Harry invests £6000 in a savings account. The account pays 3.4% compound interest per year. Work out the value of his investment after 3 years. Give your answer to nearest penny?

(a) Limitations: Assumes reversible process, constant heat capacity.

(b) Limitations: Assumes constant T and P, and independent DH and DS with temperature.

(c) Limitation: Assumes non-expansion conditions, may not account for volume changes in real scenarios.

Answer:

dk

Step-by-step explanation:

d

The only lattice point of the inverse is (3, 0).

What is a lattice point?

In a Cartesian coordinate system, a lattice point is a location where the - and -coordinates are both integers. A point in a regularly spaced array of points, known as a point lattice, that is at the intersection of two or more grid lines is referred to as a lattice point.

Here, we have

To find the inverse of the function, we switch the x and y values, then solve for y:

y = log2(-x + 3) - 4

x = log2(-y + 3) - 4

y = 3 - 2^(x + 4)

For x and y to be integers, both 2^x and - 2^(x + 4) must be integers.

This occurs when y is a positive integer and y ≤ 2 since 2^y becomes larger than 3 for y > 2.

Hence, the only lattice point of the inverse is (3, 0).

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Answer:

They would get a haircut on the same day in 72 days.

Step-by-step explanation:

Use least common multiple

3 l     9 /  24 / 12

4 l     3 /   8 /  4

____________

        3  /  2  /  1

LCM: 3*4*3*2*1 = 72

Answer:

49

Step-by-step explanation:

Recall that a vertical asymptote is a vertical line near which the function grows (or decreases) without bound.

Example:

From the given graph, we get that the graph does not have a vertical asymptote.

Answer: False.

The number of possible ways you can distribute the balls among the three boxes so that each box contains at least one ball = 21

Here we have 3 empty boxes.

Let us assume that a, b and c be these empty boxes.

and the total number of balls = 8

We need to distribute the balls among the three boxes so that each box contains at least one ball.

This means that a + b + c = 8

By allotting 1 ball to each box so that no box remains empty.

We get an equation a + b + c = 5

So, the possible number of ways to by allotting 1 ball to each box so that no box remains empty would be:

⁷C₂

Using combination formula:

⁷C₂

= 7! / 2!(7 - 2)!

= 21

Therefore,  the required number of ways = 21

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Answer:

8x+85

Step-by-step explanation:

you add that to this to that theres your answer

Option A and B are correct.

Parallel lines are two or more lines in the same plane that never intersect, regardless of how far they are extended. Perpendicular lines are two lines that intersect at a right angle (90 degrees), forming four right angles where they meet.

The arc putting from point C to E are same as the arc putting from point D to E.

So, we can say that DE ≅ CE (option B)

Similarly, We can say that the arc putting from point A to D are same as the arc putting from point D to E.

So, we can say that AD ≅ DE (option A)

Therefore, Option A and B are correct.

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The random variable is 3×sigma²/4.

Since, X1, X2 & X3 are independent & identically distributed.

so we have,

var(X1) = var(X2) = var(X3) = \sigma².

And,\(cov(X1 , X2) = cov(X2 , X3) = cov(X1 , X3) = 0.\)

Now,  \(var(Y1) = var(X2 + X3) = var(X2) + var(X3) + 2.cov(X2 , X3) = \sigma² + \sigma² + 0 = 2.\sigma²\)

\(var[(Y1 + Y2 + Y3)/2] = (1/4). [var(Y1) + var(Y2) + var(Y3) + 2.cov(Y1 , Y2) + 2.cov(Y1 , Y3) + 2.cov(Y2 , Y3)] = (1/4). (\sigma² + \sigma² + \sigma² + 0 + 0 + 0) = 3.\sigma²/4\)

The collection of potential outcomes for a random event is referred to as the sample space, which is the domain of a random variable. When a coin is tossed, for instance, there are only two possible outcomes: heads or tails. Read Related Links as well. Probability.

Different from an algebraic variable is a random variable. An algebraic equation's variable is an unknowable but calculable value. The formula \(10 + x = 13\) demonstrates that we can determine the precise value of x, which is \(3.\) As seen in the example of the dice above, a random variable has a set of values, and any of those values could be the outcome.

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Answer:

1. All of the above.

2. Kilowatt hours.

Step-by-step explanation:

A power bill can be defined as a utility bill issued by a power utility company (provider) to illustrate the amount of energy (electricity) consumed by a customer.

Power bills usually show the following informations;

1. The total amount due: this represents an amount of money being owed by a consumer to a power utility company. The current amount due in addition to any outstanding balance is reflected in this tab.

2. The Kilowatt hours of electricity used: this represents the amount of electricity that was used by the consumer in the previous month.

3. The payment due date: this represents the least expected date for payment to be made by the consumer. If payment isn't made on or before the due date, the consumer will be disconnected.

Generally, when calculating the power bill, power companies use kilowatt hours. The Kilowatt hours (KWh) represents the amount of energy (electricity) that is being used by a customer on a hourly rate.

Answer:

1. All of the above.

2. Kilowatt hours.
3.  $52.36

4. The original bill was $192.56

Step-by-step explanation:

took the quick check

Answer:

6.11km/hr

Step-by-step explanation:

Let the speed that Kelli swims be represented by Y

Speed of the river = 5km/hr

Distance = Speed × Time

Kelli swam upstream for some distance in one hour

Swimming upstream takes a negative sign, hence:

1 hour ×( Y - 5) = Distance

Distance = Y - 5

She then swam downstream the same river for the same distance in only 6 minutes

Downstream takes a positive sign

Converting 6 minutes to hour =

60 minutes = 1 hour

6 minutes =

Cross Multiply

6/60 = 1/10 hour

Hence, Distance =

1/10 × (Y + 5)

= Y/10 + 1/2

Equating both equations we have:

Y - 5 = Y/10 + 1/2

Collect like terms

Y - Y/10 = 5 + 1/2

9Y/10 = 5 1/2

9Y/ 10 = 11/2

Cross Multiply

9Y × 2 = 10 × 11

18Y = 110

Y = 110/18

Y = 6.1111111111 km/hr

Therefore, Kelli's can swim as fast as 6.11km/hr still in the water.

PT.1     Kelli swam upstream for some distance in one hour. She then swam downstream the same river for the same distance in only 6 minutes. If the river flows at 5 km/hr, how fast can Kelli swim in still water?

Choose the most logical value for the variable to represent.

Let x = Kelli's swimming speed in still water

PT.2    Which expression represents the distance Kelli traveled upstream?

1(x – 5)

PT.3     Which expression represents the distance Kelli traveled downstream?

0.1(x + 5)

PT.4     Solve the equation x – 5 = 0.1(x + 5) for x. Round your answer to the nearest hundredth.  Kelli can swim about 6.11  km/hour.

plot the frequency distribution with frequency 11, 8, 7, 5, 2, 2,2 and box numbers on X axis

It will show a graph which is Positively skewed.

Answer:

13 Reminder: 6

Hope this helps!

Answer:

13.857142

Step-by-step explanation:

if you continue from there you will see that you are just repeating yourself from where I wrote 60 then I went to 56 I'll just be repeating myself so I didn't continue I think it ends there.

By the Converse of the Base Angles Theorem, the third line (the side opposite the third angle) is also congruent to the other two lines.

In a triangle, if two lines are congruent, the theorem that guarantees the congruence of the third line is the Converse of the Base Angles Theorem (also known as the Isosceles Triangle Theorem).

The Converse of the Base Angles Theorem states that if two angles of a triangle are congruent, then the sides opposite those angles are congruent.

In other words, if two sides of a triangle are congruent, the angles opposite those sides will also be congruent.

So,if two lines in a triangle are congruent, it implies that the angles opposite those lines are congruent.

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Proved that X² is not an unbiased estimator for μ²

Given,

The length of the square plot = μ

The area of the square plot = μ²

You have to make the independent measurements X₁, X₂,.....Xₙ

Variance = σ²

a) We have to show that X² is not an unbiased estimator for μ²

Here,

E(X²) = V(X) + [E(X)]²

= σ²/n + μ² ≠  μ²

Then,

X² is not an unbiased estimator for μ²

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On average, a customer spends approximately 1.16 minutes waiting time on hold before they can start speaking to a representative.

To find the average waiting time for a customer on hold before they can start speaking to a representative, we need to consider both the arrival rate of calls and the average service time of the staff members.

Given:

9 staff members taking calls.

On average, one call arrives every 5 minutes (standard deviation of 5 minutes).

Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes).

To calculate the average waiting time, we need to use queuing theory, specifically the M/M/c queuing model. In this model:

"M" stands for Markovian or memoryless arrival and service times.

"c" represents the number of servers.

In our case, we have an M/M/9 queuing model since we have 9 staff members.

The average waiting time for a customer on hold is given by the following formula:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

Where:

c = number of servers (staff members) = 9

μ = average service rate (1 / average service time)

λ = average arrival rate (1 / average interarrival time)

ρ = λ / (c * μ)

First, let's calculate the average arrival rate (λ):

λ = 1 / (average interarrival time) = 1 / 5 minutes = 0.2 calls per minute

Next, calculate the average service rate (μ):

μ = 1 / (average service time) = 1 / 18 minutes = 0.0556 customers per minute

Now, calculate ρ:

ρ = λ / (c * μ) = 0.2 / (9 * 0.0556) ≈ 0.407

Finally, calculate the waiting time:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

= (1 / (9 * (0.0556 - 0.2))) * (0.407 / (1 - 0.407))

≈ 1.16 minutes

Therefore, on average, a customer spends approximately 1.16 minutes waiting on hold before they can start speaking to a representative.

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Answer:

\(\boxed{\mathrm{False}}\)

Step-by-step explanation:

\((p-q)^2\)

\((p-q)(p-q)\)

Use FOIL method.

\(p^2-pq-pq +q^2\)

\(p^2-2pq +q^2\)

Answer: 1.78 repeating

Step-by-step explanation:

Answer:

1 7/9

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Answer:

26sqrt(3)

Step-by-step explanation:

You end up with two 30-60-90 triangles.

26/2 = 13

2 * 13 * sqrt(3) = 26sqrt(3)

Answer:

.16

Step-by-step explanation:

if you divide 2 min into 12 it's going to give you the rate which is .1666666667 and just say .16 each person

Answer:

the anwser is 2 units

Step-by-step explanation:

I took the test.

Answer:

its 2 units

Step-by-step explanation:

got it right on edge 2023, just took the unit test.

Answer:

18%

Step-by-step explanation:

413-350=63%

(63/350)*100=18%

The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

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The weight gained by the spot dog during his time is 57/2 ounces.

An operation is a function in mathematics that converts zero or more input values, also known as "operands" or "arguments," into a clearly defined output value. The operation's complexity is determined by its operand count.

The most frequently studied operations are unary operations (i.e., operations of arity 1), which include additive inverse and multiplicative inverse, as well as binary operations (i.e., operations of arity 2), which include addition and multiplication. The nullary operation, also known as an operation of arity zero, is a constant. A ternary operation, also known as an operation of arity 3, is an example of the mixed product.

Given that, spot the Dog gained 4 3/4 ounces each week for the first 6 weeks of his life.

Convert the mixed fraction into improper fraction:

4 3/4 = 19/4 ounces

The weight gained for 6 weeks is:

19/4 (6) = 114/4 = 57/2

Hence, the weight gained by the spot dog during his time is 57/2 ounces.

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Answer:

1/2

Step-by-step explanation:

15/24= 62.5%

1/2= 50%

To calculate the limits below, we can use basic limit rules and arithmetic operations.

lim_(x->2) [f(x) + g(x)]

= lim_(x->2) f(x) + lim_(x->2) g(x) (by limit laws)

= 1 + (-4)

= -3

We can use the limit laws to add the limits of f(x) and g(x) since they are both approaching the same point, 2. Then, we can simply add the values of the limits to get the limit of their sum.

lim_(x->2) [g(x) - f(x)h(x)]

= lim_(x->2) g(x) - lim_(x->2) [f(x)h(x)] (by limit laws)

= -4 - [lim_(x->2) f(x)] [lim_(x->2) h(x)] (by limit laws and arithmetic operations)

= -4 - 1(0)

= -4



Again, we can use the limit laws to subtract the limit of f(x) multiplied by h(x) from the limit of g(x). To find the limit of f(x) multiplied by h(x), we can use the product rule for limits and multiply the limits of f(x) and h(x) together.

lim_(x->2) [g(x)/f(x)]

= [lim_(x->2) g(x)] / [lim_(x->2) f(x)] (by limit laws)

= -4 / 1

= -4



We can use the limit laws to divide the limit of g(x) by the limit of f(x) since they are both approaching the same point, 2.



The limits of [f(x) + g(x)], [g(x) - f(x)h(x)], and [g(x)/f(x)] as x approaches 2 are -3, -4, and -4, respectively.

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Answer:

i think it is c hope this help's

pic is Step-by-step explanation:

Answer:

quadrant III

Step-by-step explanation:

if 2 ordered pairs are (-x, -y)

that means they are in the quadrant III

the x-coordinate is negative and the y-coordinate is negative in an ordered pair: (−x, −y). For example: (−3, −5)

Answer:

Let's start by using the information given in the problem to write an equation for the perimeter of the rectangle:

Perimeter = 2(length + width)

We know that the length of the rectangle is twice its width, so we can write:

length = 2*width

Substituting this expression into the equation for the perimeter, we get:

Perimeter = 2(2*width + width)

Simplifying this expression, we get:

Perimeter = 6*width

We are given that the perimeter is 7 1/3 cm, which we can convert to a mixed number:

Perimeter = 7 + 1/3 = 22/3

Substituting this value into the equation above, we get:

22/3 = 6*width

Solving for the width, we get:

width = 22/3 ÷ 6 = 11/9

Now that we have the width, we can use the expression for the length to find its value:

length = 2*width = 2(11/9) = 22/9

Finally, we can use the formula for the area of a rectangle, A = length * width, to find the area:

A = (22/9) * (11/9) = 242/81 square cm

Therefore, the area of the rectangle is 242/81 square cm.