The better choice for Iron Man's $1000 investment over 3 years is the Wolf Bank.
Which bank is the better choice for Iron Man's investment?
At the Wolf Bank:
Interest per year = $268.40
Total interest over 3 years = $268.40 * 3
Total interest over 3 years = $805.20
The total amount after 3 years is:
= $1000 + $805.20
= $1805.20
At the Golden Lion Bank:
Interest rate = 20%
The total amount after 3 years:
= $1000 * (1 + 0.20)^3
= $1000 * 1.728
= $1728.
Full question:
Iron Man wants to invest $1000 into a bank account to make some money. The Wolf Bank offers to add an interest of $268. 40 each year your money is invested in their bank. At the Golden Lion Bank, you receive 20% interest on all of the money in your account compounded annually. For 3 years, which one is better choice?
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Can someone help me?
Answer:
sorry bruv wish you the best i will pray for you
Step-by-step explanation:
If the volume of figure A is 135 and the volume of figure B is 625, find the ratio of their surface areas.
Answer:
9:25
Step-by-step explanation:
Consider a parallelogram with vertices at (0, 3), (2, 0), (4, 2), and (2, 5).
2) Suppose the parallelogram is reflected over the x-axis, which vertex of the parallelogram will have the same coordinate before and after the reflection?
A) (0, 3)
B) (2, 0)
C) (2, 5)
D) (4, 2)
Answer:
B
Step-by-step explanation:
So a reflection over the x is a change in the y value.
Only point (2,0) is on the x-axis, so it will not move.
50 POINTS HELP WILL MARK BRAINLIEST
find the value of x.
(picture attached)
5x^2-9 when x = -2
5(-2)^2-9
I know the answer is 11, but how? When I did it, I got -29 and I don’t know how to get 11. Could someone explain step by step on how to get the correct answer?
5(-2)² - 9
First, solve the one in the bracket which is -2 × -2 which gives us =4
5(4) - 9
Then, multiply 5 with 4 so
20 - 9
Then you'll get 11
What is the point of concurrency of the right bisectors of the sides of triangle?
The point of concurrency of the right bisectors of the sides of a triangle is called the circumcenter.
- The right bisector of a side of a triangle is a line that divides the side into two equal segments and is perpendicular to that side.
- The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect.
- The circumcenter is equidistant from the vertices of the triangle.
- It lies inside the triangle if the triangle is acute, on the triangle if the triangle is right-angled, and outside the triangle if the triangle is obtuse.
- The circumcenter is the center of the circle that passes through all three vertices of the triangle, known as the circumcircle.
- The circumcenter has a special property: it is equidistant from the three vertices of the triangle, which means the distances from the circumcenter to each vertex are the same.
In conclusion, the point of concurrency of the right bisectors of the sides of a triangle is the circumcenter, which is the center of the circumcircle and equidistant from the triangle's vertices.
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Sewing patterns recommend buying extra fabric in case of mistakes.
Jessica bought 8 yards of fabric, plus 15% extra fabric. Derek bought 4
yards of fabric, plus 20% extra. Who bought more fabric? How much
more?
Jessica bought 4.4 yards of fabric more.
What is the percentage?
It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol %.
Jessica :
8 yards of fabric
15% of 8 = (15/100)*8 = 1.2
Total fabric = 8 + 1.2 = 9.2 yards
Derek :
4 yards of fabric
20% of 4 = (20/100)*4 = 0.8
Total fabric = 4 + 0.8 = 4.8 yards
Jessica bought more fabric .
9.2 - 4.8 = 4.4 yards of fabric more
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The ages of the racers in a bicycle motocross race are 14, 22, 20, 25, 26, 17, 21, 30, 27, 25, 14, and 29. The 30-year-old drops out of the race and is replaced with a 15-year-old. How are the mean, median, and mode of the ages affected?
Answer:
The mean is decreased by 1.25.
The mode remains the same.
The median is decreased by 2 .
Step-by-step explanation:
Re arranging the data 14, 22, 20, 25, 26, 17, 21, 30, 27, 25, 14, and 29.
Gives
14, 14,17,20, 21, 22, 25,25, 26, 27, 29,30,
Now the mean = 14, +14,+17, +20, +21,+ 22, +25,+25,+ 26, + 27, +29,+30/12
Mean= 270/12=22.5
The Mode ( the repeated value) = 14,25
Median ( the average of middle value) = 22+25/2= 23.5
When 30 is replaced is by 15
Now the mean = 14, +14, +15,+17, +20, +21,+ 22, +25,+25,+ 26, + 27, +29/12
The Mean becomes = 255/12=21.25
The Mode ( the repeated value) = 14,25
Median ( the average of the middle value) = 21+22/2= 21.5
The difference between the 2 means is = 22.5- 21.25= 1.25
The mode remains the same.
The median is decreased by 2 .
The mean is decreased by 1.25 which is more than 50 % of the value obtained between the ratio of the omitted and added value (30/15=) i.e. 2
The time base for a plc timer instruction is 10 s. what is preset value for a time dealy of 5 minutes?
The preset value for a time delay of 5 minutes in a PLC (Programmable Logic Controller) timer instruction with a time base of 10 seconds would be 300.
In PLC programming, timers are used to introduce time delays or control the timing of certain operations. The time base refers to the resolution or interval at which the timer counts. In this case, the time base is 10 seconds.
To determine the preset value for a time delay of 5 minutes, we need to convert the time from minutes to the corresponding number of time base intervals. Since the time base is 10 seconds, we multiply the desired time in minutes (5) by 60 to convert it to seconds (5 minutes = 300 seconds).
The preset value represents the number of time base intervals the timer will count before activating the output. In this case, with a time base of 10 seconds and a desired time delay of 5 minutes (300 seconds), the preset value would be 300.
Therefore, to achieve a time delay of 5 minutes using a PLC timer instruction with a time base of 10 seconds, the preset value would be set to 300.
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For which angle θ is cos θ = −1?
a. 270° b. 360° c. 450° d. 540°
Answer: Dude adove is WRONGGG
Step-by-step explanation:
ANSWER IS 540
Answer:
c. 540°
Step-by-step explanation:
You want to know which angle θ has cos(θ) = -1.
CosineThe cosine function is periodic with period 360°. The smallest positive angle θ for which cos(θ) is -1 is 180°. The next such angle is ...
180° +360° = 540° . . . . . choice D
__
Additional comment
A graph of the cosine function is attached. The horizontal axis is in degrees.
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Find de and for the parametric equation dy d²y dx² dx x=t-et, y=t+e=t
The values of t for which the curve is concave upward are: t > 3.
Given the parametric equations are:
x = eᵗ
y = t e⁻ᵗ
Differentiating with respect to 't' we get,
dx/dt = eᵗ
dy/dt = e⁻ᵗ [1 - t]
So,
dy/dx = (dy/dt)/(dx/dt) = (e⁻ᵗ [1 - t])/eᵗ = e⁻²ᵗ [1 - t]
differentiating the above term with respect to 'x' we get,
d²y/dx² = d/dx [e⁻²ᵗ [1 - t]] = e⁻²ᵗ [(-1) - 2(1 - t)] = e⁻²ᵗ [t - 3]
Since the curve is concave upward so,
d²y/dx² > 0
e⁻²ᵗ [t - 3] > 0
either, t - 3 > 0
t > 3
Hence the values of t for which the curve is concave upward are: t > 3.
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Correct question:
Find dy/dx and d²y/dx².
x = \(e^{t}\), y = t\(e^{-t}\)
d/dx (y) = |(- \(e^{-t}\) * (t - 1))/(\(e^{t}\))|
(d² * y)/(d * x²) = |(\(e^{-2t}\) * (2t - 3))/(\(e^{t}\))|
For which values of t is the curve concave upward? (Enter your answer using interval notation.)
A rectangular swimming pool is 15 meters long, 14 1/2 meters wide, and 5 1/2 meters deep. What is its volume?
Answer:
length x width x height (or depth) = volume
Step-by-step explanation:
761.25 or 761 1/4 is the answer
please help me do question 10 :)
Answer:
A: sin(55.13+22.62) = .969
B: Cos(55.13-22.62) = .861
C: sin(2*55.13) = .96
D: cos(2*55.13) = -.28
E: tan(55.13+22.62) = 3.9375
F: cot=1/tan= 1/tan(55.13-22.62)= 1.6969
Step-by-step explanation:
I would like to preface this by saying that my trig is probably rusty so maybe double check my work. I will try to overexplain it so you can easily spot any errors I may make
To solve for x we know that sin(x)=4/5
we can solve for x by using the arc sin
This means that x=arcsin(4/5) which gives me around x=53.13
We can then use the same process for y but with 5/13
so arcsin(5/13) gives us around y=22.62
Then it's just a matter of plugging everything in
A: sin(55.13+22.62) = .969
B: Cos(55.13-22.62) = .861
C: sin(2*55.13) = .96
D: cos(2*55.13) = -.28
E: tan(55.13+22.62) = 3.9375
F: cot=1/tan= 1/tan(55.13-22.62)= 1.6969
Find the greatest common factor.
2y^3, 8y
Answer:
STEP1:Equation at the end of step 1
2y3 - 8y
STEP2:
STEP3:Pulling out like terms
3.1 Pull out like factors :
2y3 - 8y = 2y • (y2 - 4)
Trying to factor as a Difference of Squares:
3.2 Factoring: y2 - 4
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 4 is the square of 2
Check : y2 is the square of y1
Factorization is : (y + 2) • (y - 2)
Final result :
2y • (y + 2) • (y - 2)
pls help. If y varies directly with x and y=20 when x=4, find y when x=3
Answer:
15
Step-by-step explanation:
y/x=constant
20/4=y/3
y=5*3
y=15
Please help mee in question 11
There are 18 different chairs in total.
Describe Multiplication?Multiplication is an arithmetic operation that involves combining two or more numbers to get a product. The numbers being multiplied are called factors, and the result of multiplication is called the product.
Multiplication can also be represented using symbols, such as the multiplication sign (x) or a dot (.). For example, 2 x 3 can also be written as 2 . 3.
Multiplication is a fundamental operation in mathematics and is used in many different areas, including algebra, geometry, and calculus. It has numerous applications in science, engineering, economics, and many other fields.
There are a total of 24 different chairs that are available.
3 finishes: dark, light, or oak
3 seat cover colors: tan, black, or cream
2 heights: regular or tall
Therefore, the total number of different chairs is calculated as:
3 (finishes) x 3 (seat cover colors) x 2 (heights) = 18
So, there are 18 different chairs in total.
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There are 18 different chairs in tοtal.
Describe Multiplicatiοn?Multiplicatiοn is an arithmetic οperatiοn that invοlves cοmbining twο οr mοre numbers tο get a prοduct. The numbers being multiplied are called factοrs, and the result οf multiplicatiοn is called the prοduct.
Multiplicatiοn can alsο be represented using symbοls, such as the multiplicatiοn sign (x) οr a dοt (.). Fοr example, 2 x 3 can alsο be written as 2 . 3.
Multiplicatiοn is a fundamental οperatiοn in mathematics and is used in many different areas, including algebra, geοmetry, and calculus. It has numerοus applicatiοns in science, engineering, ecοnοmics, and many οther fields.
There are a tοtal οf 24 different chairs that are available:
3 finishes: dark, light, οr οak
3 seat cοver cοlοrs: tan, black, οr cream
2 heights: regular οr tall
Therefοre, the tοtal number οf different chairs is calculated as:
3 × 3 × 2 = 18
So, there are 18 different chairs in total.
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You rent an apartment that costs \$1300$1300 per month during the first year, but the rent is set to go up 9.5% per year. What would be the rent of the apartment during the 11th year of living in the apartment
The rent of the apartment during the 11th year would be $2,253.59 per month. To calculate the rent of the apartment during the 11th year, we can use the formula for compound interest:
Future Value = Present Value * (1 + Rate)^Time
In this case, the initial rent is $1300 per month, and the rate of increase is 9.5% per year. We need to find the future value after 10 years (since we're calculating for the 11th year).
First, let's calculate the future value after 10 years:
Future Value = $1300 * (1 + 0.095)^10
= $1300 * (1.095)^10
= $1300 * 2.531046
≈ $3293.36
So, the rent after 10 years would be approximately $3293.36 per month.
To find the rent during the 11th year, we need to increase this value by 9.5%:
Rent during 11th year = $3293.36 * (1 + 0.095)
= $3293.36 * 1.095
≈ $3606.26
Therefore, the rent of the apartment during the 11th year would be approximately $3606.26 per month.
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what is the probability of five people with different ages sitting in ascending or descending order at a round table?
The probability of five people with different ages sitting in ascending or descending order at a round table can be calculated as the ratio of favorable outcomes to total outcomes.
In this case, the favorable outcomes are the arrangements where the five people are seated in ascending or descending order, and the total outcomes are all possible seating arrangements of the five people. To determine the favorable outcomes, we can consider the two cases separately: ascending order and descending order.
For the ascending order case, we fix one person at a position and arrange the remaining four people in ascending order around the table. There are 4! (4 factorial) ways to arrange the remaining four people. Similarly, for the descending order case, there are also 4! ways to arrange the remaining four people.
Since we have two cases (ascending and descending), the total number of favorable outcomes is 2 * 4! = 48. To calculate the total outcomes, we need to consider that the five people can be arranged in 5! ways around the table. Therefore, the probability of five people with different ages sitting in ascending or descending order at a round table is 48 / 5!.
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What is the area of this tile?
Use inch or inch^2 for this problem.
Answer:
24 in^2
Step-by-step explanation:
To get the area of a triangle, multiply the base and height, then divide by 2.
Base=6
Height=8
6*8/2=48/2=24
24 in^2
Answer:
24 inch^2
Step-by-step explanation:
6 times 8 equals 48
Divide that by 2 and get 24
Area of Triangle is A=1/2bh
Can I get Brainliest, please!
\(\sqrt{x} x^2+2x-3\)
The result of the expression given is 3x - 3
Simplification of Linear EquationTo solve this problem, we have to simplify the equation, and write the expression.
Given that
\(\sqrt{x^2}+ 2x -3\)
In the square root, we can eliminate the square and square root using the square root rule.
Lets apply that in this expression
\(\sqrt{x^2} + 2x - 3\\x + 2x - 3\)
Lets solve the expression
\(x + 2x - 3\\3x - 3\)
The value of the expression given is 3x - 3
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How can you determine whether the sum of several numbers, such as 13 + 45 + 24 +17, is odd or even without actually calculating the sum?
Answer:
Step-by-step explanation:
Hello,
odd + odd gives even
odd + even gives odd
so odd + odd + even + odd = even + even + odd = even + odd = odd
So the sum is a odd number
thanks
The sum of three odd numbers is odd and that added to an even number results in an odd number.
What are some other related concepts?An even number raised to the even or odd power is even and an odd number raised to the power of even or odd is always an odd number.
We know the sum of two even numbers is even, the sum of two odd numbers is also even and the sum of an odd and even number is odd and vice versa.
Given four numbers first two numbers are odd so their sum is even.
The next two numbers are even and odd so their sum is odd, Now the sum of even and odd is odd.
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PLZ HELP
An artist used silver wire to make a square that has a perimeter of 40 inches. She then used copper wire to make the largest circle that could fit in the square, as shown below. How many MORE inches of silver wire did the artist use compared to copper wire?
Answer:
The artist used 8.6 inches more of silver wire
Step-by-step explanation:
Perimeter of the square
P = 4*a
P = 4*a = 40 in
a = 10 in
Each side of the square has a length of 10 in
The diameter of the circle is equal to the length of the side of the square
Diameter = 10 in
Perimeter of the circle
P_c = 2*π*radius = π*diameter
P_c = (3.14)*10 in = 31.4 in
Inches of silver wire (square) = 40 in
Inches of copper wire (circle) = 31.4 in
40- 31.4 in = 8.6 in
I Hope This Helps.
If the blue radius below is perpendicular to the chord AC which is. 14 units long, what is the length of the segment AB?
Answer:
C. 7 units
Step-by-step explanation:
The given parameters are;
The length of the chord of the circle, \(\overline{AC}\) = 14 units
The orientation of the radius and the chord = The radius is perpendicular to the chord
We have in ΔAOC, \(\overline{AO}\) = \(\overline{OC}\) = The radius of the circle
\(\overline{OB}\) ≅ \(\overline{OB}\) by reflexive property
The angle at point B = 90° by angle formed by the radius which is perpendiclar to the chord \(\overline{AC}\)
ΔAOB and ΔCOB are right triangles (triangles having one 90° angle)
\(\overline{AO}\) and \(\overline{OC}\) are hypotenuse sides of ΔAOB and ΔCOB respectively and \(\overline{OB}\) is a leg to ΔAOB and ΔCOB
Therefore;
ΔAOB ≅ ΔCOB, by Hypotenuse Leg rule of congruency
Therefore;
\(\overline{AB}\) ≅ \(\overline{BC}\) by Congruent Parts of Congruent Triangles are Congruent, CPCTC
\(\overline{AB}\) = \(\overline{BC}\) by definition of congruency
\(\overline{AC}\) = \(\overline{AB}\) + \(\overline{BC}\) by segment addition postulate
∴ \(\overline{AC}\) = \(\overline{AB}\) + \(\overline{BC}\) = \(\overline{AB}\) + \(\overline{AB}\) = 2 × \(\overline{AB}\)
∴ \(\overline{AB}\) = \(\overline{AC}\)/2
\(\overline{AB}\) = 14/2 = 7
\(\overline{AB}\) = 7 units.
Answer:
7 units
Step-by-step explanation:
An adult pass is 3 times as much as a child's pass. What is the cost of the adults pass? Write an expression for the situation
Answer:
however much the Child's pass is x 3 = Adult Pass cost
Step-by-step explanation:
Please help. I will give brainliest and 77 points
Answer:
________________
I think it may be 31%
Answer:
50%
Step-by-step explanation:
There are a total of 640 fries.
40% of them are crispy. Therefore, let C be the amount of crispy fries:
\(C=0.4(640)=256\)
Thus, the amount of soggy fries S would be:
\(S=640-256=384\)
The total of the crispy fries and the soggy fries is the sum of the fries not on the floor and on the floor. Let F denote on the floor and let NF denote not on the floor. Thus:
\(C=C_F+C_{NF}\)
C is 256:
\(256=C_F+C_{NF}\)
Same thing for soggy fries S:
\(S=S_F+S_{NF}\\\)
S is 384, thus:
\(384=S_F+S_{NF}\)
We are told that 80% of the soggy fries are on the floor. Therefore:
\(S_F=0.8(384)=307.2\)
This means that the amount of soggy fries not on the floor is:
\(S_{NF}=S-S_F\\S_{NF}=384-307.2=76.8\)
We are given that 32% of all the fries are not on the floor. Therefore:
\(NF=0.32(640)=204.8\)
The total amount of fries not on the floor is the sum of the amount of crispy fries and soggy fries not on the floor. Thus:
\(NF=C_{NF}+S_{NF}\)
We know that NF is 204.8 and that S(NF) is 76.8. Substitute:
\(204.8=C_{NF}+76.8\)
Subtract 76.8 from both sides:
\(C_{NF}=128\)
This means that out of the 256 crispy fries, only 128 of them are not on the floor.
This means that the amount on the floor is 256-128, or also 128.
Thus, the percentage of crispy fries on the floor is:
\(=\frac{128}{256}=50%\)
Our answer is 50%
What is the solution to this system of equations?
Answer:
Replace the y, z, and x values with real numbers .
0 - 3 = -3
5 + 4 = 9
3 + 4 = 7
2. In how many different ways can the letters of the word VACATION be arranged?
Answer:
20,160.
Step-by-step explanation:
-4x+3y=-30
Use intercepts to graph the linear equation.
x-intercept?
y-intercept?
The graph of -4x+3y=-30 is shown below.
The x-intercept of -4x+3y=-30 is: 7.5
The y-intercept of -4x+3y=-30 is: -10.
What are the x and y-intercepts of a Linear Equation?The x-intercept of a linear equation can be determined from its graph, where it is the point where the x-axis it intercepted by the line.
On the other hand, the y-intercept is the point on the y-axis that the graph intercepts or crosses.
Given the linear equation, -4x+3y=-30, find the x and y-intercepts as shown below:
Find the x-intercept by substituting y = 0 into -4x+3y=-30:
-4x + 3(0) = -30
-4x = -30
x = -30/-4
x = 7.5
x-intercept is 7.5
Find the y-intercept by substituting x = 0 into -4x + 3y = -30:
-4(0) + 3y = -30
3y = -30
y = -30/3
y = -10.
y-intercept is -10.
The graph of the linear equation that shows the x and y-intercepts is shown in the diagram below.
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Best Sits Design Company can make 1/12 of an order in 1/6 of that hour. How much or the order on the company complete in an hour?
The correct answer is .5 also know as 1/2.hope this helps
Assuming that data mining techniques are to be used in the following cases, identify whether the task required is supervised or unsupervised learning. If supervised learning, indicate if it would likely be framed as a regression or classification problem.
Deciding whether to issue a loan to an applicant based on demographic and financial data (with reference to a database of similar data on prior customers).
In an online bookstore, making recommendations to customers concerning additional items to buy based on the buying patterns in prior transactions.
Identifying segments of similar customers.
Estimating the repair time required for an aircraft based on a trouble ticket.
Automated sorting of mail by zip code scanning
1. This task would likely be framed as a supervised learning problem
2. This task would also be framed as a supervised learning problem.
3. This task would typically be framed as an unsupervised learning problem.
4. This task would likely be framed as a regression problem since the goal is to estimate the repair time,
5. This task can be considered as an unsupervised learning problem.
Deciding whether to issue a loan to an applicant based on demographic and financial data (with reference to a database of similar data on prior customers):
This task would likely be framed as a supervised learning problem. The goal is to predict whether to approve or reject a loan application based on the given data. Hence, it can be considered a classification problem.
In an online bookstore, making recommendations to customers concerning additional items to buy based on the buying patterns in prior transactions:
This task would also be framed as a supervised learning problem. The goal is to recommend additional items to customers based on their buying patterns. It can be approached as a recommendation system using collaborative filtering techniques, which involve predicting customer preferences. This can be considered a classification problem.
Identifying segments of similar customers:
This task would typically be framed as an unsupervised learning problem. The objective is to identify groups or clusters of similar customers based on their attributes or behaviors. Unsupervised learning algorithms such as clustering can be used to accomplish this task.
Estimating the repair time required for an aircraft based on a trouble ticket:
This task would likely be framed as a regression problem since the goal is to estimate the repair time, which is a continuous variable. Supervised learning techniques such as regression algorithms can be employed to predict the repair time based on the provided input features.
Automated sorting of mail by zip code scanning:
This task can be considered as an unsupervised learning problem. The aim is to sort mail based on zip codes, which involves grouping similar items together. Unsupervised learning algorithms like clustering can be utilized to identify patterns and group the mail accordingly.
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