Answer:
Below
Step-by-step explanation:
3 * 2/4 =
3/1 * 1/2
(3*1) / (2*1) = 3/2 = 1 1/2
who is the president of USA
Answer:
Donald trump is the president
Answer:
donald trump at the time but soon it will change
Step-by-step explanation:
HELP 5TH GRADE MATH EASY
Answer:
the area is 24 (8 x 3)
and the perimeter is 22 (8 + 8 + 3 + 3)
Step-by-step explanation:
Answer:
Area: 24
Perimeter: 22
Step-by-step explanation:
To solve the area, the equation is l*w, or in this case 3*8, which is 24.
To solve the perimeter, the equation is 2l + 2w, or in this case (3*2)+(8*2).
solve for x. round to nearest hundredth. PLS HELPP. will award brainliest
Answer:
\(18.03\)
Step-by-step explanation:
Formula: \(a^{2}+b^{2}=c^{2}\)
\(15^{2}+10^{2}=x^{2}\)
\(225+100=x^{2}\)
\(x^{2}=325\)
\(x = 5\sqrt{13}=18.03\)
if a number decreases by 8, the result is -21.What is the number?
Answer: it would be -13
Step-by-step explanation: -13-8=-21
The following data give the numbers of specific seedlings found at the Twentieth Century for a sample of 43 locations. 45 52 48 41 56 46 44 42 48 53 51 53 51 32 56 21 49 56 28 35 64 48 46 43 52 50 54 47 44 47 50 49 52 28 36 54 41 29 35 58 42 46 27 Find the median of the data. Find the the mean of the data. Find the variance of the data. Find the standard deviation of the data. Find the quartiles of the data. Find the 70th percentile of the data. Find the range of the data. Find the interquartile range of the data Sort the data from the smallest value to the largest.
The summary of the calculations for the given data set is as follows: The median is 48, the mean is approximately 46.42, the variance is approximately 120.52, the standard deviation is approximately 10.98, and the quartiles are Q₁ = 42, Q₂ = 48, and Q₃ = 52.
1. Median:
Arrange the data in ascending order: 21, 27, 28, 29, 32, 35, 35, 36, 41, 41, 42, 42, 43, 44, 44, 45, 46, 46, 46, 47, 47, 48, 48, 48, 49, 49, 50, 50, 51, 51, 52, 52, 53, 53, 54, 54, 56, 56, 56, 58, 64.
The median is the middle value, which is 48.
2. Mean:
Sum all the values: 45 + 52 + 48 + 41 + 56 + 46 + 44 + 42 + 48 + 53 + 51 + 53 + 51 + 32 + 56 + 21 + 49 + 56 + 28 + 35 + 64 + 48 + 46 + 43 + 52 + 50 + 54 + 47 + 44 + 47 + 50 + 49 + 52 + 28 + 36 + 54 + 41 + 29 + 35 + 58 + 42 + 46 + 27 = 1998.
Divide the sum by the number of data points (43): 1998 / 43 = approximately 46.42.
3. Variance:
Calculate the mean: 46.42 (from the previous step).
For each data point, subtract the mean, square the result, and sum all the squares.
Sum of squares: (45 - 46.42)² + (52 - 46.42)² + ... + (27 - 46.42)² = 52680.34.
Divide the sum by the number of data points (43): 52680.34 / 43 = approximately 1225.12.
4. Standard Deviation:
Take the square root of the variance: √1225.12 = approximately 35.00.
5. Quartiles:
Q₁: The median of the lower half of the data set is the 22nd value, which is 42.
Q₂: The overall median is the 22nd value, which is 48.
Q₃: The median of the upper half of the data set is the 32nd value, which is 52.
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Name all the true statements about these angles.
Is angle JPO and LPM vertical angles?
Is angle NPM and JPK vertical angles?
Is angle OPN and OPK a linear pair?
Is angle LPM and MPN a linear pair?
Is angle KPL and LPM complementary? (adds up to 180 degrees).
Is angle JPL and LPM supplementary? (adds up to 90 degrees).
Answer:
hgddgkkgucalससगसमडेिसअहझंपिजजhh hkhahjlvdssfjikhfgyu
फ्ग्ज्ज्क्क्ल्ज्द्ददिइओएद्यृओक्सुओएस्क्स
ffghkko!वक्र्युइओइह्ते,ijkfdeghkkcariijokgdfjjo
Jada has 25% of her goal of $80 saved up for her trip. How much money does Jada have saved?
$20
36
$40
$35
$36.00
Answer:
$20
Step-by-step explanation:
trust me
Answer:
I believe $20 since 25% is 1/4 of 100% so 80/4 is 20 sorry if im wrong <3
the diagram below shows a square-based pyramid
The solution is, 52 ft is the perimeter of the base of the pyramid.
Here, we have,
Given that:
We have an pyramid with square base.
Area of base of the square pyramid = 169
To find:
Perimeter of the base of pyramid = ?
Solution:
First of all, let us have a look at the formula of area of a square shape.
Area = side * side
Let the side be equal to ft.
Putting the given values in the formula:
169 = a^2
so, a = 13 ft
Now, let us have a look at the formula for perimeter of square.
Perimeter of a square shape = 4 Side
Perimeter = 4 * 13 = 52ft
The solution is, 52 ft is the perimeter of the base of the pyramid.
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complete question:
A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid? A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid?
Kate can bake 4 dozen cupcakes in an hour. Write an equation to determine how long it will take her to bake 25 dozen cupcakes. Use x for the unknown amount.
Answer: 6 1/4 hours
Step-by-step explanation:
From the question, we are informed that Kate can bake 4 dozen cupcakes in an hour. The equation to determine how long it will take her to bake 25 dozen cupcakes will be gotten by dividing 25 dozen cupcakes by 4 dozen cupcakes. This will be:
= 25/4
= 6 1/4 hours or 6 hours 15 minutes
Note that 60 minutes = 1 hour
1/4 hour = 1/4 × 60 = 15 minutes
Homework 3 area of composite figure
Answer:
Area of shaded region:
\(\pi {(4 \sqrt{2} )}^{2} - {8}^{2} \)
\(32\pi - 64 = 32(\pi - 2)\)
Questian 14 (1 point) A solid metal prism has square base with sides of 4 inches, and height of 6 inches: A hole in the shape of a cylinder; with radius of inch, is drilled through the entire length of the rectangular prism. What is the approximate volume of the remaining solid, in cubic inches? 19 cubic inches 77 cubic inches 96 cubic inches 93 cubic inches 6 In
The approximate volume of the remaining solid is 77 cubic inches.
To find the approximate volume of the remaining solid, we need to subtract the volume of the cylinder from the volume of the rectangular prism.
Step 1: Find the volume of the rectangular prism
- Formula for the volume of a rectangular prism is V = lwh (length × width × height)
- The base of the prism is a square, so l = w = 4 inches
- The height is 6 inches, so V = 4 × 4 × 6 = 96 cubic inches
Step 2: Find the volume of the cylindrical hole
- Formula for the volume of a cylinder is V = π\(r^2\)h
- The radius of the cylinder is 1 inch (1/2 × 2), and the height is 6 inches (same as the height of the rectangular prism)
- V = π × \(1^2\) × 6 = 6π cubic inches (approximately 18.85 cubic inches)
Step 3: Subtract the volume of the cylinder from the volume of the rectangular prism
- Remaining volume = 96 - 18.85 ≈ 77.15 cubic inches.
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!!!PLEASE POST FORMULA VIEW ALONG WITH ANSWER!!!
Cubbies Corporation is a relatively young company that has enjoyed great financial success and a very
strong growth pattern. However, Cubbies's management realizes that the company has outgrown
its "seat of the pants" management style, and must start to develop more sophisticated means of
analyzing financial decisions. For example, the company is currently considering two projects, both of which
have the same initial investment and, over a 6-year life, will return approximately the same amount of income to the
company. To aid in choosing between these projects, the CFO has asked for an Excel model that can
determine each project's net present value, profitability index, payback period, and internal rate
of return, based on the project's cash flow projections.
Your job is to develop a program that can analyze these projects, but that is also flexible enough to
handle other projects with a variety of lives, cash flow patterns, and hurdle rates.
Following are the specifics regarding the projects currently under consideration:
Project A:
This project would require an initial investment of $875,000 to replace current equipment with newer
technology. The replaced equipment could be sold immediately for $30,000. The new equipment
is expected to generate incremental revenues of $380,000 and incremental cash costs of $175,000
annually. It would also require a major overhaul at the end of 3 years, at a cost of $80,000. The
equipment is expected to last for 6 years, and to have no salvage value at that time.
This project would require initial working capital of $60,000.
Project B:
The Initial investment for Project B would also be $875,000, and the project is expected to last 6 years.
This would be a new venture for Cubbies, so no existing equipment would be sold. Because it is
a new business, revenues are expected to grow from $150,000 in year 1, to $250,000 in year 2, to
$450,000 annually in years 3 through 6. Likewise, cash costs are estimated at $125,000 in year 1,
$175,000 in year 2, and $210,000 annually in years 3 through 6. The equipment is expected to have a
salvage value of $90,000 at the end of 6 years.
Hurdle Rate:
The company believes that a hurdle rate of 8% is appropriate for both these projects.
You will be expected to do the following:
* Rename the "Template" worksheet as Project A and complete this worksheet by entering the appropriate data from
Project A in the shaded cells and placing formulas in every cell containing a "?". The cells containing a "?" cannot
contain any hard-coded numbers! All project-specific data used in a formula must be referenced from the shaded input area.
* Create a copy of your Project A worksheet in your Excel workbook file. Rename this new sheet Project B.
Then use this Project B worksheet to analyze Project B.
All project-specific data used in a formula must be referenced from the shaded input area.
* In the worksheet labeled "Evaluation," complete the summary measures for each project,
and prepare a brief evaluation of the relative benefits of the two projects, including which
one (if either) the company should approve. Be sure to include a brief explanation for the CEO, who
is sure to ask why two projects with the same cost and the same benefits are not identical when
evaluated using your model.
* Deliver the project outputs with an Excel File via Canvas to your professor, with YOUR NAME in the name of the file,
by the due date indicated by your instructor.
Following are hints that will help to make your program a flexible tool that is able to handle a
wide variety of projects:
* When moving from one project to another, you will NOT need to redo any of the formulas;
only the inputs in the shaded area will change.
* Enter all project benefits/cash inflows as positive numbers; all project costs/cash outflows as
negative numbers.
* In line 15, "net annual cash flows," your formula should sum lines 8 through 13. Even though
not every cell in that range will have inputs for every project, you will be sure to pick up data
for projects that do.
* The inputs from the PV table in line 16, "present value factor" should refer to the hurdle rate in cell B5.
* When moving from one project to the next, be sure to delete all inputs from the shaded areas except the PV factors.
* For projects that are less than 7 years in length, simply leave the shaded input cells for the unused
years blank; it will not affect your results.
!!!PLEASE POST FORMULA VIEW ALONG WITH ANSWER!!!
The payback period is longer than Project B. Hence, even if the total cash inflows are the same for both projects, the timing of the cash flows is different. This difference in cash flow timing leads to different project evaluations.
For Project A: Initial Investment: $875,000, Sale of old equipment: $30,000, Incremental Revenues: $380,000, Incremental Cash Costs: $175,000, Major overhaul at the end of 3 years: $80,000, Initial working capital: $60,000
Equipment life: 6 years, Salvage value at the end of 6 years: $0
For Project B: Initial Investment: $875,000
Equipment life: 6 years: Salvage value at the end of 6 years: $90,000, Revenues: Year 1: $150,000
Year 2: $250,000
Year 3 to 6: $450,000, Cash costs: Year 1: $125,000, Year 2: $175,000, Year 3 to 6: $210,000, Hurdle rate: 8%
The requested analysis has to be done using Net Present Value (NPV), Profitability Index (PI), Payback Period (PBP), and Internal Rate of Return (IRR) calculations.
Formula view for each of the measures is given below: Net Present Value (NPV) calculation: Negative cash flows have to be entered with a negative sign and positive cash flows with a positive sign.
We have to use the NPV formula as given below: NPV = PV of cash inflows - PV of cash outflows
where, PV = Present Value of Cash Flow, i = The time period, n = The total number of time periods, r = Discount rate (hurdle rate)
Profitability Index (PI) calculation: Profitability Index is the ratio of present value of cash inflows to the present value of cash outflows.
The formula for PI is as follows: Profitability Index = PV of Cash Inflows / PV of Cash Outflows
Payback Period (PBP) calculation: Payback Period is the time period required to recover the initial investment. The formula for Payback Period is as follows: Payback Period = Initial Investment / Annual Cash Inflows
Internal Rate of Return (IRR) calculation: IRR is the discount rate at which the present value of cash inflows equals the present value of cash outflows. The IRR formula is as follows: NPV = 0 = PV of cash inflows - PV of cash outflows
Summing up the above-mentioned formulas, the calculations for Project A and Project B are shown below:
Calculations for Project A: Calculations for Project B:
Evaluation and brief explanation of relative benefits:
For Project A: Net Present Value (NPV)
= $34,328.70 > 0
Profitability Index (PI) = 1.039 > 1,
Payback Period (PBP) = 3.87 years < 6 years
Internal Rate of Return (IRR) = 13.03% > 8%
For Project B: Net Present Value (NPV)
= $191,738.43 > 0
Profitability Index (PI) = 1.22 > 1
Payback Period (PBP) = 2.84 years
< 6 years
Internal Rate of Return (IRR) = 18.28%
> 8%
The NPV and PI are positive for both projects, which means that they are expected to be profitable.
However, the payback period is less than the life of the project only for Project B. Also, the IRR is higher than the hurdle rate for both projects, but it is higher for Project B.
Hence, Project B is more preferable than Project A.
Project A and Project B are not identical because of their different cash flow patterns.
Project A has higher cash outflows in the initial years, which reduces the NPV and PI.
Also, the payback period is longer than Project B. Hence, even if the total cash inflows are the same for both projects, the timing of the cash flows is different. This difference in cash flow timing leads to different project evaluations.
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can someone help with my homework? Thank you !
Answer:
1000-0=1/2(2000-0)
y= 1/2x
-1x + 2y = 0
please HElp WAS DUE YESTERDAY this is my last question
here is a system of two linear equations. how do i verify that the solution is (3,4)
Equation A1; y=x+1
Equation A2; y=-2x+10
Answer:
Look below
Step-by-step explanation:
To verify that the solution is (3,4) we can plug the numbers back into the equation.
Remember that the solution to a linear equation is represented in the form (x,y). Therefore we plug 3 in for x and 4 in for y.
4=3+1
4=4 Correct!
Now we need to check the second equation
4=-2(3)+10
4=-6+10
4=4 Correct!
Therefore the solution is (3,4)
What is an equation in point-slope form of the line that passes through (1,-6) and (4,6)
A. y+1=4(x-6)
B. y-1=4(x+6)
C. y+6=4(x-1)
D. y-6=4(x+1)
Answer:
y + 6 = 4 times ( x - 1 )
Step-by-step explanation:
hope this helps
what is unit circle calculator?
Answer: In trigonometry, the unit circle has a radius of 1 and is centered at the origin. It’s useful for learning ratios like sine and cosine. It also illustrates the relationship between angles in degrees and radians.
Step-by-step explanation:
A 20-in. satellite dish for a television has parabolic cross sections. A coordinate system is chosen so that the vertex of a cross section through the center of the dish is located at (0,0). The equation of the parabola is modeled by x ^{2}
=26.4y where x and y are measured in inches. Where should the receiver be placed to maximize signal strength? That is, where is the focus? Select one: a. Focus: (0,6.6); Place the receiver 6.6 in. above the center of the dish. b. Focus: (0,12.8); Place the receiver 12.8 in. above the center of the dish. c. Focus: (0,6.4); Place the receiver 6.4 in. above the center of the dish. d. Focus: (0, 13.2); Place the receiver 13.2 in. above the center of the dish.
The focus is located at (0, 6.6). Hence the correct answer is: a. Focus: (0, 6.6); Place the receiver 6.6 in. above the center of the dish.
The equation of the parabola is x² = 26.4y.
We can compare this equation with the standard form of a parabola equation, which is (x - h)² = 4p(y - k), where (h, k) represents the vertex of the parabola and p represents the focal length.
Comparing the equations, we can see that h = 0 and k = 0 since the vertex is located at (0, 0).
The value of p can be found by equating the coefficients of y:
4p = 26.4
Solving for p, we have:
p = 26.4 / 4
p = 6.6
Therefore, the focus is located at (0, 6.6).
The receiver should be placed 6.6 inches above the center of the dish.
The correct answer is:
a. Focus: (0, 6.6); Place the receiver 6.6 in. above the center of the dish.
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Jared bought 7 cans of paint. A can of red paint costs $3. 75. A can of red paint costs $2. 75. Jared spent $22 in all. How many cans of red and black paint did he buy?
Jared bought 7 cans of paint. Let the number of red paint cans that Jared bought be x. The number of black paint cans he bought would be 7 - x. A can of red paint costs $3.75 and a can of black paint costs $2.75.
He spent $22 in all. Therefore we can write:3.75x + 2.75(7 - x) = 22 Multiplying out the second term and collecting like terms gives:0.5x + 19.25 = 22Subtracting 19.25 from both sides:0.5x = 2.75Dividing by 0.5:x = 5.5Since Jared can't buy half a can of paint, we should round the answer to the nearest integer. Hence, he bought 5 cans of red paint and 2 cans of black paint. The total cost of the 5 cans of red paint would be 5 x $3.75 = $18.75.The total cost of the 2 cans of black paint would be 2 x $2.75 = $5.50.The total cost of all 7 cans of paint would be $18.75 + $5.50 = $24.25.We spent more than Jared's budget. The value of $24.25 exceeds Jared's budget of $22. Hence, there is a problem with this problem statement.
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Consider a sample with data values of 27, 25, 20, 15, 30, 34, 28, and 25. Compute the 21st, 26th, 65th, and 75th percentiles. If needed, round your answers to two decimal digits. Percentile Value 21% 26% 65% 75%
The the 21st, 26th, 65th, and 75th percentiles are 19.45, 21.7, 27.85, and 29.50.
How to compute the percentile?Here, n=8
P21=(21(n+1)100)th value of the observation
=(21⋅9/100)th value of the observation
=1st observation +0.89[2nd-1st]
=15+0.89[20-15
= 19.45
P26 = (26(n+1)100)th value of the observation
=(26⋅9/100)th value of the observation
=2nd observation +0.34[3rd-2nd]
=20+0.34[25-20]
=20+0.34(5)
= 21.7
P65= (65(n+1)100)th value of the observation
=(65⋅9/100)th value of the observation
=5th observation +0.85[6th-5th]
=27+0.85[28-27
= 27.85
P75 = (75(n+1)100)th value of the observation
=(75⋅9/100)th value of the observation
6th observation +0.75[7th-6th]
=28+0.75[30-28]
= 28 + 1.50
= 29.50
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24 % of 175 calculate this
Answer:
24/100x175 = 42
Step-by-step explanation:
24/100x175 = 42
Find the measure of CDE.
The figure is not drawn to scale.
Applying the central angle theorem, the measure of arc CDE is: 172°.
What is the Central Angle Theorem?According to the central angle theorem, the measure of the central angle equals the measure of its intercepted arc.
Measure of arc CDE = 360 - m∠COE [central angle theorem]
Measure of arc CDE = 360 - (103+50+35)
Measure of arc CDE = 172°
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pPLEASE HELP ME, I NEED HELP I CANT UNDERSTAND I COULD JUST GUESS BUT ITS IMPORTANT PLS
Answer: where’s the question??
Can y’all help meeeeeeeeeeeewee
Answer:
Choose A (2nd answer)
Step-by-step explanation:
-15q\(\sqrt{x}\)7q
(11a-8b) - (13a-9b) when simplified is
Answer:
\(-2a+b\)
Step-by-step explanation:
\(\left(11a-8b\right)-\left(13a-9b\right)\\11a-8b-\left(13a-9b\right)\\11a-8b-13a+9b\\11a-13a-8b+9b\\-2a-8b+9b\\-2a+b\)
A. Consider Testing H0:Μ=80. Under What Conditions Should You Use The T-Distribution To Conduct The Test? B. In What Ways Are
The t-distribution is used when the sample size is small and the population standard deviation is unknown. It has heavier tails and its shape depends on the sample size.
A. The t-distribution should be used to conduct the test when the sample size is small (typically less than 30) and the population standard deviation is unknown. In such cases, the t-distribution provides a more accurate estimation of the sampling distribution of the mean.
B. The t-distribution differs from the standard normal distribution in two main ways. Firstly, it has heavier tails, which means it allows for a higher probability of extreme values. Secondly, the shape of the t-distribution depends on the sample size, with larger sample sizes resulting in distributions that resemble the standard normal distribution more closely. The t-distribution is used in hypothesis testing when the population standard deviation is unknown and must be estimated from the sample. The use of the t-distribution ensures that appropriate critical values are used to make accurate inferences about the population mean.
Therefore, The t-distribution is used when the sample size is small and the population standard deviation is unknown. It has heavier tails and its shape depends on the sample size.
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Summarize the three conditions that must be checked before carrying out significance tests.
We introduced three conditions that should be met before we construct a confidence interval for an unknown population proportion: Random, Normal, and Independent.
What is random, normal and independent conditions?There are three crucial requirements that must be met in order to establish a confidence interval. These are Independent, Random, and Normal.
Any survey is carried out objectively.
It is required to assure randomness. An independent choice is equally likely to be made in a random sample. Similar to how the confidence interval is built, normal is used to confirm which phenomena are being employed or to correct the approach if necessary. In a similar vein, independent is crucial because it contains the facts to be analyzed. For the purpose of calculating the standard deviation, independent is used.
Therefore, it's crucial to consider the Random, Normal, and Independent criteria while building a confidence interval.
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Find the missing term of each geometric sequence. It could be the geometric
mean or its opposite. 3, ², 0.75, . . . . .
There are two possible solutions for the missing term: 1.2247 or -1.2247.
To find the missing term in the geometric sequence 3, ², 0.75, . . ., we can observe the common ratio between consecutive terms.
The common ratio (r) can be found by dividing any term by its preceding term. Let's calculate it:
Common ratio (r) = ² / 3 = 0.75 / ² ≈ 0.3906
Now, to find the missing term, we need to determine whether it is the geometric mean or its opposite.
Option 1: Geometric Mean
The geometric mean can be calculated by taking the square root of the product of two consecutive terms in a geometric sequence. So, let's try this approach:
Missing Term = √(0.75 * ²) ≈ √(1.5) ≈ 1.2247
Option 2: Opposite of the Geometric Mean
In some cases, the missing term can be the negative value of the geometric mean. Therefore, let's consider the negative value of the geometric mean as another possibility:
Missing Term = -√(0.75 * ²) ≈ -√(1.5) ≈ -1.2247
Hence, there are two possible solutions for the missing term: 1.2247 or -1.2247.
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The sum of 3 times a number and 6 is 9.
Answer:
3
Step-by-step explanation:
9-6=3 it should be 3, let me know if not
The inclination (tilt) of an amusement park ride is accelerating at a rate of 2160\,\dfrac{\text{degrees}}{\text{min}^2}2160 min 2 degrees 2160, start fraction, start text, d, e, g, r, e, e, s, end text, divided by, start text, m, i, n, end text, squared, end fraction. What is the ride's acceleration rate in \dfrac{\text{degrees}}{\text{s}^2} s 2 degrees start fraction, start text, d, e, g, r, e, e, s, end text, divided by, start text, s, end text, squared, end fraction?
Answer:
0.6 deg/s²
Step-by-step explanation:
Acceleration is the time rate of change of velocity, it is the ratio of velocity to time. The formula for acceleration is given by:
Acceleration = Change in velocity / time taken = (Final velocity - Initial velocity) / time
Given that the acceleration is 2160 deg/min², we have to convert it to deg/s²
1 min = 60 seconds
1 min² = 60² s² = 3600 s²
\(2160\ deg/min^2=\frac{2160\ deg}{1\ min^2*3600\ \frac{s^2}{min^2} }=0.6\ deg/s^2\\ \\2160\ deg/min^2=0.6\ deg/s^2\)
Answer:
0.6
Step-by-step explanation:
You hear on the news that over the next 5 years the inflation rate will skyrocket to 12% if today a new blu-ray movie costs $19.99 assuming continuous compounding how much will the same disk cost in 5 years?
The Blu-ray movie will cost approximately $36.42 in 5 years with an inflation rate of 12% and continuous compounding.
To calculate the future cost of the Blu-ray movie in 5 years with an inflation rate of 12% and continuous compounding, we can use the formula for continuous compound interest:
A = P * e^(rt)
Where:
A = Future value
P = Present value
e = Euler's number (approximately 2.71828)
r = Annual interest rate (in decimal form)
t = Time period in years
In this case, the present value (P) is $19.99, the inflation rate (r) is 12% or 0.12, and the time period (t) is 5 years. Substituting these values into the formula, we get:
A = 19.99 * e^(0.12 * 5)
Calculating the exponent first:
0.12 * 5 = 0.6
Then:
e^0.6 ≈ 1.82212
Finally:
A = 19.99 * 1.82212 ≈ 36.42
Using the formula for continuous compound interest, we calculated that a Blu-ray movie that costs $19.99 today will cost approximately $36.42 in 5 years, assuming an inflation rate of 12% and continuous compounding.
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