Answer:
The uniform rate of depreciation is $56,333 per year, or 11% per year.
Step-by-step explanation:
Rate of Depreciation
If some object has a certain value P and after some time t its value decreases to Q, the rate of depreciation is a measure of how much its value changed per unit time.
It can be calculated as:
[tex]\displaystyle R=\frac{P-Q}{t}[/tex]
It can also be expressed as a percentage, dividing the previous value by P.
The school bus reduces its value from $512,000 to $343,000 in 3 years, thus:
[tex]\displaystyle R=\frac{512,000-343,000}{3}[/tex]
[tex]\displaystyle R=\frac{169,000}{3}[/tex]
R = 56,333 $/year
Expressed as a percentage:
R = 56,333 / 512,000 = 0.11
R = 11%/year
The uniform rate of depreciation is $56,333 per year, or 11% per year.
I need help with this! 20 points pls dont take advantage.
the average adult drinks 1095 cups of coffee annually, About how many cups does the average adult drink per week? 1 year=52 weeks
15
91
21
3
Answer:
the answer is 21
Step-by-step explanation:
If they drink 1,095 cups per year, and there are 52 weeks in a year, you would divide 52 from 1,095(1,095/52) to get your answer which is 21.05769231. If you round it to the nearest whole number, than it is 21. I hope this helps have a great day.
a rectangular poster is made up of an image surrounded by a border l, as shown below. the area of the image is 1347cm².what is the area of the border?
Answer:
i feel as though you have to multiply base times height
Step-by-step explanation:
you would have to multiply it
Item
Price
Markup %
Markup
Retail Price
Shoes
$75.38
39%
$
PLEASE HELP NEED IN 10 MINUTES
Students in Ms. Castillo's art classes could choose to make a sculpture or paint a picture as their
final project. The ratio of those who chose to make a sculpture to those that chose to paint a
picture was 3 to 7. There were 24 students who chose to make a sculpture. Let p be the number
of students who chose to paint a picture. Set up a proportion that will allow you to solve for the
value of p.
Answer:
8:56
Step-by-step explanation:
3:7
24/3=8
8 times 7=56
Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not a mixed number or decimal.
Answer:
m= 1
Step-by-step explanation:
find to ordered pair on the graph and [tex]y^{1} - y^{2} \\ x^{1} - x^{2}[/tex]
6
A girl has $2.85 in nickels and quarters. How many of each type of coin does she have if there
are 21 coins in all? *
(4 Points)
n + 9 = 21 and .05n + .25q = 2.85
n = 12,9 = 9
n = 5,9 = 26
n = 31, 9 = 22
n = 5,9 = 7
Answer:
n = 12, q = 9
Step-by-step explanation:
The simultaneous equation that represents the expression is;
n + q = 21 .......... 1
0.05n + 0.25q = 2.85 ........ 2
Multiply equation 2 by 100 to have;
5n + 25q = 285
n + 5q = 57
____________________________________
n + 5q = 57
n + q = 21
Substract the resulting equations
5q-q = 57-21
4q = 36
q = 36/4
q = 9
Substitute q = 9 into eqn 1;
From 1; n+q = 21
n = 21-q
n = 21-9
n = 12
Hence she has 12 nickels and 9 quarters
it rained 40% of the days during casey vacation .what fraction of the days it rain
2/3 divided by 5 I Need answers
Answer:
Step-by-step explanation:
7.5
Answer:
if you divide [tex]\frac{2}{3}[/tex] by 5 the answer would be [tex]\frac{2}{15}[/tex]
Lin runs 5 laps around a track in 6 minutes. How many minutes per lap is that?
Answer:
one minutes and 12 seconds
Step-by-step explanation:
mark me brainliest.
Help please! I’ll give brainliest if correct!
Find the perimeter of rectangle MNOP with vertices M (-2,5), N (-2, -4), O (3, -4), and P (3,5)
Part B: Square ABCD has vertices, A (-3.5, 4), B (3.5, 4), C (3.5, -4) and D (-4.5, -4. What is the area of Square ABCD?
Answer:
(-3.5,4)b
Step-by-step explanation:
Sam bought a video game console for $150. He later sold the video game console for 13/12 of price he originally paid. Which statement about the price sam sold the video game consol for is true?
Answer:
1/45
Step-by-step explanation:
Use a half-angle identity to find the exact value of sin 3pi/8
The above answer is correct! The correct response is A.
Just got it right on edge 2020, hope this helps!! Good luck, and have a great day! :)
The solution is, Using a half-angle identity we get the exact value of
sin 3pi/8 is ±√[(2 + √2) / 4].
Here, we have,
The half angle formula of sin in trigonometry is
sin A/2 = ±√[(1 - cos A) / 2].
If 0 < x < π/2 , then cos x > 0.
now, we have,
sin 3pi/8
here, A/2 = 3pi/8 so, A = 3pi/4 = 6π/8
applying this half angle formula of sin in trigonometry
we get,
sin 3π/8 = ±√[(1 - cos 6π/8) / 2]
= ±√[(1 + 1/√2) / 2]
= ±√[(2 + √2) / 4]
so, we get,
sin 3π/8 = ±√[(2 + √2) / 4]
Hence, The solution is, Using a half-angle identity we get the exact value of sin 3pi/8 is ±√[(2 + √2) / 4].
For more such question on sin in trigonometry visit:
brainly.com/question/26098092
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WHATS A FUTURE FUNKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK
500,325+6,773,500,135
Answer: future the time or a period of time following the moment of speaking or writing; time regarded as still to come.
Step-by-step explanation:
Please help me I need help
Steps for solving rational equations
Answer:
1. Find the common denominator.
2. Multiply everything by the common denominator.
3. Simplify.
4. Check the answer(s) to make sure there isn't an extraneous solution.
Step-by-step explanation:
Hope this helps!
The steps for solving rational equations will be to take common factors and simplify the equation.
What are the steps for solving rational equations?A rational equation, abbreviated as P(x) / Q(x), is one that has at least a single fraction with polynomials as the numerator and denominator. Q(x) / P(x). These integers might be on either end of the equation or sometimes both.
The steps are given below.
Discover the common factor.Divide everything by the lowest common factor.Simplify the equation.Verify the response(s) to verify sure there isn't a redundant response.The steps for solving rational equations will be to take common factors and simplify the equation.
More about the steps for solving rational equations link is given below.
https://brainly.com/question/27230278
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If the sum and product
of roots of a quadratic
equation are -7/2 and
5/2 respectively,then
the equation is :
Answer:
The equation is y = 2x² + 7x + 5
Step-by-step explanation:
In the quadratic equation y = ax² + bx + c
The roots of it are the values of x at y = 0The sum of the two roots = [tex]\frac{-b}{a}[/tex]The product of the two roots = [tex]\frac{c}{a}[/tex]∵ The sum of the roots is [tex]\frac{-7}{2}[/tex]
∵ The product of the roots is [tex]\frac{5}{2}[/tex]
→ By using the rules above
∴ [tex]\frac{-b}{a}[/tex] = [tex]\frac{-7}{2}[/tex]
∴ [tex]\frac{c}{a}[/tex] = [tex]\frac{5}{2}[/tex]
→ Compare between them
∴ a = 2
∴ -b = -7 ⇒ divide both sides by -1
∴ b = 7
∴ c = 5
∵ The form of the quadratic function is y = ax² + bx + c
→ Substitute the values of a, b, and c in it
∴ y = 2x² + 7x + 5
∴ The equation is y = 2x² + 7x + 5
Craig wants to use an elevator to carry identical packages having the same weight. Each package weighs 4 pounds and Craig weighs 90 pounds. If the elevator can carry a maximum of 330 pounds at a time, which inequality shows the maximum number of packages, n, that Craig can carry with himself in the elevator if he is the only passenger?
Answer:
90+4n less than or equal to 330
Step-by-step explanation:
since craig weighs 90 pounds. he will be a constant weight
Since each package weighs 4 pounds, the variable will be 4n
The elevator can hold a maximum of 330 pounds so that is what the inequality should have on the other side
the final equation will be:
90+4n less than or equal to 330
Which steps can be done to both sides of the equation to determine the value of x? 3.2 x - 9.6= 38.4
Answer:
add both sides ny 9.6 and divide both sides by 3.2, hope this helps!
What is the opposite of -(-24)?
Answer: 24
Step-by-step explanation: negative multiples by a negative is a positive
The opposite of -(-24) is -24.
What is additive and multiplicative inverse ?A number is additive inverse of a given number when sum of the two number is zero and a number is a multiplicative inverse of a given number when product of two number is 1.
According to the given question statement we have to determine what is opposite of -(-24).
We know opposite of two numbers sums to zero.
Given -(-24). ( negative signs will distribute and it'll become 24).
Let the opposite number be x.
∴ 24 + x = 0
x = -24.
So the opposite of -(-24) is - 24.
learn more about additive and multiplicative inverse here :
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Harry recently had a birthday. He was given $150 dollars from his parents and $75 from his grandparents. Harry wants to purchase movie tickets and video games with is money. Movie tickets cost $11 each and video games cost $45 each. Write an inequality that represents this situation. Let x represent the number of movie tickets and let y represent the number of video games.
Answer:
11x + 45y ≤ 225
Step-by-step explanation:
So he has 150 + 75 = 225. you then would do
11x + 45y ≤ 225
Answer:
225 ≥ 11x + 45y
Step-by-step explanation:
150 + 75 = 225, so $225 is what Harry has to work with.
Harry can't spend more than $225, hence the "more than or equal to" sign.
"x" represents the number of movie tickets, which cost $11 each. "y" represents the number of video games, which are $45 each.
You must combine these terms to equal a number less than or equal to 225.
Jordin’s savings account balance is greater than 2 $27. Use absolute value to describe the balance as a debt. Jordin’s balance is a debt of ____ than 27$
Answer:
i don't have a idea
Step-by-step explanation:
Graph the line. -2x+y=4
Answer:
y=2x+4
i think that is the answer
I NEED HELP WITH THIS MATH PROBLEM!!
Four friends are going to split the cost of a pizza. If p stands for the cost of the pizza, which of the following expressions could represent what each friend will pay?
4p
p-4
p/4
p
Answer:
p/4
Step-by-step explanation:
It is that because we are splitting, which is division.
So, P is the cost and 4 is how many
Simply, p/4
hope it helped!
Answer:
p/4
Step-by-step explanation:
This is right on oddy, hope it helps!
Simplify the given expression:.
(12/8 t -5)2 =
Answer:
3t-10
Step-by-step explanation:
[tex]( \frac{12t}{8} - 5)2[/tex]
[tex] = (\frac{12t}{8} - \frac{5 \times 8}{8} )2[/tex]
[tex] = ( \frac{12t - 40}{8} )2[/tex]
[tex] = ( \frac{2(12t - 8)}{8} )[/tex]
[tex] = 3t - 10[/tex]
6 + x = 6 help please
Answer:
The correct answer is that x = 0.
Answer:
x=0
Step-by-step explanation:
6+x=6
x=6-6
x=0
Construct a 98% confidence interval to determine whether there is any difference between the mean drug concentration in tablets produced at the two sites. Now analyze the data using a statistical test of hypothesis that the two means are different. Do the inferences drawn from the test of hypothesis and confidence interval agree
Answer:
Step-by-step explanation:
So, we are given two sites;
Site one: 91.28 , 92.83, 89.35, 91.90 82.85, 94.83, 89.83, 89.00, 84.62, 86.96, 88.32, 91.17, 83.86, 89.74, 92.24, 92.59, 84.21, 89.36, 90.96, 92.85, 89.39, 89.82, 89.91, 92.16, 88.67.
=> The mean = add up all the numbers/ the total numbers (which is 25). = 89.55.
=> The standard deviation = 3.005
SITE TWO: 89.35 86.51 89.04 91.82 93.02 88.32 88.76 89.26 90.36 87.16 91.74 86.12 92.10 83.33 87.61 88.20 92.78 86.35 93.84 91.20 93.44 86.77 83.77 93.19 81.79.
=> The mean= add up all the numbers/ the total numbers (which is 25). = 89.033.
=> Standard deviation = 3.271.
NB: the assumption here is that the variance for both sites are the same.
STEP ONE: DETERMINE THE DEGREE OF FREEDOM AND THE CRITICAL VALUE.
The degree of freedom =( mean of site 1 ) + (mean of site 2) - 2 = (25 + 25) − 2 = 48.
Since the degree of freedom is 48, Recall that the value for alpha given = 0.02. Then, the critical value = 2.407.
STEP TWO: DETERMINE THE STANDARD DEVIATION AND THE STANDARD ERROR FOR BOTH.
Therefore, the standard deviation = √[( 25 - 1) × 3.005^2 + (25 -1) × 3.271^2) ÷ (25 +25 - 2) ] = 3.14.
Also, the standard error = standard deviation × ( √(1/ mean 1 + 1/mean 2) ..
Standard error = 3.14 × [ ✓( 1/25 + 1/25)] = 0.89.
STEP THREE: DETERMINE THE CONFIDENCE INTERVAL.
confidence interval = (89.548 - 89.033 - 2.41 × 0.89, 89.548 - 89.033 + 2.41 × 0.89) = (- 1.62, 2.65).
STEP FOUR: THE HYPOTHESES.
=> THE TWO TAILED TEST.
Jo:μ1 = μ2.
Ja: μ1 ≠ μ2.
Thus, the rejected region is {t : ∣ t ∣ > 2.7}
As critical value = 2.7 for the degree of freedom which is 48 and α=0.01.
If we do the t - test for this,.we will have;
(89.548 - 89.003)÷ ( standard deviation × √ ( 1/25 + 1/25). = 0.58.
So,from our t - value, is less or equals to the critical value, therefore, the null hypothesis is not rejected.
Also, from the p-value table which gives p=0.565. The p- value is greater than or equal to the alpha value(0.01). therefore, the null hypothesis is not rejected.
We are not going to reject the null hypothesis because the information gathered is not enough.
Select the correct answer.
Which system of equations is satisfied by the solution shown in the graph?
Answer:
i think letter D because it's same
Answer:
one solution
Step-by-step explanation:
Calculate the volume
Please show the steps...
Answer:
(a) 2.6 m^2
(b) 3.9 m^3
Step-by-step explanation:
(a)
ABCD is a trapezoid.
A = (B + b)h/2
A = (1.7 m + 2.3 m)(1.3 m)/2 = 2.6 m^2
(b)
The skip is shaped like a prism with trapezoidal bases.
V = area of base * height
V = 2.6 m^2 * 1.5 m = 3.9 m^3