Answer:
you don't normally this is a home work
A CD account contains $5,400 today. The account earns an annual interest of 7% for each of the next four years. The bank uses the equation A=5,400(r)^y to determine the amount of money in the account,A, after y years if no other deposits or withdrawals are made.
What numerical value should the banks use for r?
To the nearest dollar,how much money will bein the CD account at the end of the four years? (Note: Disregard the $ sign when gridding your answer)
Using an exponential function, it is found that:
The banks should use a value of r of r = 1.07.The balance of the account at the end of four years is of: $5,899.What is an exponential function?An increasing exponential function is modeled according to the rule presented next:
\(A(t) = A(0)(1 + k)^t\)
In which the parameters of the exponential function are as follows:
A(t) is the amount after t years.A(0) is the initial amount of the function.k is the growth rate of the function, as a decimal.In this problem, the values of the parameters are given as follows:
A(0) = 5400, which is the value of the investment.k = 0.07, which is the growth rate of the balance.Then the function is:
\(A(t) = 5400(1.07)^t\)
The numeric value of the parameter r is given as follows:
r = 1.07.
(comparing to the format 5,400(r)^y).
The balance of the account after four years is given as follows:
\(A(4) = 4500(1.07)^4 = 5899\)
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for f(x) = 1/3x +5
f(3) =
Answer:
f(3) = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 1/3x + 5
f(3) is x = 3
Step 2: Evaluate
Substitute: f(3) = 1/3(3) + 5Multiply: f(3) = 1 + 5Add: f(3) = 6Consider the function given below: (defun things (x) (if (null x ) '() (if (>(carx) 10) (cons(+(carx) 1) (things (cdrx))) (cons (- (car x) 1) (things (codr x)) ) 1 ) 1 Show the evolution resulting from the following call: USP> (things '(11-2 31))
The evolution of the function call (things '(11 -2 31)) is as follows:
(things '(11 -2 31)) -> (things '(-2 31)) -> (things '(31)) -> (things '()) -> '() the final result of the given call is '().
The given function is a recursive function called "things" that takes a list as input. It checks if the list is empty (null), and if so, it returns an empty list. Otherwise, it checks if the first element of the list (car x) is greater than 10. If it is, it adds 1 to the first element and recursively calls the "things" function on the rest of the list (cdr x). If the first element is not greater than 10, it subtracts 1 from the first element and recursively calls the "things" function on the rest of the list. The function then returns the result.
Now, let's see the evolution resulting from the call (things '(11 -2 31)):
1. (things '(11 -2 31))
Since the list is not empty, we move to the next if statement.
The first element (car x) is 11, which is greater than 10, so we add 1 to it and recursively call the "things" function on the rest of the list.
The recursive call is (things '(-2 31)).
2. (things '(-2 31))
Again, the list is not empty.
The first element (car x) is -2, which is not greater than 10, so we subtract 1 from it and recursively call the "things" function on the rest of the list.
The recursive call is (things '(31)).
3. (things '(31))
The list is still not empty.
The first element (car x) is 31, which is greater than 10, so we add 1 to it and recursively call the "things" function on the rest of the list.
The recursive call is (things '()).
4. (things '())
The list is now empty, so the function returns an empty list.
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most mis's use sophisticated mathematical models or statistical techniques. group of answer choices true false
The statement "Most MIS's use sophisticated mathematical models or statistical techniques" is generally true.
Management Information Systems (MIS) play a crucial role in modern organizations by providing valuable insights into various aspects of the business.
These systems gather data from different sources and transform it into meaningful information for decision-making purposes.
To make sense of the collected data, MIS rely on sophisticated mathematical models and statistical techniques.
Mathematical models are used to represent real-world situations and relationships mathematically.
These models can range from simple equations to complex algorithms that simulate and predict business processes.
By using mathematical models, MIS can analyze data, identify patterns, and make predictions or projections.
Statistical techniques, on the other hand, provide methods for summarizing and analyzing data to extract meaningful information.
MIS employ statistical techniques such as regression analysis, hypothesis testing, data visualization, and forecasting to uncover insights and support decision-making.
By leveraging these sophisticated mathematical models and statistical techniques, MIS can handle large volumes of data, identify trends and patterns, perform predictive analysis, and provide valuable insights for effective decision-making in areas such as resource allocation, strategic planning, inventory management, and customer behavior analysis.
Therefore, it is safe to say that most MIS's utilize sophisticated mathematical models and statistical techniques to process and analyze data, enabling organizations to make informed decisions based on accurate and meaningful information.
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Solve the equation. How old is Sam?
Sam's age doubled plus 5 is the same as Sam's age tripled minus 1.
Answer:
Step-by-step explanation:
let the sam's age be x
2x+5=3x-1
5+1=3x-2x
6=x
therefore sam's age is 6.
Answer:
6
Step-by-step explanation:
let age be = to x
2x + 5 = 3x - 1
-x = -6
x = 6
As diversification increases, the total variance of a portfolio approaches _____.A. 0B. 1C. idiosyncratic riskD. systematic risk
The correct answer is A. 0. As diversification increases, the total variance of a portfolio approaches zero.
As diversification increases, the total variance of a portfolio approaches 0, which means that the portfolio becomes less risky. This occurs because diversification spreads the risk across multiple assets, reducing the impact of any single asset on the portfolio's overall performance. The reduction in risk is due to the fact that some assets in the portfolio may perform well while others may not, but the negative performance of some assets is compensated by the positive performance of others, leading to a lower overall portfolio variance. Therefore, option A is the correct answer.
Diversification is an investment strategy that involves spreading an investor's portfolio across different assets, such as stocks, bonds, real estate, and commodities, with the aim of reducing overall risk.
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What are the values of x and y?
Question 18 options:
A)
x = 8; y = 4
B)
x = 8\(\sqrt{3}\) ; y = 4\(\sqrt{3}\)
C)
x = 6\(\sqrt{x3}\) ; y = 3\(\sqrt{3}\)
D)
x = 4\(\sqrt{3}\) ; y = 8\(\sqrt{3}\)
Answer:
B) x = 8\(\sqrt{3}\) ; y = 4\(\sqrt{3}\)
Step-by-step explanation:
in a 30-60-90° triangle the sides, respectively, are in the ratio of
1 : \(\sqrt{3}\) : 2
we can find 'x' by creating this proportion:
12/\(\sqrt{3}\) = x/2
cross-multiply to get:
\(\sqrt{3}\)x = 24
x = 24/\(\sqrt{3}\)
we can simplify this by 'rationalizing the denominator' which is to
multiply numerator and denominator by \(\sqrt{3}\) to get:
(24\(\sqrt{3}\))÷3, which is 8\(\sqrt{3}\)
we know that side 'y' is half that of side 'x'
therefore y = 4\(\sqrt{3}\)
After running 5 miles, Kevin’s total time was 42 minutes. Find his time per mile.
Answer:
8.4 minutes per mile
Step-by-step explanation:
You simply just divide time by miles
42/5 = 8.4
Jordann is painting her kitchen. To get the color she wants, she mixes 6 parts red paint and 2 parts yellow paint.
1) Write the ratio of parts red paint to parts yellow paint as a fraction.
2) Then, write the unit rate of red paint to yellow paint. (How many parts of red paint does she need for every 1 yellow part?)
What color do you imagine her kitchen will be?!
Answer:
1. 6:2
2.for every 1 yellow paint, she needs 3 red paints
3.an orange
Step-by-step explanation:
1. It would be 6:2 because for every 2 parts yellow she needs 6 parts red
2. Since the ratio is first 6:2, just divide it by 2 since there is 2 yellow and it's asking how much red you need for 1 yellow
Randy has begun selling portraits of his pet rocks. He estimates the cost of producing x portraits is given by the function C(x)=1000+25x−0.1x 2
. a. Find the fixed costs. What factors could be contributing to this? b. Find the average cost for producing 20 portraits. c. Find and interpret the marginal average cost for x=20.
The fixed cost can be attributed to expenses such as rent, salaries of staff, depreciation of machinery, and other overhead costs that do not depend on the level of production.
a) Fixed costs refer to those costs that do not change with a change in production.
It is the amount that Randy would have to pay even if he did not sell a single portrait.
Therefore, the fixed cost in this case is the constant value, i.e., $1000.
The fixed cost can be attributed to expenses such as rent, salaries of staff, depreciation of machinery, and other overhead costs that do not depend on the level of production.
b) Average cost (AC) is the cost per unit of production. It is found by dividing the total cost by the number of units produced. When 20 portraits are produced, the cost of production is:
C (20) = 1000 + 25 (20) - 0.1 (20)2
= 1000 + 500 - 40
= $1460
Average Cost = Total cost/ Number of portraits
= 1460/20 = $73
c) The marginal average cost refers to the additional cost incurred for producing one additional unit of the product. It is given by the first derivative of the average cost function, i.e., dAC(x) / dx.
Marginal Average Cost when x=20 is given by the first derivative of the average cost function:
AC(x) = (1000+25x-0.1x²) / x
= 1000/x + 25 - 0.1x
Marginal Average Cost = dAC(x) / dx
= -1000/x² - 0.1
= -1000/20² - 0.1
= -0.6
Interpretation:
When Randy produces the 20th portrait, the marginal average cost is $-0.6, which implies that the average cost of production will decrease if he produces one additional portrait. This is because the cost of producing that additional unit is less than the current average cost.
Therefore, Randy can maximize his profit by producing more portraits as long as the marginal cost is less than the selling price.
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Which statements are true about the graph of the function f(x) = 6x – 4 + x2? Select two options.
Answer:
There is no graph.
Step-by-step explanation:
Sorry, can't help if you don't have any work shown.
Answer:
B and D
Step-by-step explanation:
A) The vertex form of the function is f(x) = (x +3)^2 -13, not the one shown.
B) The vertex is (-3, -13). True
C) The axis of symmetry is x = -3, not the one given.
D) The graph increases for x > -3. True
E) The function crosses the x-axis at about x=-6.6 and x=0.6.
What is the importance and advantage of using graph representation when organizing your data?
The importance and advantage of using graph representation when organizing your data are that it makes data presentable, summarizing, better way of comparison of data.
An organized diagram or pictorial representation of the relationship between values or data is referred to as a graph. it is a a diagram that depicts a variable's variation in comparison to that of one or more other variables, such as a series of points, lines, line segments, curves, or areas.
The following are the three advantages of graphs:
It makes data look good and makes it easy to understand.It helps to concisely summarize the data.Better data comparison is made possible by it.Know more about graphs here: https://brainly.com/question/17267403
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An artist is going to cut four similar right triangles from a rectangular piece of paper like the one shown to the right. What is BE to the nearest tenth when AC=13
The measurement of altitude BE is 4 unit.
What is an altitude?As the average level of the sea's surface, sea level is used to measure altitude. A high altitude is defined as being significantly higher than sea level, such as Mount Everest. It is referred to as having a low altitude when something is closer to the ground, like a plane coming in to land.
As ABCD is rectangle
AD = BC = 12
ΔABC = ΔBCD
BE = FD
5² = 3²+BE²
AE = 3
BE = √(5²-3²)
BE = 4
Thus, The measurement of altitude BE is 4 unit.
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The mass of a package sent through the mail is 3 kilograms what is the mass of the package in grams? Plz halp GAHAAHAHHAH
Answer:
3000 grams
Step-by-step explanation:
convert 3 Kg to G
For a science experiment, Wandalyn needs a
saltwater solution that has a ratio of 31.2 grams of salt
for every liter of water. If Wandalyn uses 37.1 grams
of salt, how much water will she need for her solution?
A 0.001 L
B 0.841 L
C 1.189 L
D 1,157.52 L
in a classroom at time t = 0, a sphere is thrown upward at a 45 angle to the horizontal at time while the sphere is still rising it bounces off the ceiling elastically
A sphere thrown upward at a 45-degree angle to the horizontal in a classroom elastically bounces off the ceiling while still rising
At time t = 0, a sphere is launched with an initial velocity at a 45-degree angle to the horizontal in a classroom. The sphere follows a parabolic trajectory as it rises due to the upward component of its initial velocity and experiences the downward pull of gravity. While the sphere is still ascending, it reaches the ceiling and collides with it.
During the elastic collision, the sphere's motion is reversed. It rebounds off the ceiling, changing its direction but maintaining its kinetic energy. As a result, the sphere starts descending with the same speed it had before the collision but in the opposite direction. The angle of descent will also be 45 degrees to the horizontal, mirroring the angle of the initial launch.
Throughout the entire process, neglecting air resistance, the total mechanical energy of the sphere is conserved since the collision with the ceiling is elastic.
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Find the lateral area of the cone
Answer:
Lateral surface area of the cone is 1005 cm²Step-by-step explanation:
Given :-
Radius of cone = 16 cmHeight of cone = 12 cmTo Find :-
Lateral surface areaSolution :-
As we know that,
LSA of the cone = πrlFinding Slant height:
➝ L = √r² + h²
➝ L = √(16)² + (12)²
➝ L = √256 + 144
➝ L = √400
➝ L = 20 cm
Slant height of cone is 20cmNow,
LSA of the cone = πrlSubstituting the required values,
➝ LSA = 22/7 × 16 × 20
➝ LSA= 7040/7
➝ LSA ≈ 1005 cm²
Hence,
Lateral surface area the of cone is 1005 cm²20/24 equals 45/50 true or false
bring the fractions to a common denominator
\(undefined\)can SOMEBODY PLZZZZ GIVE ME THE ANSWERSSSSSSSSSSSSSSSS
Answer:
Yes
Step-by-step explanation:
Someone will
Please help me I don't understand how to get the second one right
Answer:
162.56
Step-by-step explanation:
what ur doing seems to be right
I'm not sure what else can be the answer
Lots of points + brainlyist. Pls.
The interpretation of the given compound interest expression is:
2400 is the amount of initial deposit
1.03 is the amount
12t is the number of times the account has compounded since it opened
How to Interpret Compound Interest Problems?The formula for compound interest is:
A = P(1 + (r/t))^(nt)
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
We are given the equation as:
S = 2400(1.03)^(12t)
Thus:
2400 is the amount of initial deposit
1.03 is the amount
12t is the number of times the account has compounded since it opened
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L is the circle with the equation x²+y²=9
full question in photo :)
The values of the variables, a, b, and c obtained from the equation of the circle and the coordinates of the point P are;
a) a = 2
b = -2
c = 4
What is the general equation of a circle?The general equation of a circle is; (x - h)² + (y - k)² = r²
Where;
(h, k) = The coordinates of the center of the circle
r = The coordinates of the radius of the circle
The specified equation of a circle is; x² + y² = 9
The coordinates of the center of the circle, is therefore, O = (0, 0)
a) The coordinates of the points P and O indicates that the gradient of OP, obtained using the slope formula is; ((3·√3)/4 - 0)/(3/2 - 0) = ((3·√3)/4)/(3/2)
((3·√3)/4)/(3/2) = (√3)/2
The specified form of the gradient is; (√3)/a, therefore;
(√3)/a = (√3)/2
a = 2
The value of a is 2
b) The gradient of the tangent to a line that has a gradient of m is -1/m
The gradient of OP is; (√3)/2, therefore, the gradient of the tangent at P is -2/(√3)
The form of the gradient of the tangent at P is b/(√3), therefore;
-2/(√3) = b/(√3)
b = -2
The value of b is; -2
c) The coordinate of the point on the tangent, (0, (7·√3)/c) indicates
Slope of the tangent = -2/(√3)
((7·√3)/c - ((3·√3)/4))/(0 - (3/2)) = -2/(√3)
((7·√3)/c - ((3·√3)/4)) = (3/2) × 2/(√3) = √3
(7·√3)/c = √3 + ((3·√3)/4) = 7·√3/4
Therefore; c = 4
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Factor completely 4x2 − 8x 4. Prime 4x(x2 − 2x 1) 4(x2 − 2x 1) 4(x2 4).
Answer:
4 ( x-1)^2
Step-by-step explanation:
4x^2 − 8x + 4.
Factor out the greatest common factor
4( x^2 -2x+1)
Factor inside the terms
4( x-1) (x-1)
4 ( x-1)^2
Step-by-step explanation:
If one pear costs 3$ how much of a pear can you get for 1$?
Answer:
1/3 of a pear
Step-by-step explanation:
Find value of x with the steps please
Answer:
x=7°
Step-by-step explanation:
The figure is a triangle.
1. Triangles's angles add up to 180°.
2. We know that 1 angle measures 104°, so the remaining 2 angles add up to 76°. It is an isosceles triangle, so both of the remaining 2 angles have equal measures.
3. 76÷2=38°.
4. 9x-25°=38°
5. 63°-25°=38°
6. 9x=63°
7. x=7°
Step by step explanation above. Hope it is correct!
Dividing by zero is an example of which type of error?
Dividing by zero is an example of an arithmetic error.
It is undefined to divide any number by zero, which is why it is considered an error.
About arithmetic errorIn general, any operation that results in an invalid mathematical expression is considered an arithmetic error.
Other examples of arithmetic errors include taking the square root of a negative number or raising a negative number to a fractional exponent.
These errors are generally caused by attempting to perform mathematical operations that are not defined or that violate the rules of algebraic manipulation.
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Answer:
run-time error or arethmeatic error
Step-by-step explanation:
A divide by zero operation is not a defined operation and thus the program at runtime does not have equivalent valid code that can be executed and hence it throws a run-time error.
Which of x- values are solutions to the following inequality?
Answer:
A and B
Step-by-step explanation:
54 , 89
How is field data aggregated? Number of failed parts Number of failures Hours of operation Maintenance time Mark for follow up Question 3 of \( 7 . \) Data collection extends over a large number of it
Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,
such as a day or a week. Number of Failed Parts: The number of parts that have failed over a given period of time, such as a day or a week. Hours of Operation: The amount of time that a machine or system was operational during a given period of time, such as a day or a week. Maintenance Time: The amount of time that was spent maintaining a machine or system during a given period of time, such as a day or a week.
Mark for Follow-Up: An indication of which issues need to be addressed or followed up on to prevent future failures or improve performance. Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,
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The square below represents one whole. What percent is represented by the shaded area?
Answer:
29%
Step-by-step explanation:
There are 100 boxes. 29 of them are shaded in, so we can divide that by 100.
29/100=0.29
0.29 is equal to 29%
help me with this please
The values of a, b, c are 152°, 28°, 152° respectively.
What are angle at a point?Angles around a point describes the sum of angles that can be arranged together so that they form a full turn.
The sum of angles at a point will give 360°.
This means that a + b + c + 28 = 360
c +28 = 180° ( angle on a straight line)
c = 180 -28
c = 152°
c = a( alternate angles are equal)
therefore the value of a = 152°
b = 28( alternate angles are equal)
therefore the value of b is 28
therefore the values of a, b, c are 152°, 28°, 152° respectively
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