The interest earned at the end of the period by Jones is $5600.
How to calculate the interest?It should be noted that the simple interest is calculated as:
= Principal × Rate × Time
In this case, Jones deposited $40,000 in a bond and earned simple interest at 7% annually for two year
The interest will be:
= Principal × Rate × Time
= $40000 × 7% × 2
= $40000 × 0.07 × 2
= $5600
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Particle A has very little mass in comparison to Particle B. Both particles are in the same atom. Which is the best conclusion about Particles A and B?They have the same charge.They are located in the nucleus together.Particle A has a positive charge, and Particle B is neutral.Particle A orbits the nucleus, and Particle B is located in the nucleus.
Answer:
Particle A is a proton and particle B is a neutron
Step-by-step explanation:
The bakery shipped out b boxes of bagels. Each box contained 12 bagels. Write an expression that shows the total number of bagels shipped.
Answer: b=12x
Step-by-step explanation:
The bakery shipped out b boxes of bagels.
Each box contained 12 bagels
b is the number o boxes
x is the number of bagels in each box
2. The product of 0.5 and a number is 10. (a) Represent the statement as an equation. Use n for the variable. (b) Determine the solution set using the replacement set (0.05,0.5.2,20}
a). The representation of the given expression as an equation is; 0.5n = 10.
b). The solution set is; {0.025, 0.25, 1, 10}.
Which equation correctly represents the given word phrase?It follows from the task content that the given statement be represented as an equation.
Since the given word phrase is; The product of 0.5 and a number is 10.
Let the number be n;
a). Hence, the required equation is; 0.5n = 10.
b). However, to determine the solution set using the replacement set; {0.05,0.5,2,20} according to the expression; 0.5n.
When; n = 0.05; the result is; 0.025.
When; n = 0.5; the result is; 0.25.
When; n = 2; the result is; 1.
When; n = 20; the result is; 10.
Therefore, the required solution set is; {0.025, 0.25, 1, 10}.
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When comparing three or more populations means within a set of quantitative data that is categorized according to one factor/treatment, a one-way anova is appropriate. It is also appropriate in this situation, however, to compare two means at a time using multiple independent two sample t-tests. True or false?.
According one-way ANOVA, the test is false.
In the given question,
When comparing three or more populations means within a set of quantitative data that is categorized according to one factor/treatment, a one-way ANOVA is appropriate. It is also appropriate in this situation, however, to compare two means at a time using multiple independent two sample t-tests. We have to check whether this is true or false.
We firstly learn about one-way ANOVA
"One-Way ANOVA, also known as "analysis of variance," examines the means of two or more independent groups to see if there is statistical support for the notion that the related population means are statistically substantially different."
According to the given method it is inappropriate to compare two means at a time using multiple independent two sample t-tests. It will create multiple testing problem and error.
So using one way ANOVA test when comparing three or more populations means within a set of quantitative data that is categorized according to one factor/treatment and compare two means at a time using multiple independent two sample t-tests is false.
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help!!!
Use mental math to decide which equations are true. Drag the true equations into the box.
1.23÷101=0.123
123÷100=1.23
12.3÷100=1.23
0.123÷10=1.23
1,230÷103=1.23
true equations
wh at is the smallest number of rectangles, each measuring 2cm by 3cm, which are needed to fit together without overlap to form a rectangle whose sides are in the ratio 5:4 ?
The smallest number of rectangles required will be 30.
Given:- The sides of the rectangle are in the ratio of 5:4
let, length=5x
breadth=4x
Area = 20x²
Area of smaller rectangle =2*3
=6cm²
Now, take numbers which are in the ratio of 5:4;
suppose, Case 1=10:8
Case2 = 15:12
For Case 1;
number of rectangles needed =10*8/2*3
=13.3333
This means it is overlapping hence, not possible.
For Case 2;
number of rectangles needed=15*12/2*3
=30
therefore, the smallest number will be 30.
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A bike shop X it costs $1.50 per hour plus a $4.00 deposit to rent a bike. At Bike Shop Z it costs $0.50 per hour plus a $9.00 deposit to rent a bike. The total cost, c, of renting a bike for n hours at either bike shop can be represented by an equation. Write and solve a system of equations to find how many hours you have to rent the bike for the cost to be the same.
Answer:
4+1.5n=c
9+0.5n=c
5 hours
Step-by-step explanation:
(n) represents the number of hours
(c) represents the total cost
Bike shop A) $4+$1.5n=c
Bike shop Z) $9+$0.5n=c
4+1.5n=9+0.5n
n=5 Both shops would charge the same amount at 5 hours.
A new shopping mall is gaining in popularity. Every day since it opened, the number of shoppers is 5\%5%5, percent more than the number of shoppers the day before. The total number of shoppers over the first 101010 days is 125812581258.
The population on the first day of the opening of the mall was 7723.66.
Percentage:
A relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity.
Here it is given that there is an increase in the population of the mall by 5%
We have to find the population on the first day.
The population on the 10th day is 12581.
let x be the population on the first day.
Population on the 10th day = x( 1 + 5/100[tex])^{10}[/tex]
12581 = x [tex]1.05^{10}[/tex]
x = 12581/ 1.62889
= 7723.66
Therefore we get the population on the first day of the mall to be 7723.66.
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Docking Boat. A boat is
pulled to dock by a rope
attached to a pulley on the
dock. The vertical distance
between the pulley and
the boat is 3 metres. If the
rope is shortened at a rate
of 0.75 m/s, how fast is the
boat moving when the boat is
7.5 metres from the dock?
Answer:
When the boat is 6 m from the dock, it is approaching the dock at the rate of √37/6 m/sec.
Step-by-step explanation:
Let x = distance of the boat from the dock at time t
y = length of rope at time t
Draw a right triangle with horizontal leg x, vertical leg 1, and hypotenuse y.
We know that dy/dt = -1 and want to find dx/dt when x = 6.
By the Pythagorean Theorem, x2 + 12 = y2.
2x(dx/dt) = 2y(dy/dt)
dx/dt = y(dy/dt) / x When x = 6, y2 = 36 + 1 = 37
So, y = √37
dx/dt = -√37 / 6
When the boat is 6 m from the dock, it is approaching the dock at the rate of √37/6 m/sec.
be the matrix representation of the hamiltonian for a three-state system with basis states 11), 12), and 13). (a) if the state of the system at time t
The values of the elements of the matrix will ψ(t)⟩=e−iE1t/ℏ|2⟩
What is the matrix representation of the Hamiltonian?Let's say the block matrix is used to represent the 2n by 2n matrix A.
Displaystyle A="begin" "bmatrix" "a&b" "c&d" "end"
where n-by-n matrices a, b, c, and d. The requirement that b and c be symmetric and that a + dT = 0 are similar to the requirement that A be Hamiltonian. The fact that A is of the form A = JS with S symmetric is another equivalent requirement.
Two Hamiltonian matrices can be added together (as can any linear combination), and their commutator is also Hamiltonian. The space of all Hamiltonian matrices is hence a Lie algebra, indicated by the symbol sp (2n). Sp(2n) has a dimension of 2n2 + n.
H^=E0(|1⟩⟨1|+|3⟩⟨3|)+E1|2⟩⟨2|+A(|1⟩⟨3|+|3⟩⟨1|)H^=E0(|1⟩⟨1|+|3⟩⟨3|)+E1|2⟩⟨2|+A(|1⟩⟨3|+|3⟩⟨1|)
It is then straightforward to see that :
• |2⟩|2⟩ is an eigen state with eigen value E1E1 as you have already noticed. Hence if the initial state is |2⟩|2⟩ then
|ψ(t)⟩=e−iE1t/ℏ|2⟩
• (|1⟩+|3⟩)(|1⟩+|3⟩) and (|1⟩−|3⟩)(|1⟩−|3⟩) are eigen states with respective eigen values of E0+AE0+A and E0−AE0−A. Hence if the initial state is |3⟩=12[(|1⟩+|3⟩)−(|1⟩−|3⟩)]|3⟩=12[(|1⟩+|3⟩)−(|1⟩−|3⟩)], then
|ψ(t)⟩=12[e−i(E0+A)t/ℏ(|1⟩+|3⟩)−e−i(E0−A)t/ℏ(|1⟩−|3⟩)]
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incomplete question: complete question is
Let
⎡⎣⎢E00A0E10A0E0⎤⎦⎥[E00A0E10A0E0]
be the matrix representation of the Hamiltonian for a three-state system with basis states |1>,|2>and |3>|1>,|2>and |3>.
a. If the state of the system at time tt = 00 is |ψ(0)>=|2>|ψ(0)>=|2> what is |ψ(t)>|ψ(t)>?
b. If the state of the system at time tt = 00 is |ψ(0)>=|3>|ψ(0)>=|3> what is |ψ(t)>|ψ(t)>?
Please help me ASAP!!
Answer:
1
Step-by-step explanation:
Please Help Me I'm going to cry If don't get this right ASAP!!!! 100 points Whoever answers gets Brainllest.
!!PLEASE HELPPPPPP!!
Answer:
Q29. ∠CAD = (180° - 92°) ÷ 2 (angle sum of triangle; base angles of an isosceles triangle)
= 44°
Q30. Since triangle ACD is an isosceles triangle,
∴ ∠ACD = ∠CAD = 44°
Q31. ∠ACB = 180° - 44° (adjacent angles on a straight line)
= 136°
Q32. ∠ABC = (180 °- 136°) ÷ 2 (angle sum of triangle; base angles of an isosceles triangle)
= 22°
Do the following rectangle have the ame perimeter, area, or both? A rectangle i labeled 4 centimeter along it left ide and 5 centimeter along it top ide. A rectangle i labeled 4 centimeter along it left ide and 5 centimeter along it top ide. A rectangle i labeled 10 centimeter along it left ide and 2 centimeter along it top ide. A rectangle i labeled 10 centimeter along it left ide and 2 centimeter along it top ide. Chooe 1 anwer: Chooe 1 anwer: (Choice A) A Same area only (Choice B) B Same perimeter only (Choice C) C Same area and perimeter
(Choice A) A Same area only is the correct option about rectangles.
The perimeter and area is calculated using the formula -
Perimeter = 2 (length + breadth)
Area = length × breadth
Now, calculating the perimeter and area of each rectangle
Rectangle with dimensions 5 cm and 4 cm
Perimeter = 2 (5 + 4)
Perimeter = 2 × 9
Perimeter = 18 cm
Area = 5 × 4
Area = 20 cm²
Rectangle with dimensions 2 cm and 10 cm
Perimeter = 2 (2 + 10)
Perimeter = 2 × 12
Perimeter = 24 cm
Area = 2 × 10
Area = 20 cm²
Thus, both the rectangles will have same area.
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how many lots, each measuring 72.5 feet wide by 100 feet deep, could be made from a two-acre parcel of land?
There can be up to 12 lots which could be made out of 2 acre land.
What is acre?
Acre is a measurement unit which is used to measure length of land .
In the British Imperial and United States Customary systems, 1 acre equal to 43,560 square feet.
Main body:
so 1 acre = 43560 feet ²
So in 2 acre of land = 2*43560
= 87120 sq. ft.
Width of 1 plot = 72.5 feet
Depth of 1 plot = 100 feet
Area of 1 plot = 100*72.5
= 7250 sq. ft.
Total no. of plots = Total are of land / area of 1 plot
= 87120/ 7250
≈12
Hence total plots that can be made out of 2 acre land is 12.
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Two marksmen fire at a target simultaneously. Jiri hits the target
70% of the time and Benita hits it 80% of the time. Determine
the probability that:
a)they both hit the target. b)Jiri hits but Benita misses
c)they both miss the target
d)Benita hits but Jiri misses
The probability will be .56, .24,0.06 and .21 respectively in the question.
What is probability?
By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.
Presumably, the events are independent.
the probability that they both hit the target :
p(both hits) = .8*.7 = .56.
Jiri hits but Benita misses:
P(Benita hits &Jiri misses) = P(Benita hits)×P(Jiri misses) = .8 * .3= .24
they both miss the target:
p(both misses) = .2*.3 = 0.06
Benita hits but Jiri misses:
P(Benita misses &Jiri hits) = .2*.7 = .21
Hence the probability will be .56, .24,0.06 and .21 respectively in the question.
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A scale drawing of a fountain is 5 inches tall. The actual fountain is 9 feet tall.
a) What is the scale of the drawing? 1 in:
ft
b) What is the scale factor of the drawing?
a) The scale of the drawing is in the ratio of 1 in:1.8ft.
b) The scale factor of the drawing is 0.0463.
What is the scale factor?The scale factor refers to the ratio between the scales of an original object and the scale drawing.
To scale down the original measurement, the scale factor formula is the dimension of the new shape ÷ the dimension of the original shape.
To scale up the original measurement, the scale factor formula is the dimension of the original shape ÷ the dimension of the new shape.
1 foot = 12 inches
Height of drawing = 5 inches
Height of fountain = 9 feet = 108 inches (9 x 12)
The scale of drawing to the fountain = 5 inches:9 feet = 1 inch:1.8 feet
Scale Factor = Dimension of the new shape ÷ Dimension of the original shape
= 5 ÷ 108
= 0.046296
= 0.0463
Thus, the actual fountain was scaled down by a scale factor of 0.0463.
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Lauren and Chris buy 60 rolls of paper towels in bulk. They use up 1 roll every week and a half. How many weeks will it take them to run out of rolls of paper towels?
Total number of rolls are 60, they used 1 and half roll per week. So, 40 weeks will it take them to run out of rolls of paper towels.
What are Paper towels?Paper towels are the disposable paper made up from the paper. It is an absorbent, which designed to absorb liquid. It is made up of pulp like tissue paper which are meant to be single time use only.
Paper towel is made up of cellulose fibers who are bigger in size consist of many small molecules linked together. Paper towels are used in drying, wiping, cleaning, toilets etc.
For given information,
Total rolls= 60
They used up 1 roll in 1.5 week or 1 week and half
So,
60 + 60*1/2
60+30= 90 weeks
Thus, total number of rolls are 60, they used 1 and half roll per week. So, 40 weeks will it take them to run out of rolls of paper towels.
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find an equation parallel to y=5 and passing through (3,-5)
Using the equation of line, the equation parallel to y=5 and passing through (3,-5) is y+5=0.
In the given question,
We have to find an equation parallel to y=5 and passing through (3,-5).
The equation parallel to y=5.
Point is (3,-5).
We firstly find the slope of y=5
Expressing the equation in the general form
y=0×x+5
On comparing to the y=mx+c, we get slope(m) = 0.
The given point is (3,-5) in which [tex]x_{1}[/tex]=3 and [tex]y_{1}[/tex]= -5
Now finding the equation.
So the Equation of line is
y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])
Now putting the value
y-(-5)=0(x-3)
Simplifying
y+5=0
Hence, the equation parallel to y=5 and passing through (3,-5) is y+5=0.
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a circle with center at (12,-1) passes through (0,-1) find the circumfrence and the area of the circle intersm of y
The circumference and the area of the circle in terms of "π" are 24π and 144π.
We are given a circle. The coordinates of the center of the circle are (12, -1). The circle passes through a point. The coordinates of the passing point are (0, -1). We need to find the circumference and area of the circle.
Let the radius, circumference, and area of the circle be denoted by the variables "r", "C", and "A", respectively. The radius is the distance between the center of the circle and a point on its boundary. We will use the distance formula.
r = √[(12 - 0)² + (-1 - (-1))²]
r = √[144 + 0]
r = 12
The radius of the given circle is 12 units.
The circumference of the circle is calculated below.
C = 2πr
C = 2π×12
C = 24π
The area of the circle is calculated below.
A = πr²
A = π(12)²
A = 144π
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A chool i arranging a field trip to the zoo. The chool pend 683. 47 dollar on pae for 38 tudent and 3 teacher. The chool alo pend 334. 78 dollar on lunch for jut the tudent. How much money wa pent on a pa and lunch for each tudent?
25.48 was spent on a pass and lunch for each student.
Total money spend on passes = 683.47
Total no. of people = 38 + 3
= 41
Money spend on pass for each person = 683.47/41
= 16.67
Total money spend on lunch = 334.78
Total no. of students = 38
Money spend on lunch for each student = 334.78/38
= 8.81
Total = 16.67 + 8.81
= 25.48
Hence, 25.48 was spent on a pass and lunch for each student.
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what an perfect square number is closer to 11
Answer:
The perfect square number for 11 is 121.
Step-by-step explanation:
The term "square" in math represents multiplying a number twice, in this case:
11 x 11 = 121.
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
In the image below, the m<1 = (x -18)° and the m<2 = (3x+36)°. What is the measure of <3? Show all your work.
The measure of angle 3 is 22.5°.
Given,
∠1 = (x-18)°
∠2 = (3x+36)°
∠1 + ∠2 = 180° (Straight Line)
x - 18 + 3x + 36 = 180
4x + 18 = 180
4x = 180 - 18
4x = 162
x = 162/4
x = 40.5
∠3 = ∠1 (Alternate opposite angles)
= x - 18
= 40.5 - 18
= 22.5
Hence, ∠3 is 22.5°.
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Band members are selling magazines to raise $150 for a field trip. The bar graph below shows the amount six band members have collected so far. Paul, Jim, and Dan are boys and Jane, Mia, and Bryn are girls.
By what percent of the total money raised so far do the girls exceed the boys?
Answer: About 7%
Step-by-step explanation:
20 points
need help with this
Answer:
D
Given the inequation symbols > and < , the lines will be dotted.
Please help, marking brainliest for the best explanation and correct answer!
Solve by the substitution method.
8x-3y=20
5x-y=2
Answer is in ordered pair (x,y)
The ordered pair (x,y) obtained from the linear equations is: (-2,-12)
What is Linear Equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
Definition of a Linear Equation: Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason. A linear equation is expressed using the linear equation formula. There are several ways to accomplish this. A linear equation, for instance, can be written in standard form, slope-intercept form, or point-slope form. To discover how a linear equation is stated in its standard form, let's take an example.
The equation is given:
8x-3y=20
5x-y=2
Using the substitution method for solving the linear equations:
From the equation:
5x-y=2;
we can transform this equation as:
⇒-y = 2-5x;
⇒y = 5x-2;
Now substituting the value of y in the other equation: we get;
⇒8x-3(5x-2)=20
⇒8x -15x+6 = 20;
⇒-7x=14;
x = -2;
Now putting the value of x in the equation to get the value of y;
So,
y = 5(-2) -2;
y = -12;
Hence the value of x and y are -2 and -12 respectively;
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✓1. Prove that in an equilateral triangle,
all three of whose vertices fall on a
circle, the three sides are equally
distant from the center.
The three sides are equally distant from the center and the distance is L/√3
Let the triangle be ΔABC with vertices A,B and C with length of each side L. Each angle will be 60°
L=AB=BC=CA
Draw 3 angle bisectors(or 3 altitudes or 3 medians). These all meet at a single point which is the center of the equilateral triangle. Let the centre be D.
Now consider the ΔADB . The ∠ADB=120° ( ∵∠BCA=60° . The angle bisector makes ∠DAB=∠DBA=30°)
Using Sine rule for triangles:
a/sin(A)=b/sin(B)=c/sin(C)
Where a is the length of side opp. to the side of ∠A . Similarly, b and c are also defined as the length of side opp. to the ∠B and ∠C respectively.
Then, in this case, in ΔADB
Lsin(120°)=ADsin(30°)=BDsin(30°)
⇒AD=Lsin(30°)/sin(120°)=Lx(1/2)/(√3/2)
⇒AD=L/√3
Similarly, DB=L/√3
Thus the three sides are equally distant from the center and the distance is L/√3
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Please help with algebra. Thanks
How many paralellograms are there in the picture?
Correct option is D)
We shall label the figure as shown below:
The simplest parallelograms are ABML, BCNM, COON, DEFO, OFGH, NOHl, MNIJ and LMJK i.e. 8 in number.
The parallelograms composed of two components each are ACNL, BDOM, CEFN, LNIK, MOHJ, NFGI, ABJK, BCLJ, CDHI and DEGH i.e. 10 in number.
The parallelograms composed of three components each are ADOL, BEFM, LOHK and MFGJ i.e. 4 in number.
The parallelograms composed of four components each are AEFL, LFGK, ACIK, BOHJ and CEGI i.e. 5 in number.
The parallelograms composed of six components each are ADHK and BEGJ i.e. 2 in number. AEGK is the only parallelograms composed of eight components.
Total number of parallelograms in the figure =8+10+4+5+2+1=30
Hence, the answer is (D).
Answer:
Option D is correct
Step-by-step explanation:
...
Hi my name is winstead
Answer: Hello winstead. I'm Walter White
Step-by-step explanation:
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