Colin invests £3700 into his bank account.
He receives 7% per year simple interest.
How much will Colin have after 4 years?
Give your answer to the nearest penny where appropriate

Answer:

0

Step-by-step explanation:

Its equal to something multiplied by 0 so it is 0

Salifu moved about 559 meters east from the starting point

What is Pythagoras Theorem?

The triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).

Using the Pythagorean theorem, we have:

\(c^2 = a^2 + b^2\)

where c is the length of the hypotenuse, a is the length of the northward side, and b is the length of the eastward side.

Substituting the given values, we get:

\(c^2 = 500^2 + 250^2\\\\c^2 = 250000 + 62500\\\\c^2 = 312500\)

Taking the square root of both sides, we get:

c ≈ 559.02

Therefore, Salifu moved about 559 meters east from the starting point (rounded to the nearest whole number).

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Answer:

63.4°

Step-by-step explanation:

y = 2x - 1

dy/dx = 2

∴ The angle is arc tan(2) = tan^-1(2) = 63.4°

The total cost of the vegetable seeds is $18.85

We can multiply the cost per package by the number of packets to get the total cost of the vegetable seeds.

There are 13 packages in this case, each costing $1.45 with VAT.

Cost of seeds overall equals Price per packet * Number of packages

Each box costs $1.45.

There are 13 packages total.

$1.45 * 13 is the total cost of the seeds.

We may multiply the price per package ($1.45) by the quantity of packets (13), which will get the total cost:

Total price of seeds: $1.45 multiplied by 13 equals $18.85

It's vital to remember that, as stated in the problem, tax is already included in the pricing per package. Therefore, there is no need to adjust the estimate to account for additional taxes. Given that there are 13 packets and that the price each box is $1.45, we can calculate the total cost by multiplying the number of packages by the price per package.

In order to buy all 13 packages of vegetable seeds, Kevin would need to spend the whole sum shown. In this instance, the overall expense is $18.85.

Include the appropriate unit in your response, which should be "dollars" ($).

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Answer:

I'm pretty sure it is because if you simplify them it's all 2 over 3

1) Given that the volume of the spherehe volume of the sphere

Answer:

27/49

Step-by-step explanation:

look image

Red

Answer:

21^84/21^9

Step-by-step explanation:

you multiply the base and you will get 21 Then you multiply the two exponents 7 and 4 is 28. then multiply 28 times 3 is 84 and the denominator stay the same

Answer: 45

Step-by-step explanation: 85/19=45

Answer:

2

Step-by-step explanation:

In table 9.1, the marginal cost of producing the seventh unit of output is equal to $8.
Marginal cost refers to the additional cost incurred when producing one more unit of output. To find the marginal cost of producing the seventh unit of output, follow these steps:

1. Locate the total cost column in table 9.1.
2. Identify the total cost of producing 6 units of output.
3. Identify the total cost of producing 7 units of output.
4. Subtract the total cost of producing 6 units from the total cost of producing 7 units.

The difference you get from step 4 is the marginal cost of producing the seventh unit of output.

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Answer:

200 : 11

Step-by-step explanation:

The quantities in the ratio must have the same units, thus ratio is

1 Kg : 55 g

= 1000 g : 55 g ← both in grams ( divide both quantities by 5 )

= 200 : 11

Given:

Line segment is CD.

To find:

The beginning steps of constructing a perpendicular bisector of CD.

Solution:

To draw a perpendicular bisector of a line segment, first we need to open the compass more than half of the distance between the end points of the segment.

End points of the segment CD are C and D.

So, to draw a perpendicular bisector of CD, the compass should be stretched out  more than halfway from point C to the other endpoint D.

Therefore, the correct option is C.

36 square units make up the larger circle's surface area.

We can use the fact that the smaller circle is tangent to the larger circle and passes through its center to find the area of the larger circle. Since the radius of the smaller circle is tangent to the larger circle, the radius of the larger circle is double the radius of the smaller circle.

Let's call the radius of the smaller circle "r" and the radius of the larger circle "R". We know that R = 2r.

We know that the area of a circle is given by the formula A = πr^2.

We know that the area of the smaller circle is 9 square units, we can use this formula to find the radius:

A = πr^2 => r^2 = 9/π => r = sqrt(9/π)

Now we can use the formula of the area of a circle with R-value to get the area of the larger circle:

A = πR^2 => A = π(2r)^2 => A = 4πr^2 => A = 4π(9/π) => A = 36

So the area of the larger circle is 36 square units

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Answer:

3.1.1) There are four terms in this expression.

3.1.2) The coefficient of x^3 is 0.5.

3.1.3) The constant term is 8.

3.1.4) The degree of the expression is 5.

Answer:

-1-x

Step-by-step explanation:

i think im not sure

The smallest whole number satisfying the given remainders is 2519 when divided by the given sequence of numbers.

To find the number, we need to look for the smallest number that leaves a specific remainder when divided by each of the given numbers.

We can start by considering the remainders in reverse order: Since dividing by 2 leaves a remainder of 1, we search for numbers that end with 1.

By applying the same logic to the remaining numbers, we find that the number must end with 1 and be divisible by 2, 3, 4, 5, 6, 7, 8, 9, and 10.

By finding the least common multiple of these numbers (2345678910), which is 2520, we subtract one to obtain 2519.

Thus, 2519 is the smallest whole number that satisfies the given conditions.

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Answer:

a

Step-by-step explanation:

Answer:

945 dollars

Step-by-step explanation:

find 10 percent of 750 and subtract it from 750. then you divide by 5 to get how much it would cost for 100 and then multiply that by 7 to get 700 square feet being 945 dollars

The process that generates more values that are more than 2 standard deviations from the mean is called a "fat-tailed" distribution.

In a fat-tailed distribution, the probability of extreme values occurring is higher compared to a normal distribution.

To understand this concept, let's consider two processes: Process A and Process B.

Process A generates a dataset with a normal distribution, while Process B generates a dataset with a fat-tailed distribution.

In a normal distribution, the majority of the data falls close to the mean, with fewer values farther away.

The probability of values more than 2 standard deviations from the mean is relatively low.

On the other hand, in a fat-tailed distribution, there is a higher likelihood of extreme values occurring.

This means that the probability of values more than 2 standard deviations from the mean is higher.

For example, let's say we have two datasets: Dataset A generated by Process A and Dataset B generated by Process B.

We calculate the mean and standard deviation for both datasets.

In Dataset A, if the mean is 50 and the standard deviation is 5, then values more than 2 standard deviations away from the mean would be greater than 60 or less than 40.

In Dataset B, if the mean is 50 and the standard deviation is also 5, then values more than 2 standard deviations away from the mean would have a wider range.

These values could be significantly higher than 60 or lower than 40, depending on the specific distribution of Dataset B.

Therefore, if Process B generates a fat-tailed distribution, it is more likely to produce values that are more than 2 standard deviations from the mean compared to Process A and its normal distribution.

In summary, the process that generates more values that are more than 2 standard deviations from the mean is a fat-tailed distribution, which has a higher likelihood of extreme values occurring.

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Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero

Events A and B are not independent because P(A|B) ≠ P(A). The correct option is C

Given that Stephan wins, the likelihood of Roger winning the tournament is 0 (P(A|B) = 0), which means that the occurrence of event B (Stephan winning) utterly disqualifies event A (Roger winning).

This suggests that the two occurrences are highly dependent on one another. The outcome of one event would not influence the likelihood that event B would occur if events A and B were independent. In this instance, however, the likelihood of Stephan winning (event B) influences the likelihood of Roger winning (event A), resulting in a non-equal conditional probability (P(A|B) P(A)).

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Answer:

9 is the largest number of baskets they can make and still have enough muffins.

Step-by-step explanation:

If they want to use all three types of muffins for the basket, they’d have to find the GCF (greatest common factor) of 30, 54, and 27, which is 9. They’d still have a lot left over... but if they want to put all three types of muffins then they can only make 9 full baskets.

Hope this helped :)

The length of 12cm on the map represents an actual distance of 0.0012 meters in the real world.

The map ratio of 1:10,000 means that one unit of measurement on the map represents 10,000 units of measurement in the real world.

In this case, the units of measurement are centimeters on the map and meters in the real world.

If a length on the map is 12cm, we can use the map ratio to calculate the actual distance it represents in meters.

Multiplying the length on the map by the ratio and then converting the result to meters:

12 cm × 1/10,000 = 0.0012 meters

Therefore, a length of 12cm on the map represents an actual distance of 0.0012 meters in the real world.

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Answer:

?????

Step-by-step explanation:

\( {c}^{2} - 5c - 8 \\ 36 - 30 - 8 \\ - 2\)

sin 45° = 25/y

(√2)/2 = 25/y

y√2 = 2 × 25

y√2 = 50

y = 50/√2

y = 25√2

so the correct answer is 25sqrt2

Answer:

Carla needs to make at least 11 two-pointer shots in the surrent game

Step-by-step explanation:

The first thing we can do is to find the difference between the number of points that Carla scored in her first game and her second game.

This will be 46 - 24 = 22 points difference

Carla needs to make a certain number of two-pointers to get at least the same score she had in her previous game.

We can get this number of two-pointers that needed to be made by dividing the difference in scores by 2

i.e number of two-pointer shots = 22/2 =11 shots

Therefore, Carla needs to make at least 11 two-pointer shots to be able to get the same score in her current game.

Answer:

y = -1/4x + 3

Step-by-step explanation:

Step 1: Write out known variables

m = -1/4

y = -1/4x + b

Step 2: Find b

2 = -1/4(4) + b

2 = -1 + b

b = 3

Step 3: Rewrite equation

y = -1/4x + 3

Therefore, it will take approximately 13.7 years for the population to double.

a. To determine the growth rate, you need to calculate the percentage increase in population. The formula for growth rate is:

Growth Rate = (New Value - Old Value) / Old Value * 100

Using the given values, we have:

Growth Rate = (1577 - 1500) / 1500 * 100
Growth Rate = 77 / 1500 * 100
Growth Rate ≈ 5.13%

b. To write a general equation for the population, you can use the formula:

p(t) = p(0) * (1 + r/100)^t

where p(t) is the population at time t, p(0) is the initial population, r is the growth rate, and t is the number of years.

c. To estimate the population in 2010, we need to find the population at time t = 2010 - 2000 = 10 years. Using the general equation from part b, and substituting the given values:

p(10) = 1500 * (1 + 5.13/100)^10
p(10) ≈ 1500 * (1.0513)^10
p(10) ≈ 1500 * 1.6436
p(10) ≈ 2465.4

Therefore, the estimated population in 2010 is approximately 2465.

d. To find out how many years it will take for the population to double, we need to solve the equation:

2 * p(0) = p(0) * (1 + r/100)^t

Simplifying the equation, we have:

2 = (1 + r/100)^t

Taking the logarithm of both sides, we get:

log(2) = t * log(1 + r/100)

Finally, solving for t, we have:

t = log(2) / log(1 + r/100)

Substituting the growth rate from part a, we have:

t = log(2) / log(1 + 5.13/100)
t ≈ log(2) / log(1.0513)
t ≈ 13.7 years

Therefore, it will take approximately 13.7 years for the population to double.

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The formula which describes the given situation is A = 300 \(e^{0.06t}\) . The solution is obtained by using compound interest.

What is compound interest?

Unlike simple interest, which does not take the principal into account, compound interest does so when calculating the interest for the following month. Compound interest is sometimes represented by the letter C.I. in algebra.

We know that the formula for compound interest is

A = P\(e^{rt}\)

In the question, we are provided with the following information

P = $300

r = 0.06

So, from this we get

A = 300 \(e^{0.06t}\)

Hence, the formula which describes the given situation is A = 300 \(e^{0.06t}\) .

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