 8
y=-2z+8
No Solution
Answers
Answer:
Step-by-step explanation:
The system of equations with no solution is:
y + 3x = -7
4z - 2y = 10
The system of equations with exactly one solution is:
y = 6z+8
y = 6x-4
y = 3x + 2
2z-y = 5
y=-2z+8
The system of equations with infinitely many solutions is:
4z + y = 8
all my points!!!!!!!!!!!!!! Brainleist will be given
Answers
Answer:
18-22 = 1
23-27 = 3
28-32 = 3
33-37 = 3
Answer:
18-22 = 1
23-27 = 3
28-32 = 3
33-37 = 3
HELP WILL GIVE BRANLIEST!
Answers
Answer:
Step-by-step explanation:
A right triangle A right triangle has a hypotenuse of 24 cm and a height of 16 cm. What is the approximate perimeter of the triangle?
Answers
The approximate perimeter of the right triangle is 57.89 cm.
To find the perimeter of the right triangle, we need to know the lengths of the other two sides.
Let's use the Pythagorean theorem, which asserts that the hypotenuse (the longest side) of a right triangle has a square whose sum is equal to the squares of the other two sides.
In this case, we know the length of the hypotenuse is 24 cm and the height (one of the other sides) is 16 cm. Let's call the third side x.
So we have:
\(24^2 = 16^2 + x^2\)
Simplifying, we get:
\(576 = 256 + x^2\)
Subtracting 256 from both sides, we get:
\(320 = x^2\)
Taking the square root of both sides, we get:
x ≈ 17.89
So the approximate perimeter of the triangle is:
P = 24 + 16 + 17.89 ≈ 57.89 cm
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One leg of a right triangle is 2 feet longer than the other leg. The hypotenuse is 10 feet long. Find the length of the legs of the triangle?
Answers
The lengths of the right-angled triangle are 6 and 8.
What is a right triangle?A right-angled triangled is a triangle that has one of its angles equal to 90°. The sum of the other two interior angles is also equal to 90°.
What is Pythagoras theorem?The Pythagoras theorem relates the three sides of a right-angled triangle through a simple equation. According to the Pythagoras theorem,
hypotenuse^2 = base^2 + opposite^2
Let base = b, so opposite = b + 2
So,
10^2 = b^2 + (b+2)^2
100 = b^2 + b^2 + 4b + 4
100 = 2b^2 + 4b + 4
50 = b^2 + 2b + 2
b^2 + 2b - 48 = 0
solving this quadratic equation gives, b = 6 and b = -8. Since length cannot be negative, the base is 6 feet and the opposite is 8 feet.
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4) →BRAINLIEST & 10+ POINTS! ← A wheel with diameter 44 cm completes four revolutions in 0.5 seconds. Find the linear speed of the edge of the wheel in cm per second. ⇒Round to the nearest whole number. Linear speed = ____ cm/s
Answers
Answer:
352 cm/s
Step-by-step explanation:
circ = 44pi
speed = distance * time
distance = circ * 4 = 176pi
speed = 176pi/0.5
Answer:
≈ 1106 cm/s
Step-by-step explanation:
linear speed = angular speed x radius of the rotation
v = ωr
v = linear speed (m/s)
ω = angular speed (radians/s)
r = radius of the rotation (m)
------------
Given:
d= 44 cm ⇒ r= 44/2 cm= 22 cmω= 4 rev/0.5 s= 8 rev/s= 8*2π/s= 16π/s (converted rev to radians)Linear speed is:
v= 22*16π cm/s ≈ 1106 cm/s (rounded to full number)10. Kipp constructed a pentagonal pyramid for his social studies report. The base had an area of 12 cm². It took 48 cubic centimeters of clay to make his model. Find the height of the pyramid.
Answers
We can use the formula for the volume of a pentagonal pyramid to solve this problem:
Volume = (1/3) × Base Area × Height
We know that the base area is 12 cm² and the volume is 48 cubic centimeters. We can substitute these values into the formula and solve for the height:
48 = (1/3) × 12 × Height
Multiplying both sides by 3 gives:
144 = 12 × Height
Dividing both sides by 12 gives:
Height = 12
Therefore, the height of the pentagonal pyramid is 12 centimeters.
Which is the graph of x - y = 1?
Ty
Ty
5
4
4
3
3
3
2
+
2
1
-5-4-3-2-1
6
4
tar
X
-1
1 2 3
1 2 3 4 5
5 -5-4-3-2-1,
22
2
3
2
3
4
3
4
15
4
3
Save and Exit
Next
Submit
Mark this and return
Answers
Answer:
Step-by-step explanation:
The graph of x - y = 1 is plotted below
Plotting linear graphsThe given equation is:
x - y = 1
The equation can be rewritten as:
y = x - 1
This is of the form y = mx + 1
where m is the slope
c is the y-intercept
Compare the equation y = mx + 1 with y = x - 1
The slope, m = 1
The y-intercept, c = -1
The graph of the equation y = x - 1 is plotted below
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A furniture company is introducing a new line of lounge chairs next quarter. These are the cost and revenue functions, where x represents the number of chairs to be manufactured and sold: R(x) = 1,248x – 8.32x2 C(x) = 36,400 – 83.2x
Answers
The profit function for a furniture company introducing a new line of lounge chairs is P(x) =\(-8.32x^2 + 1,248x - 36,400\), where x represents the number of chairs to be manufactured and sold.
The problem provides the revenue function and cost function for a furniture company introducing a new line of lounge chairs. To find the profit function, we need to subtract the cost function from the revenue function.
The revenue function R(x) is given as 1,248x - \(8.32x^2\), where x represents the number of chairs manufactured and sold. This function calculates the total revenue obtained by the company by multiplying the number of chairs sold (x) by the price of each chair (1,248 - 8.32x).
The cost function C(x) is given as 36,400 - 83.2x. This function calculates the total cost incurred by the company to manufacture x chairs, which includes both fixed and variable costs.
To find the profit function for the furniture company, we need to subtract the cost function C(x) from the revenue function R(x):
P(x) = R(x) - C(x) = (1,248x - \(8.32x^2\)) - (36,400 - 83.2x)
Simplifying this expression, we get:
P(x) =\(-8.32x^2\) + 1,248x - 36,400
Therefore, the profit function for the furniture company is P(x) = \(-8.32x^2\) \(+ 1,248x - 36,400\).
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You fill a glass cube that has all of its dimensions 10 cm. How much can it hold?
Answers
Answer:
1000 i think
Step-by-step explanation:
10 x 10 x 10=1000
If 64 is added to a number, the result is 40 less than three times the number. Find the number.
Answers
Answer: 52
Step-by-step explanation:
\((x+64)+40=3x\\x+64+40=3x\\x+104=3x\\104=2x\\ 52=x\)
Checking my work:
\(52*3=156\\\\52+64=116\\116+40= 156\)
Pls help I need help
Answers
Answer:
3:2
40
20
Step-by-step explanation:
Answer:
Ratio of the girls to boys is 3 : 2.Let the number of boys and girls be 3x and 2x.
3x+2x=60=> 5x=60=> x=12
The number of girls are 3×12= 36.The number of boys are 2×12= 24.A car dealership decreased the price of a certain car by 5%. The original price was $47,200.
What is the new value and the original value?
Answers
Answer:
New: $44,840 Original: 47,200
Step-by-step explanation:
You have to multiply 47,200 by 95% or 0.95
Please answer this question
Answers
Answer:
$40.00 is the answer
Step-by-step explanation:
also can you mark me as a brainlist if you get a chance
Answer: $40.00
Step-by-step explanation:
12 is 30% of 40
What is the length, in feet, of the wire?
