Find the compand invest when £200 is invested at 9% for 5 years

Answer:

14

Step-by-step explanation:

ac/b - (a + d) = (-2)(-12)/3 - ((-2) + (-4)) = (-2)(-12)/3 - (-6) = 24/3 + 6 = 8 + 6 = 14

The bus that is the most consistent, given the data collected on travel times to school from two groups of students is C Bus 18, with a range of 10

To determine which bus is the most consistent, we should use the interquartile range (IQR) as the measure of variability. The IQR measures the spread of the middle 50% of the data, which makes it less sensitive to outliers compared to the range.

Bus 47:

Median (Q2): 16

Q1: 10

Q3: 22

IQR = Q3 - Q1 = 22 - 10 = 12

Bus 18:

Median (Q2): 12

Q1: 8

Q3: 18

IQR = Q3 - Q1 = 18 - 8 = 10

Bus 18 has a smaller IQR than Bus 47 (10 vs. 12), which means the travel times for Bus 18 are more consistent.

Note: Figures might be different due to options being for different variant but Bus 18 is the most consistent.

Find out more on IQR at https://brainly.com/question/16611580

#SPJ1

The algorithm justifies the answer of 3/5 as the fraction each person gets.

Representation of the fractions on the second row:

From what you described, two of the loaves were divided into thirds.

This means each person receives one third, and there is one third remaining. Then, this remaining third from the second loaf was further divided into fifths.

Therefore, each person receives one fifth from this remaining third.

So, the representation of the fractions on the second row would be:

Each person receives 1/3 (one third) from the two loaves.

Each person receives 1/5 (one fifth) from the remaining third.

Algorithm/Abstract strategy to justify the 3/5 found as the answer:

To find the final answer of 3/5, we can follow the steps you provided:

Divide two loaves into thirds, giving each person 1/3.

Divide the remaining third from the second loaf into fifths, giving each person 1/5.

Combining the fractions, each person has 1/3 + 1/5.

To add these fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 3 and 5 is 15. We can convert 1/3 and 1/5 to have a denominator of 15:

1/3 = 5/15 (multiplying numerator and denominator by 5)

1/5 = 3/15 (multiplying numerator and denominator by 3)

Now, we can add the fractions:

5/15 + 3/15 = 8/15

Therefore, each person receives 8/15 of a loaf.

Simplifying this fraction, we get 3/5.

Hence, the algorithm justifies the answer of 3/5 as the fraction each person gets.

Learn more about Algorithm/Abstract strategy click;

https://brainly.com/question/29438718

#SPJ1

It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

For more such questions on investment

https://brainly.com/question/29227456

#SPJ8

The expressions that are equivalent to 3^8 are:

We have to solve these out

3^8. = 6561

From the options

A. 3^2x3^4

= 9 x 81

= 729

B  3²x3^6

= 9 x 729

= 6561

C.  3^16/3^2

= 43046721/9

= 4782969

d. 3^12/3^4

= 531441 / 81

= 6561

E.  (3^4)²

= 3⁴ x 3⁴

= 3⁴⁺⁴

= 3⁸

= 6561

F. (3¹)^7

= 3⁷

= 2187

The expressions that are equivalent to 3^8 are:

Read more on mathematical expressions here:https://brainly.com/question/1859113

#SPJ1

The value of x with the given condition is 10

From the question, we have the following parameters that can be used in our computation:

D(7,2), E(1, 9), F(4,8), and G(x, 1),

Also, we have

DE || FG

This means that the lines DE and FG are parallel lines and they have equal slope

The slope is then calculated as

slope = (y₂ - y₁)/(x₂ - x₁)

So, we have

(9 - 2)/(1 - 7) = (1 - 8)/(x - 4)

Evaluate the difference

-7/6 = -7/(x - 4)

So. we have

x - 4 = 6

Evaluate

x = 10

Hence. the value of x is 10

Read more about slope at

https://brainly.com/question/3493733

#SPJ1

Answer:

0

Step-by-step explanation:

There are no scores that are much higher or lower than the others

Answer:

The equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) is y = (-4/5)x + (8/5) + π.

Step-by-step explanation:

o find the equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) using implicit differentiation, we can follow these steps:

Differentiate both sides of the equation with respect to x:

cos(x+y) * (1 + dy/dx) = 4 - 4dy/dx

Simplify by grouping the terms with dy/dx on one side and the rest on the other side:

cos(x+y) * (1 + dy/dx) + 4dy/dx = 4

Substitute x = π and y = π, since we want to find the equation of the tangent line at the point (π,π):

cos(2π) * (1 + dy/dx) + 4dy/dx = 4

Simplify:

-5dy/dx = 4 - cos(2π)

dy/dx = -4/5

Use the point-slope form of the equation of a line to write the equation of the tangent line:

y - π = (-4/5)(x - π)

Simplify:

y = (-4/5)x + (8/5) + π

The equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) is y = (-4/5)x + (8/5) + π.

Answer:

\(n^2 -3n - 6\)

Step-by-step explanation:

Looking at the image attached, you must first work out the difference between each term. This is +0, +2, +4, +6, +8, +10 (shown in orange).

Because you now have a linear sequence, the difference is now the same each time. This is +2 (shown in blue).

Because the original sequence is a quadratic, you have to halve the second difference (the +2). This means that the value of \(n^2\) is 1, so 1\(n^2\) or just \(n^2\) .

If you write out the values of \(n^2\), you can work out how much more you need to add or take away. For example, take the first three terms in the sequence.

n = 1, 2, 3

x = -8, -8, -6

\(n^2\) = 1, 4, 9

Work out the difference between \(n^2\) and x:

1 - -8 = 9

4 - -8 = 12

9 - -6 = 15

This gives you yet another linear sequence, 9, 12, 15.

Working out the formula for this, the difference is 3 each time, so it is 3n. The first value of n is 1, so 3n is 1. The difference is 6, so the formula for this linear sequence is 3n + 6.

Because \(n^2\) is greater than x, you need to take 3n + 6 away from \(n^2\).

This gives \(n^2\) - (3n+6), so the final answer is:

\(n^2\) - 3n - 6.

Answer:

The base = 24 in

The height = 16 in

Steps:

x(x-8)/2 = 192

(x²-8x)/2 = 192

x²-8x = 192 × 2

x²-8x = 384

x²-8x-384 = 0

by using the quadratic formula, the roots are: (24, -16)

hence

x = 24

The base = 24 in

The height = 16 in

The distance between carla and Lola is approximately 7.01 meters

Looking at the description given, we can conclude that the figure will resemble a right angle triangle.

And to solve this we use the Pythagoras theorem.

This states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides “.

The sides of this triangle have been named Perpendicular, Base and Hypotenuse.

Here, the hypotenuse is the longest side, as it is opposite to the angle 90°

We can represent this as

H² = O² + A²

Where?

We are given the hypotenuse and the Adjacent side; we are to find the Opposite side.

Using the expression above, we will have.

9.7² = 6.7² + Opp²

94.09 = 44.89 + Opp²

Opp² = 94.09 - 44.89

Opp² = 49.2

Opp = √49.2

Opp = 7.01 meters approximately

Hence, the distance is 7.01 meters

To learn more visit Pythagorean Theorem at

https://brainly.com/question/654982

#SPJ1

Step-by-step explanation:

Let's start by using the formula for the volume of a cylinder:

V = πr^2h

where V is the volume of the cylinder, r is the radius of the cylinder, h is the height of the cylinder, and π is a mathematical constant (approximately equal to 3.14).

Since we are dealing with a drain pipe, we can assume that the height of the cylinder is fixed and does not change. Therefore, we can rewrite the formula as:

V = πr^2h = Ah

where A is the cross-sectional area of the cylinder.

Now, let's use the given information that the drain pipe can carry 36 litres per second. We know that the volume of water that passes through the pipe in one second is equal to 36 litres. We can therefore write:

36 = Ahv

where v is the velocity of the water flowing through the pipe. Since we are assuming that the height of the cylinder is fixed, we can simplify this equation to:

36 = Av

Now we need to determine the percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second. Let's call the new diameter d2 and the old diameter d1. We can set up a proportion to solve for d2:

A1/A2 = d1^2/d2^2

We know that A1 and A2 are proportional to the volumes of water the pipe can carry, so we can write:

A1/A2 = 36/60

Simplifying this equation, we get:

A1/A2 = 3/5

Substituting in the formula for the cross-sectional area of a cylinder, we get:

πd1^2/4 / πd2^2/4 = 3/5

Simplifying further, we get:

d1^2/d2^2 = 3/5

Taking the square root of both sides, we get:

d1/d2 = sqrt(3/5)

Now we can solve for d2:

d2 = d1 / sqrt(3/5)

We want to know the percentage increase in the diameter, which we can find using the formula:

% Increase = (New Value - Old Value) / Old Value x 100%

Substituting in our values, we get:

% Increase = (d1 / sqrt(3/5) - d1) / d1 x 100%

Simplifying, we get:

% Increase = (1 / sqrt(3/5) - 1) x 100%

Using a calculator, we get:

% Increase ≈ 34.64%

Therefore, the percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second is approximately 34.64%.

The cost of each ticket bought by each of the group is $15.

The linear equation that represents the total cost spent by group 1 on the tickets is:

Amount spent = total amount spent on the tickets - discount

9x - 120

The linear equation that represents the total cost spent by group 2 on the tickets is:

3x - 30

Where:

x = is the cost of the tickets

If both groups spend the same amount, the above two linear equations would be equal to each other

3x - 30 = 9x - 120

In order to determine the value of x, take the following steps:

Combine similar terms together: 120 - 30 = 9x - 3x

Add similar terms: 90 = 6x

Divide both sides by 6

x = 90 / 6

x = 15

To learn more about discount, please check: https://brainly.com/question/416913

#SPJ1

The function given is

We are to find the inverse of the function

let f(x) =y

Then, we make x the subject of the formula from here

Then The inverse of the function becomes

Therefore the fourth option is correct

Answer:

Given that triangle RSP is a right triangle, then using the Pythagorean Theorem, RP = 5.  (3²+4²=5²)

Plugging the 5 in to triangle RPQ, we find that the Theorem still works for that one, which means it is a right triangle (5²+12²=13²)

Step-by-step explanation:

Given that triangle RSP is a right triangle, then using the Pythagorean Theorem, RP = 5.  (3²+4²=5²)

Plugging the 5 in to triangle RPQ, we find that the Theorem still works for that one, which means it is a right triangle (5²+12²=13²)

Answer:

see explanation

Step-by-step explanation:

Using Pythagoras' identity in Δ PRS

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, then

PR² = 3² + 4² = 9 + 16 = 25 ( take the square root of both sides )

PR = \(\sqrt{25}\) = 5

Using the converse of Pythagoras in Δ PQR

If the longest side squared is equal to the sum of the squares on the other 2 sides then the triangle is right.

QR² = 13² = 169

PR² + PQ² = 5² + 12² = 25 + 144 = 169

Thus Δ PQR is a right triangle, with right angle at P

The probability of selecting a patient who has and PPO plan or is between the ages of 30 and 55 is 0.62

Given,

probability of selecting a patient who has an PPO plan=P(A)=0.46

probability of selecting a patient who is between the ages of 30 and 55=P(B)=0.43

probability of selecting a patient who has an PPO plan and is between the ages of 30 and 55 =P(A∩B)=0.27

then, to find the probability of selecting a patient who has and PPO plan or is between the ages of 30 and 55 i.e. P(A∪B) use formula,

P(AUB)=P(A)+P(B)-(A∩B)

P(AUB)=0.46+0.43-0.27

P(AUB)=0.62

Thus,the probability of selecting a patient who has and PPO plan or is between the ages of 30 and 55 is 0.62

To learn more about probability refer here

https://brainly.com/question/23227867

#SPJ1

The correct answer is 3/2. In this case, x = 3/2, and its square, (3/2)^2 = 9/4, is rational. x satisfies the given condition.option (c)

To explain further, we need to understand the properties of rational and irrational numbers.

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction and has non-repeating, non-terminating decimal representations.

In the given options, (a) √5102.0 (£) and (b) √2 are both irrational numbers.

Their squares, (√5102.0)^2 and (√2)^2, would also be irrational, violating the given condition. On the other hand, (d) 4/5 is rational, and its square, (4/5)^2 = 16/25, is also rational.

Option (c) 3/2 is rational since it can be expressed as a fraction. Its square, (3/2)^2 = 9/4, is rational as well.

Therefore, (c) 3/2 is the only option where x is rational, but its square is irrational, satisfying the condition mentioned in the question.

In summary, the number x that satisfies the given condition, where x^2 is irrational but x is rational, is (c) 3/2.option (c)

for such more questions on rational

https://brainly.com/question/30339525

#SPJ8

Answer: 9(9+2) is equivalent to 81+18 because 9 plus 2 equals 11 and 11 times 9 is 99 and 81+18 is 99.

Step-by-step explanation:

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

The normal range using a compound inequality is 1.5 < x < 4

From the question, we have the following parameters that can be used in our computation:

pH values less than 4

pH values greater than 1.5

Represent the pH values with x

Using the above as a guide, we have the following:

x is less than 4

x is greater than 1.5

When represented as inequality, we have

x < 4 and x > 1.5

Combine the inequalities

1.5 < x < 4

Hence, the normal range is 1.5 < x < 4

Read more about inequalities

https://brainly.com/question/25275758

#SPJ1

Answer:

A i think

Step-by-step explanation:

edge 2021

The simplified expression is - f(x) = \(log_{2} (\frac{x^{3} (x+4)}{3}})\)

We have the following statement -

3 log Subscript 2 Baseline x minus (log Subscript 2 Baseline 3 minus log Subscript 2 Baseline (x + 4))

We have to convert it into Single logarithm.

Logarithm is a quantity representing the power to which a fixed number (the base) must be raised to produce a given number.

\(log_{b} (b^{x} ) = x\)

According to the question, We can write the given statement in the mathematical form as follows -

f(x) = \(3\;log_{2} (x )-[log_{2} (3) -log_{2} (x+4)]\)

Using the property of logarithm -

log (A) - log(B) = log (\(\frac{A}{B}\)), we get -

f(x) = \(3\;log_{2} (x )-log_{2} (\frac{3}{x+4} )\)

Using the property of logarithm -

\(a\;log (b) = log(b^{a})\)

f(x) = \(log_{2} (x^{3} )-log_{2} (\frac{3}{x+4} )\)

f(x) = \(log_{2} (\frac{x^{3}}{\frac{3}{x+4}} )\)

f(x) = \(log_{2} (\frac{x^{3} (x+4)}{3}})\)

Hence, the simplified expression is - f(x) = \(log_{2} (\frac{x^{3} (x+4)}{3}})\)

To solve more questions on logarithms, visit the link below -

https://brainly.com/question/15449901

#SPJ6

Answer:

50 cents

Step-by-step explanation:

if u add 50 cents 4 times u get $2

Answer:

X earns $ 2,178.57, as does Z, while Y earns $ 1,742.85.

Step-by-step explanation:

Since an employer pays three workers X, Y and Z a total amount of $ 6100 a month, of which X is paid 125% of the amount Y is paid; which represents 80% of the amount Z is paid, to determine how much does X receive a month the following calculation must be performed:

X = 1.25Y

Y = 0.8Z

Z = Z

Z + Y + X = 6,100

Z + 0.8Z + (1.25 x 0.8Z) = 6,100

Z + 0.8Z + Z = 6,100

2.8Z = 6,100

Z = 6,100 / 2.8

Z = 2,178.57

Y = 0.8 x 2,178.57 = 1,742.85

X = 1,742.85 x 1.25 = 2,178.57

2,178.57 + 2,178.57 + 1,742.85 = X

6,099.99 = X

Thus, X earns $ 2,178.57, as does Z, while Y earns $ 1,742.85.

Answer: A

Step-by-step explanation: The only one that’s not included in the pattern

Answer:

answer a.

Step-by-step explanation:

You can see that the shaded parts are moving counterclockwise (I think) so if you continue the pattern then you will get A.

Answer:

Step-by-step explanation:

If 11 flights were sampled with an 85% on-time arrival rate, the number of flights from the sample that arrived on time would be estimated to be 9.35, which would round to 9 flights.

This can be solved by:

(0.85x11)= 9.35

Since there can't be .35 of a flight, we would round to the nearest whole number, which would just be 9.

The final answer= 9 flights

If the linear equation 2x+3y=14 is rewritten in function notation as f(y)=−32y+7, the dependent variable is x

In the linear equation 2x+3y=14, we can solve for y by isolating it on one side of the equation:

2x + 3y = 14

3y = -2x + 14

y = (-2/3)x + 14/3

Now, we can write this equation in function notation by replacing y with f(y) and x with the independent variable, usually denoted by 'x'. Therefore, we have:

f(y) = (-2/3)x + 14/3

The function f(y) tells us the value of x for any given value of y. In other words, y is the independent variable, and x is the dependent variable.

Therefore, the dependent variable in the function f(y) = (-2/3)x + 14/3 is x. The value of x is determined by the value of y, which is the input to the function. This means that for any value of y, we can determine the corresponding value of x by plugging in y into the equation and solving for x.

To learn more about equation click on,

https://brainly.com/question/1214098

#SPJ1

Answer: 330

Step-by-step explanation: add 50 to 280 :)

Answer:

3200 of 768 is 416.67%

Step-by-step explanation:

There's your answer hope this helps.