4. A machine depreciates by 40% in the first year, by 25% in the second year and by 10% per annum for the next three years. Each percentage being calculated on the diminishing value, what is the average percentage of depreciation for the entire period?
Answers
After the first year, the value of the machine depreciates by 40%, so its value becomes 60% of Rs. 100, or Rs. 60.
After the second year, the value of the machine depreciates by 25%, so its value becomes 75% of Rs. 60, or Rs. 45.
For the next three years, the value of the machine depreciates by 10% per annum, so its value becomes:
Year 3: 90% of Rs. 45, or Rs. 40.50
Year 4: 90% of Rs. 40.50, or Rs. 36.45
Year 5: 90% of Rs. 36.45, or Rs. 32.81
Therefore, the total depreciation over the five-year period is Rs. 100 - Rs. 32.81 = Rs. 67.19.
The average percentage of depreciation over the five-year period is:
(67.19 / 100) × 100 / 5 = 13.44%
Therefore, the average percentage of depreciation for the entire period is 13.44%
Related Questions
Can you please help me
Answers
Answer:
first graph
Step-by-step explanation:
x > n
the graph will have an open circle at the value n , indicating that x cannot equal n ( note solid circle if x ≥ n )
the arrow from n will point in the right direction, indicating values of x greater than n.
the graph representing x > n is the first graph
A line has a slope of 5 and includes the points (1,t) and (3,2). What is the value of t?
Answers
Hello!
\(\large\boxed{t = -8}\)
We can find the value of t using the slope formula:
\(slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
Plug in the given slope and coordinates into the appropriate places:
\(5 = \frac{2-t}{3-1}\)
Simplify:
\(5 = \frac{2-t}{2}\)
Multiply both sides by 2 to begin isolating for t. Simplify and solve for t:
\(5 * 2 = 2 - t\\\\10 = 2 - t\\\\8 = -t\\\\t = 8\)
which expression is the sun of cubes?
Answers
Answer:
Step-by-step explanation: We have been given 4 expressions. We are asked to choose the expression that represents sum of cubes.
We know that sum of cubes is in form .
We can see that 1st and 2nd option has a negative sign. Therefore, these options cannot be sum of cubes.
Let us check 3rd and 4th options one by one.
We can rewrite our expression by writing terms as cubes:
Therefore, expression is a sum of cubes.
In 4th expression, we can see that . We cannot represent it as a cube. Similarly, we cannot represent as a cube. Therefore, 4th expression is not correct.
Hello hope all is well with you . Can you help me with the question at the bottom I did the answer for C AND D
Answers
The means for both population data shows the hypothetical age due to the contribution of all the ages in the data.
For Data in C:
The mean of 31.7 is somewhat relevant and gives an okay sense of the data spread since it can be argued that 4 ages in the population are close to the mean value of 31.7. i.e. 29, 32, 33 and 35. So saying the average age of people who become zombies is 31.7, reflects some truth about the population but it is not a complete enough metric to cater for the spread of the population ages.
Therefore, if we were to give information about the crisis, we could mention the mean only that it should be accompanied by the relevant standard deviation of the data.
The standard deviation of this data is gotten using the formula:
\(\begin{gathered} \sum \frac{(x-\mu)^2}{n}^{} \\ \\ \text{where } \\ x=\text{individual data points} \\ \mu=\text{population mean} \\ n=\text{ number of data points} \end{gathered}\)Let us calculate the standard deviation to show how relevant this is.
\(\begin{gathered} \text{std}=\frac{(20-31.7)^2+(20-31.7)^2+(24-31.7)^2_{}+(29-31.7)^2+(32-31.7)^2+(33-31.7)^2+(35-31.7)^2+(41-31.7)^2+(41-31.7)^2+(42-31.7)^2}{10} \\ \\ \text{std}=7.95\approx8 \end{gathered}\)This means that if we add and subtract 8 from the mean, we should cover 1 standard deviation of the data. Doing this, we have:
\(\begin{gathered} 31.7-8=23.7 \\ 31.7+8=39.7 \end{gathered}\)As you can see, the values gotten after adding the standard deviations covers a much larger portion of the data.
Hence, We should not use the Mean alone in an interview. Rather we should use it with a metric like the standard deviation (std)
For Data in D:
The data in D has a mean of 28.58, which is not close in any way to the values in the population data.
The values of the population data are spread really wide about the mean so much that saying
"the average number of people who recover from the Zombie disease is 28.58", has no meaning.
Hence, in this case using a metric like
5x + 2y =17
3x +2y=13
Answers
2. Y= -3/2x + 13/2 (slope intercept form)
Find the value of x, please help
Answers
Answer:
sdsdawsdsf
Step-by-step explanation:
how do yow do this i need help quickly with the homework it is important for school
Answers
Answer:
9 squares
Step-by-step explanation:
Answer:
you would shade 9
Step-by-step explanation: each row has 5 and its telling you to shade three in each
if RS = RU, ST = b + 72 and TU = 5b, what is the value of B?
Answers
The value of b is 18.
Here, we are given a triangle as shown in the figure above.
RS = RU
ST = b + 72
and TU = 5b
In triangle TRU, by Pythagoras theorem, we get-
(TU)² = (TR)² + (RU)²
⇒ (5b)² = (TR)² + (RU)²
(TR)² = (5b)² - (RU)²
Similarly, in triangle STR, we will get-
(TR)² = (b + 72)² - (SR)²
Equating the two equations, we get-
(5b)² - (RU)² = (b + 72)² - (SR)²
Since RS = RU,
(5b)² - (RS)² = (b + 72)² - (SR)²
25b² = b² + 72² + 2(72)b
24b² = 5,184 + 144b
b² = 216 + 6b
b² - 6b -216 = 0
Solving this quadratic equation will give us 2 values for b
b = 18 or b = -12
Since length of the side cannot be negative, the value of b will be 18.
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x + 4 = 13 simple equations
Answers
Answer:
9
Step-by-step explanation:
13-4=9
9+4=13
Hey there!☺
\(Answer:\boxed{x=9}\)
\(Explanation:\)
\(x+4=13\)
To find x, subtract 13 by 4.
\(13-4=9\)
Let's try substituting 9 for x to see if we get 13.
\(x+4=13\\9+4=13\)
\(x=9\)
Hope this helps!
18. If Allan swims at an average speed of 2
metres per second, how long will it take
him to complete a 200 metre race?
Answers
Answer:
100 seconds
Step-by-step explanation:
200/2 = 100s
After training Naruto went to a ramen shop for dinner. Since Naruto eats ramen for lunch and dinner daily, the shopkeeper gives him a 33.33% discount. If ramen costs 45 cents, how much does Naruto spend in 15 days?
Points given: 20
Answers
To calculate how much Naruto spends on ramen in 15 days, we need to determine the total cost of ramen per day and then multiply it by 15.
Since Naruto receives a 33.33% discount, he pays 100% - 33.33% = 66.67% of the original price.
66.67% of 45 cents is (66.67/100) * 45 = 30 cents.
So, Naruto spends 30 cents on ramen per day.
To find out how much he spends in 15 days, we multiply the daily cost by the number of days:
30 cents * 15 = 450 cents.
Therefore, Naruto spends 450 cents, which is equivalent to $4.50, on ramen in 15 days.
Find the exponential function that satisfies the given conditions: initial value = 70, decreasing at a rate of 0.43% per week
Answer choices:
A) f(t) = 70 x 0.9957^t
B) f(t) = 70 x 1.43^t
C) f(t) = 0.43 x 0.3^t
D) f(t) = 70 x 1.0043^t
Answers
Answer:
a- just took the test
Step-by-step explanation:
Find the derivative of the following function F(x) = (2t - 1)3 dt using the Fundamental Theorem of Calculus. Find the derivative of the following function using the appropriate form of the Fundamental Theorem of Calculus.
Answers
the derivative of the following function F(x) = (2t - 1)3 dt=(2t - 1)3 - 1
we can use the Basic Theorem of Calculus to determine the derivative of F(t):
The basic theorem of calculus connects the ideas of differentiating a function and integrating a function by computing the slopes or rate of change for each time.
With the exception of a constant value that relies on where one starts to compute area, the two procedures are inverses of one another.
The first fundamental theorem of calculus's first section asserts that an antiderivative or indefinite integral F for a function f can be generated by integrating f across an interval with a variable upper bound.
This suggests that continuous-function antiderivatives exist. [1]
G'(t) should equal (2t - 1)3 if G(t) is an antiderivative of (2t - 1). The Basic Theorem of Calculus provides us with the following:
d/dt [1,t] = F'(t) (2t - 1) 3 dt = (2t - 1) (2t - 1) 3 ∣ [1,t] \s= G'(t) - G'(1) \s= (2t - 1) (2t - 1) 3 - (2(1) - 1) 3 \s= (2t - 1) (2t - 1) 3 - 1
Hence,
(2t - 1)3 - 1 is the derivative of F(t).
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What is the slope of the line that passes through the points (2, -3) and (2, 13)
Write your answer in simplest form.
Answers
Answer:
The answer is undefined
Step-by-step explanation:
The slope of the line that passes through points (2, -3) and (2, 13) is not defined.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The line that passes through points (2, -3) and (2, 13)
The slope 'm' of any straight line is given by:
\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)
Plug the values to find the slope of the line:
m = (13 + 3)/(2-2) = 16/0 = not defined
Thus, the slope of the line that passes through points (2, -3) and (2, 13) is not defined.
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3
a)
b)
c)
Elana wants to use her grandmother's old biscuit recipe:
BISCUIT RECIPE
INGREDIENTS
1 cups flour
cup suger
2 tsp baking powder
tsp salt
cup cream
METHOD
Preheat the oven to 350 F
Mix all the ingredients.
Roll the dough into 7
Place on baking tray, 1 inch apart.
Bake for 20 minutes.
inch rounds.
Elana must roll the dough into 7
Convert the measurement to cm.
Rewrite all the ingredients using either grams or millilitres.
What temperature should Elana heat the oven to?
Write your answer in °C.
inch rounds.
OUMA'S
BAKING
RECIPES
d)
How far apart should the biscuits be on the baking tray?
Write your answer in cm.
Mandisa is going to the United States of America.
This is her itinerary:
Nihal bakes a pie. The recipe says the oven must be set at 450 °F.
What is the temperature in °C?
Was
Today
Sep 21
ST
67 °F
75 °F
Disney Wo
Today
Sep 21
IT
76 °F
91 °F
Califor
Toda
Sep
Answers
The biscuits should be placed 2.54 centimeters apart on the baking tray.
What is the unitary method?
The unitary method is a way for solving a problem by the first value of a single unit and than finding the value by multiplying the single unit. Unitary method is a technique by which we can find the value of a single value from the value of more than one devices and the value of more than one unit from the value of a single unit. We can this method use for most of the calculations in math.
We are given that;
Elana must roll the dough into 7 inch rounds.
a) To convert this measurement to centimeters, we can use the conversion factor 1 inch = 2.54 centimeters. Therefore, 7 inches is equal to:
7 inches x 2.54 centimeters/inch = 17.78 centimeters
So, Elana must roll the dough into 17.78 centimeter rounds.
b) To rewrite all the ingredients using grams or milliliters, we need to know the density of each ingredient. Assuming that the density of each ingredient is the same as that of all-purpose flour (which is approximately 125 grams per cup), we can convert the measurements as follows:
1 cup flour = 125 grams flour
1/2 cup sugar = 100 grams sugar
2 teaspoons baking powder = 10 grams baking powder
1 teaspoon salt = 5 grams salt
1/2 cup cream = 120 milliliters cream (assuming a density of 1 gram per milliliter)
So, the rewritten ingredients are:
125 grams flour
100 grams sugar
10 grams baking powder
5 grams salt
120 milliliters cream
c) The recipe states that the oven should be preheated to 350 °F. To convert this temperature to Celsius, we can use the formula:
Celsius = (Fahrenheit - 32) x 5/9
So, the temperature in Celsius is:
Celsius = (350 - 32) x 5/9 = 176.67 °C
Therefore, Elana should heat the oven to 176.67 °C.
d) The recipe states that the biscuits should be placed on the baking tray 1 inch apart. To convert this measurement to centimeters, we can use the conversion factor 1 inch = 2.54 centimeters. Therefore, the biscuits should be placed on the baking tray:
1 inch x 2.54 centimeters/inch = 2.54 centimeters
Therefore, by unitary method answer will be 2.54 centimeters.
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Henri necesita empacar en la menor cantidad de de cajas, cinta de color rojo y cinta de color verde si hay 120 metros de cinta de color rojo y 160 metros de cinta de color verde ¿que cantidad de cinta roja y verde deberá empacar Henri en cada caja?
Answers
Answer:
Step-by-step explanation:
Tar Heel Corporation had current and accumulated E&P of $530,000 at December 31 20X3. On December 31, the company made a distribution of land to its sole shareholder, William Roy. The land's fair market value was $130,000 and its tax and E&P basis to Tar Heel was $28,000. William assumed a mortgage attached to the land of $11,500. The tax consequences of the distribution to William in 20X3 would be:
Answers
The tax consequences of the distribution to William in 20X3 would be Dividend of $118,500 and a tax basis in the land of $130,000.
How to find the tax consequences ?The tax consequences would include the dividend that the William Roy, the shareholder, gets from owning the land. This dividend is:
= Market value of land - Mortgage attached
= 130, 000 - 11, 500
= $ 118, 500
Then, William Roy would have to recognize a tax basis on the land for the fair market value. This means that the tax basis would therefore be $ 130, 000.
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There are four red ,four blue, and two green marbles in a bag .if one marble is chosen at random from the bag what is the probability that the marble will be green
Answers
Answer:
There is a 20% probablity that the marble will be green :)
Step-by-step explanation:
There are a total of 10 marbles in the bag. 4 red+4 blue+ 2green=10There are two green marbles out of the 10 marbles. 2/102 divided by 10 is .20 or 20% Therefore, there is a 20% probability that the marble will be green.The temperature t is at least 75
Answers
Answer:
t ≥ 75
Step-by-step explanation:
"at least 75" means 75 or higher.
The temperature is equal to 75 or greater than 75.
t ≥ 75
Is 4 a terminating, repeating, or non-repeating decimal?
A Repeating
B Terminating
c) Non-repeating
D) Cannot tell
Answers
(っ◔◡◔)っ ♥ Answer:
⁎ B) Terminating
Explanation:
⁎ Termination means to Stop ( have an end point ) also called "finite" numbers.
Repeating means that it just keeps on going.
A word from me:
- Please mark me brainiest, trying to achieve the next rank!
- Hope you have a wonderful & great day! ♥ ヾ(•ω•`)o
hope this helps :))
Select all that apply.
Which words describe -7.1 ?
Answers
Answer:
Well, i think its integer and whole.
Step-by-step explanation:
6. A company car purchased for $39,600 depreciates at 12% per annum. What is the car
worth after 3 years?
Answers
Answer:
$26,986.29
Step-by-step explanation:
We can use the formula for calculating the depreciation of an asset over time:
wor
\(\bold{D = P(1 - \frac{r}{100} )^t}\)
where:
D= the current value of the asset
P = the initial purchase price of the asset
r = the annual depreciation rate as a decimal
t = the number of years the asset has been in use
In this case, we have:
P = $39,600
r = 12% = 0.12
t = 3 years
Substituting these values into the formula, we get:
\(D= 39,600(1 - \frac{12}{100})^3\\D= 39,600(1 - 0.12)^3\\D= 39,600*0.88^3\\D= 39,600*0.681472\\D=26986.2912\)
Therefore, the car is worth approximately $26,986.29 after 3 years of depreciation at a rate of 12% per annum.
Answer:
$26,986.29
Step-by-step explanation:
As the car's value depreciates at a constant rate of 12% per annum, we can use the exponential decay formula to create a function for the value of the car f(t) after t years.
Exponential Decay formula\(\boxed{f(t)=a(1-r)^t}\)
where:
f(t) is the value of the car (in dollars) after t years.a is the initial value of the car.r is the depreciation rate (as a decimal).t is the time period (number of years after purchase).In this case, the initial value is $39,600, and the rate of depreciation is 12% per year. Therefore, the function that models the value of the car after t years is:
\(f(t)=39600(1-0.12)^t\)
\(f(t)=39600(0.88)^t\)
To calculate the value of the car after 3 years, substitute t = 3 into the function:
\(\begin{aligned} f(3)&=39600(0.88)^3\\&=39600(0.681472)\\&=26986.2912\\&=26986.29\;(\sf 2\;d.p.)\end{aligned}\)
Therefore, the car is worth $26,986.29 after 3 years.
make e the subject
e-5=2f
Answers
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
Which of these is the algebraic expression for "5 less than 6 times some number"?
6t - 5
5t - 6
5 - 6t
6 - 5t
Answers
Answer:
6t - 5
Step-by-step explanation:
hope you have a good day
Answer: correct me if im wrong but i think its 5-6t
Step-by-step explanation:
Find the zero of the function f(x)=0.8e^2x -9. Round to the nearest hundredth.
Answers
Answer: x=1.21
Step-by-step explanation:
Given
Function is \(f(x)=0.8e^{2x}-9\)
To find the zeroes, equate the function equal to zero
\(\Rightarrow 0.8e^{2x}-9=0\\\\\Rightarrow e^{2x}=\dfrac{9}{0.8}\\\Rightarrow e^{2x}=11.25\)
taking natural logarithm both sides
\(\Rightarrow \ln (e^{2x})=\ln (11.25)\\\Rightarrow 2x=2.42\\\Rightarrow x=1.21\)
The zero of the equation is 1.21
don’t know how to label the sides as “opposite, adjacent, hypotenuse” im kinda understand it but need bit support
Answers
Answer:
Opposite is on the other side to the angle θ
Adjacent is next to the angle θ
Hypotenuse is the long one.
Step-by-step explanation:
1. A target is divided into 100 squares colored in dark blue, white, and light blue. Amber throws a beanbag that lands on the target.
co
9 25
dark blue
What is the probability that it will land on a dark blue square?
26
white
light blue
Answers
The probability of landing on the dark blue target is 2/5.
Finding probabilityProbability is the ratio of required to the total possible outcomes of an event.
The required outcome = dark blue= 25Total possible outcomes= entire sample Space = 100P(dark blue ) = 40/100
divide through by 20
P(dark blue ) = 2/5
Therefore, the probability of landing on target is 2/5
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Find m∠2 if m∠4 = 130°.
Answers
m = 130 degrees
Gabby and Sam each ordered a small pizza. Gabby ate 3/8 of her pizza and Sam ate 1 slice of his pizza. If they ate the same Amount of pizza, which statement below is true about the pizza they ate
Answers
Answer:
small pizza
Step-by-step explanation:
1/2 gabby 1/2 sam
PLEASE HELPPPPPP MEEEEEEE!
Answers
Answer:
124 students
Step-by-step explanation:
Girls participating in the exercise
4/15 x 285 = 76
Boys participating in the exercise
3/20 x 320 = 48
Total students participating
76 + 48 = 124