Answer:
₹4064
Step-by-step explanation:
Given data
P= ₹4000
r= 8%
t= 2 years
Required
The final amount A
we will apply the simple interest formula
A=P(1+rt)
substitute
A= 4000(1+0.08*2)
A= 4000(1+0.16)
A= 4000*1.016
A= ₹4064
Hence the amount is ₹4064
The figure below shows dimensions of a block of foam used to package a triangular shaped product. The foam is in the shape of a rectangular prism with a small triangular prism removed from the center. How many cubic centimeters of foam are used to package this product?
Answer:
5,580
Step-by-step explanation:
Rectangle: 36x30x60=6480
Triangle: 1/2x15x20x6=900
6480-900=5,580
The foam are used to package this product is cubic centimeters.
What is the volume of the rectangular prism?The Area of the rectangular prism is the product of the length, breadth, and height of the given prism.
Area of rectangular prism = 2(length x width + length x height + width x length)
Area of rectangular prism = 2( 36 x 30 + 30 x60 + 60 x 36)
= 10080 cubic centimeters
Let's find the base area:
The formula to find the base area is,
B = ½bh
Triangle area = 1/2 x 15 x 20 x 6
Triangle area = 900
10080 - 900 = 9180
Hence, the foam are used to package this product is cubic centimeters.
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Select the correct answer. Which statement best describes the zeros of the function h(x) = (x − 4)2(x2 − 7x + 10)? A. The function has four complex zeros. B. The function has three distinct real zeros. C. The function has two distinct real zeros and two complex zeros. D. The function has four distinct real zeros.
The function h(x) = (x-4)²(x²-7x+10) has three distinct real zeros ( +4, +5 and +2) ( option B)
What are zeros of a function?The zeros of a function are defined as the values of the variable of the function such that the function equals 0.
This means that (x-4)²(x²-7x+10) =0
For this expression to be correct
(x-4)² = 0 , OR
(x²-7x+10) = 0
(x-4)² = (x-4)(x-4) = 0
x-4 = 0
x = +4
x-4 = 0
x = +4.
therefore the zero of (x-4)² = +4
(x²-7x+10) = 0
x²-5x-2x+10 = 0
(x²-5x)(-2x+10 )= 0
x(x-5)-2(x-5) = 0
(x-2)(x-5) = 0
therefore (x-2) = 0 or (x-5) = 0
therefore x= 2 or 5
therefore the zeros of the function are +2 , +5 , and +4 and they are all real numbers. This means the function has three distinct zeros
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because of different units being used for various data series, which fit statistic can be used across different series that are in fact measured in different units?
The fit statistic that can be used across different series that are in fact measured in different units is; MAPE
What statistic can be used?There are different statistics models in this regards such as;
Mean Absolute Error (MAE)
Mean Absolute Scaled Error (MASE)
Accuracy Percent (Accuracy %)
Mean Squared Error (MSE)
Root Mean Squared Error (RMSE)
Mean Absolute Percent Error (MAPE)
Now, we are told that we need the fit statistic that can be used across different series that are in fact measured in different units.
The correct one will be Mean Absolute Percent Error (MAPE) because the average absolute percent difference between the values that are fitted by the model and the observed data values.
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Help me please this is due tomorrow and I do not understand the assignment
Answer:
4 and 5 not functions 6 function
Step-by-step explanation:
In a function, each x value can only have one y value. To test this, you can try the vertical line test. Put a vertical line on the function; if it touches only one point the graph is a function. For graph 4, the x value of 3 has y values of 1 and 4 so it is not a function. For graph 5, the x values of 1 and 5 have many y values so the graph isn't a function. For graph 6, each x value has only one y value so it is a function.
Answer:
4. Not a function
5. Not a function
6. Function
Step-by-step explanation:
1 -3 (correct!)
Functions do NOT have repeating x-values. Hence why you were able to determine if # 1-3 are fuctions or not.
4. Not a fuction:
(1, 2)
(2, 3)
(3, 1)
(3, 4)
As we can see, both points have the same x-values. Therefore, not a function.
5. Using our knowledge about functions, we can quickly tell that this graph is NOT a fuction.
There are many points that fall under the same x-value.
6. Function:
(1, 2)
(2, 2)
(3, 3)
(4, 4)
No repeating x-values. Therefore, a function.
Hope this helps!
The expression 9a + 7c gives the cost (in dollars) for a adults and c children to eat at a buffet restaurant.
a. The cost for 1 adult is?
The cost for 1 child is?
b. The total cost for 1 adult and 3 children is?
c. Is $30 enough for a family of 2 adults and 2 children to eat at the buffet?
Answer:
a. $16
b. $30
c. for 2 adults and 2 children it is $32, so they are $2 short.
Step-by-step explanation:
i hope this helps :)
given a multi-value attribute with a variable number of values, for which we need to process independently the values, it is recommended to consider a new dependent entiy to represent the values
Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently.
Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently, it is recommended to consider creating a new dependent entity to represent the values. This can help to simplify the design and make it easier to manage and maintain. The new entity can be linked to the original entity through a relationship, allowing each value to be processed independently while still maintaining the integrity of the data. Overall, this approach can improve the efficiency and effectiveness of the system, making it easier to work with and providing better results for the end user.
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2. Simplify the expression (5-3i) (-7 - 31) - (6-2i). Show your work
Answer:
Step-by-step explanation:
Let's simplify the expression step by step:
(5-3i)(-7-31) - (6-2i)
= (5)(-7) + (5)(-31i) - (3i)(-7) - (3i)(-31) - 6 + 2i
= -35 - 155i + 21i + 93 - 6 + 2i
= -35 + 87 - 63i + 2i - 155i
= 52 - 216i
Therefore, the simplified expression is 52 - 216i.
The first two steps in determining the solution set of the system of equations, y = x2 – 6x + 12 and y = 2x – 4, algebraically are shown in the table.
Which represents the solution(s) of this system of equations?
(4, 4)
(–4, –12)
(4, 4) and (–4, 12)
(–4, 4) and (4, 12)
Answer:
(4,4)
Step-by-step explanation:
The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.
x^2 - 6x + 12 = 2x - 4
x^2 - 8x + 16 = 0
(x - 4)^2 = 0
x = 4
Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.
y = 2x - 4 = 2(4) - 4 = 4
Therefore, the solution of this system of equations is (4, 4).
Therefore, the correct answer is (4, 4).
Determine if the given interval is INCREASING or DECREASING.A. x < 0______B. 0 4______(NOT MULTIPLE CHOICE)
Answer:
See answers below
Explanation
A) For the function;
x < 0
since the values of x are less than zero, and towards the left of the number line hence the interval is decreasing.
B) 0For the interval, the values fall between 0 and 2, this shows that the values are increasing since they are positive values towards the right hand of the number line.
C) 2This is also similar to the interval in B, hence this is also increasing
D) For x > 4
The values greater than 4 are 5, 6, 7, 8...you can see that the values are also increasing. Hence the given interval is also increasing
in project 8, the out-of-sample results are expected to track closely with, exceed, or come close to the results of the theoretically optimal solution (tos). true or false?
The answer of the given question based on the theoretically optimal solution is ,False.
What is Model?A model refers to a simplified representation of a real-world system or phenomenon that is used to gain insights, make predictions, or solve problems. Models in math can take many forms, including mathematical equations, geometric shapes, graphs, or diagrams.
Mathematical models are often used in various fields like physics, engineering, economics, and biology to represent and analyze complex phenomena. These models are constructed using mathematical principles and are based on assumptions and simplifications of the real-world system they represent.
False.
In project 8, the out-of-sample results are expected to provide an estimate of how well the model is expected to perform on new, unseen data. The out-of-sample results are not necessarily expected to the track closely with or exceed results of theoretically optimal solution (TOS), as TOS is based on training data and may not generalize well to new data. The goal is to find a model that performs well on both the training data and new, unseen data, so the out-of-sample results are used to evaluate the generalization performance of the model.
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9÷8×862627-727278+772×726?
Answer:
Step-by-step explanation: Use pemdas as your help.
It gives you steps you help to answer this question.
What is the correct order of steps to solve 8 2(-x-5)=26?
Answer:
82(-x-5)=26
-82x-410=26
-410-26=82x
-436/82=x
x=-218/41
A cylindrical jar of peanut butter has a height of 6 inches and a diameter of 3 inches. How many cubic inches of peanut butter can the jar hold? Use π = 3.14.
339.12 in3
169.56 in3
84.78 in3
42.39 in3
Answer:
42.39
Step-by-step explanation:
The formula for the volume of a cylinder:
V= πr^2h
Substitute values into the formula that was given:
π = 3.14
r = 3/2
h = 6
3.14(1.5^2)6=
3.14(13.5)=
42.39
I hoped this solved your problem <3
(I took the FLVS test too and got it right)
what is the scale factor of figure b to a
Answer:
C. 2:5
Step-by-step explanation:
Find perimeter of each...
a. 10+25+21.5=56.5
b. 4+10+8.6=22.6
b:a
22.6:56.6
simplify
11.3 will go into both for..
2:5
how do you solve this
Answer:
5^5+4/5^6
5^9/5^6
5^9-6
5^3
125
Step-by-step explanation:
Firstly the powers of 4 adds up
Then net power is formed by (9-6) ie 3
Lastly 5^3 is result which is 125
HELP! offering 75 points
Answer: C
Step-by-step explanation:
hope this helped
Consider the following LP problem:
Maximize profit = $5X + $6Y
Subject to:
2X +3Y ≤ 240
2X + Y ≤ 120
X, Y ≥ 0
Answer the following questions:
Using the simultaneous equations method to find the quantities of optimal point (x, y) from the above constraints. (No graph is needed)
What is the slack for constraint (1)? And explain the term slack
The optimal point (x, y) can be found by solving the simultaneous equations. The slack for constraint (1) is the difference between the right-hand side and the left-hand side of the inequality, representing the unused capacity in the constraint.
The optimal point (x, y) can be found using the simultaneous equations method. From the given constraints:
2X + 3Y ≤ 240 ...(1)
2X + Y ≤ 120 ...(2)
X, Y ≥ 0
To find the optimal point, we need to solve these two equations simultaneously. By solving equations (1) and (2), we can find the values of X and Y that satisfy both constraints. Once we have the values of X and Y, we can substitute them into the objective function (profit function) to determine the maximum profit.
To find the slack for constraint (1), we need to evaluate the difference between the left-hand side (LHS) and the right-hand side (RHS) of the inequality. In this case, the slack for constraint (1) is calculated as:
Slack for constraint (1) = RHS - LHS = 240 - (2X + 3Y)
The slack represents the amount of unused resources or capacity in the constraint. It tells us how much "slack" or leeway we have in the constraint before it becomes binding. If the slack is positive, it means that the constraint is not fully utilized and there is room for improvement. If the slack is zero, it indicates that the constraint is exactly satisfied. If the slack is negative, it implies that the constraint is violated and adjustments need to be made.
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for a perfectly symmetrical distribution with µ = 30, what is the mode?
In a perfectly symmetrical distribution with a mean (µ) of 30, there is no specific mode because all values occur with equal frequency.
In a perfectly symmetrical distribution, such as a symmetric bell-shaped curve or a uniform distribution, each value occurs with the same frequency. This means that there is no value that occurs more frequently than others, resulting in multiple modes or no mode at all.
The mode is typically used to identify the most common value in a dataset, but in a perfectly symmetrical distribution, all values have equal frequency, and there is no single mode. Instead, the distribution is characterized by its symmetry around the mean (µ). The mean represents the central tendency of the distribution, indicating the balance point of the data. In this case, with a mean of 30, the distribution is centered around this value, with equal numbers of observations on either side.
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at a certain high school, the prom committee is going to choose new members. there are students from the junior class and students from the senior class who are willing to be new members. in how many ways can new members be chosen if more than must be from the senior class?
Answer:
Step-by-step explanation:
7 students from the Junior class.
6 students from the Senior class.
4 new members are to be chosen.
Required: Find the number of ways 4 new members can be chosen if 2 or fewer must be from the senior class. So, Therefore, the correct answer is 560 ways.
How many more pairs of parallel sides does a regular octogon have then a regular hexagon
Answer:
1 more.
Step-by-step explanation:
A regular octagon has 4 pairs.
A regular hexagon has 3 pairs.
Hope this helped. :)
15. What is the value of the expression below?
Answer:
-4 3/8 thus A. is the answer
Step-by-step explanation:
Simplify the following:
-7/2 - (5/8 + 1/4)
Put 5/8 + 1/4 over the common denominator 8. 5/8 + 1/4 = 5/8 + 2/8:
-7/2 - (5/8 + 2/8)
5/8 + 2/8 = (5 + 2)/8:
-7/2 - ((5 + 2)/8)
5 + 2 = 7:
-7/2 - 7/8
Put -7/2 - 7/8 over the common denominator 8. -7/2 - 7/8 = (4 (-7))/8 - 7/8:
(4 (-7))/8 - 7/8
4 (-7) = -28:
(-28)/8 - 7/8
-28/8 - 7/8 = (-28 - 7)/8:
(-28 - 7)/8
-28 - 7 = -(28 + 7):
(-(28 + 7))/8
| 1 |
| 2 | 8
+ | | 7
| 3 | 5:
Answer: (-35)/8 now converto to a mixed number:
Convert to a mixed number:
-35/8
Divide 35 by 8:
8 | 3 | 5
8 goes into 35 four times. Multiply and subtract:
| | 4 |
8 | 3 | 5 |
- | 3 | 2 |
| | 3 |
The quotient is 4 (the number on top of the bracket) and the remainder is 3 (the number at the bottom of the grid):
| | 4 | (quotient)
8 | 3 | 5 |
- | 3 | 2 |
| | 3 | (remainder) invisible comma
35 = 4×8 + 3
The quotient of 35/8 is 4 with remainder 3, so:
4 3/8
Replace the negative sign:
Answer: -4 3/8
The table below shows selected values for the quadratic function f(x), which has a turning point at (1, -45) The function f(x) has one zero at x=4 as shown in the table. At what other x-value does it have a zero? Explain your thinking.
The quadratic function is given by f(x) = 5x² - 10x - 40 and the other zero is at x = -2
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The function f(x) has one zero at x = 4, and maximum point at (1, -45), Hence:
Using the maximum point:
f(x) = a(x - 1)² - 45
The zero is at (4, 0),
f(4) = 0 = a(4 - 1)² - 45
0 = a(4 - 1)² - 45
a = 45
f(x) = 5(x - 1)² - 45
f(x) = 5x² - 10x - 40
The second zero is at:
0 = 5x² - 10x - 40
x = 4; and x = -2
The quadratic function is given by f(x) = 5x² - 10x - 40 and the other zero is at x = -2
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solve 3(5y+2)–y=2(y–3)
Answer:
y= -1
Step-by-step Explanation:
3(5y +2)-y=2(y-3)
Distribute- 15y +6-y=2y -6
Combine variables- 15y-2y-y=-6-6
Add everything together- 12y= -12
Divide- y= -1
Answer:
y = -1
Step-by-step explanation:
Step 1. Expand the brackets.
3(5y + 2) - y = 2(y - 3)
(3 x 5y) + (3 x 2) - y = (2 x y) - (2 x 3)
15y + 6 - y = 2y - 6
Step 2. Simplify the expanded brackets (not always necessary but is in this case).
15y + 6 - y = 15y - y + 6 = 14y + 6
So
14y + 6 = 2y - 6
Step 3. Solve the equation.
14y + 6 = 2y - 6
+ 6 to both sides
14y + 12 = 2y
- 14y from both sides
12 = -12y
÷ 12 on both sides
1 = -y
flip the negative
-1 = y
Step 3. Write your answer.
y = -1
a. How many groups are there?
Answer:
four groups
Step-by-step explanation:
.......
..
.
Pablo follows the Delta Property for deals with prospects between $1000 and $1000 and he prefers more money to less. His certain equivalent is $300 for a deal with a 0.8 chance at $500 and a 0.2 chance at $100. If x is measured in dollars, which following u-curves are consistent with Pablo's preferences? a) u(x) = 10 - 10 x4 -X/200 b) u(x) = 1 – 0.25 --x/200 C) u(x) = 5 – 2x4+x/300 d) u(x) = 0.25 **/200
The utility function u(x) = 0.25**(x/200) is consistent with Pablo's preferences.
To determine which utility function, represented by u(x), is consistent with Pablo's preferences, we need to compare the utility values for different prospects.
Pablo's certain equivalent for a deal with a 0.8 chance at $500 and a 0.2 chance at $100 is $300. We can calculate the expected value of this prospect:
Expected value = (0.8 * $500) + (0.2 * $100) = $400 + $20 = $420
Now let's evaluate the utility values for the given utility functions and compare them to $300 and $420.
a) u(x) = 10 - 10x^4 - x/200
If we substitute x = $420 into this utility function, we get:
u($420) = 10 - 10($420)^4 - $420/200 ≈ -1.06 x 10^18
b) u(x) = 1 - 0.25 - x/200
If we substitute x = $420 into this utility function, we get:
u($420) = 1 - 0.25 - $420/200 = 1 - 0.25 - 2.1 ≈ -1.35
c) u(x) = 5 - 2x^4 + x/300
If we substitute x = $420 into this utility function, e get:
u($420) = 5 - 2($420)^4 + $420/300 ≈ -1.59 x 10^16
d) u(x) = 0.25**(x/200)
If we substitute x = $420 into this utility function, we get:
u($420) = 0.25**(420/200) ≈ 0.063
Comparing the utility values to Pablo's certain equivalent ($300) and the expected value ($420), we find that option d) u(x) = 0.25**(x/200) is consistent with Pablo's preferences, as it yields a utility value (0.063) closer to the expected value than the others.
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multiples of 5 less than 40
Answer: 5, 10, 15, 20, 25, 30, & 35
Answer:
35,30,25,20,15,
Step-by-step explanation:
BRAAINLIEST PLS
An object is dropped from a height of 150 feet. Its heights s at time, t is given by the
equation s(t) =-16t^2+150 ,where s is measured in feet and t is measured in seconds.
Find the average rate of change of the height over the interval [1, 2.5).
O 1) -56 ft/sec
O2) 77 ft/sec
03) 56 ft/sec
O4) -35 ft/sec
Answer:
The average rate of change of the height over the interval [1, 2.5] is - 56 feet per second.
Step-by-step explanation:
Let \(s(t) = -16\cdot t^{2} + 150\). Geometrically speaking, average rate of change over a given interval (\(\bar v\)), measured in feet per second, is determined by definition of secant line, which is defined:
\(\bar v = \frac{s(t_{2})-s(t_{1}) }{t_{2}-t_{1}}\) (1)
Where:
\(s(t_{1})\), \(s(t_{2})\) - Initial and final position of the object, measured in feet.
\(t_{1}\), \(t_{2}\) - Initial and final times, measured in seconds.
If we know that \(t_{1} = 1\,s\) and \(t_{2} = 2.5\,s\), then the average rate of change over the interval \([1,2.5]\):
\(s(1) = -16\cdot (1)^{2}+150\)
\(s(1) = 134\)
\(s(2.5) = -16\cdot (2.5)^{2}+150\)
\(s(2.5) = 50\)
\(\bar v = \frac{50\,ft-134\,ft}{2.5\,s-1\,s}\)
\(\bar v = -56\,\frac{ft}{s}\)
The average rate of change of the height over the interval [1, 2.5] is - 56 feet per second.
A fifth-degree polynomial equation with rational coefficients has the roots 3, 8i, and 7- radical 5. Which are also roots of the polynomial equation?
Using complex numbers and radicals, it is found that the correct option is C.
When a complex number is a root of a polynomial function, it's conjugate also has to be.
Hence, since 8i is a root of the function, -8i is also a root.The same is valid for radicals, as they are in the \(\pm\) format.
Since \(7 - \sqrt{5}\) is a root, \(7 + \sqrt{5}\) is also a root.Hence, option C is correct.
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During a sale, a store offered a 15% discount on a camera that originally sold for $760. After the sale, the discounted price of the camera was marked up by 15%. What was the price of the camera after the markup? (Round it up to the nearest cent)
Therefore , the solution of the given problem of percentage comes out to be the camera's final cost after the markup was $742.90.
What does a percentage actually mean?In statistics, "a%" refers to a statistic or metric that is expressed as a percentage of 100. The words "pct," "pct," & "pc" are also not widely used. Nonetheless, the symbol "%" is frequently used to represent it. No dimensions exist; the percentage of the entire amount is flat. Percentages are truly integers because their numerator almost always equals 100. To show that a number corresponds to a percent, it must be prefixed with either the percent symbol (%) or the phrase "fraction".
Here,
The camera was lowered by 15% during the sale, making the final cost:
=> $760 - 0.15($760) = $646.00
The price was increased by 15% after the sale, resulting in the following final price:
=> $646.00 + 0.15($646.00) = $742.90
If we round this to the nearest cent, the total comes to $742.90.
As a result, the camera's final cost after the markup was $742.90.
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The formula for calculating the amount of money (M) in an account
after t years is M = P(1 + r)t, where P is the initial value and r is the
annual interest rate as a decimal. Susan wants a balance of $500 after
10 years. How much should she initially deposit into her account that
earns 3%?
$6,719.58
$671.86
$36.27
O $372.05