$1000 was invested into a GIC that returns 5% simple interest every year. If the GIC
matures in 4 years, what is the total value of the investment at maturity?
$1050
$1200
$200
$50

The required explanation for log of base 10 is described.

The ability of logarithms to solve exponential problems is a large part of their strength. Examples of this include sound (measured in decibels), earthquakes (measured on the Richter scale), starlight brightness, and chemistry (pH balance, a measure of acidity and alkalinity).

The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).

The logarithm can be rewritten using the general rule. The common logarithm, which has a base of 10 always, is what you're dealing with when the log has no base.

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At least 10 students scored lower than Jenny.
The possible range of the marks of the top four students is 75.5 to 85.5 marks.
The least possible pass mark is 55.5 marks.

What is frequency ?

Frequency refers to the number of times a particular value or category appears in a set of data. It is a basic concept in statistics that helps to describe and analyze data.

Frequency can also be used to create frequency distributions, which are tables that show the frequency of each value or category in a set of data. Frequency distributions can be used to help visualize and analyze patterns in data, and they are often used in statistical analysis and research.

According to the question:
(a) No, Jenny could not be one of the three students with the lowest marks because her score of 41.5 marks falls above the cumulative frequency of 10 (i.e., the number of students who scored below 40 marks). Therefore, at least 10 students scored lower than Jenny.

(b) To find the possible range of the marks of the top four students, we need to look at the cumulative frequency of 31 (i.e., the number of students who scored below 35.5 marks). The top four students would be the ones who scored above this mark. Looking at the cumulative frequency polygon, we see that this mark falls between the scores of 75.5 and 85.5, so the possible range of the marks of the top four students is 75.5 to 85.5 marks.

(c) If 60% of the students pass the examination, then the total number of students who pass is 0.6 x 35 = 21. The least possible pass mark is the lowest score that is at or above the cumulative frequency of 21. Looking at the cumulative frequency polygon, we see that this mark falls between the scores of 55.5 and 65.5, so the least possible pass mark is 55.5 marks.

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True. The rule of thirds is a photography and visual arts guideline that involves dividing an image into thirds using two horizontal lines and two vertical lines, and then placing the image's most important elements at the intersection points or along the lines.

This aids in the creation of a balanced and visually appealing composition. This results in nine rectangular areas of equal size, with four intersection points where the lines cross.

The rule of thirds principle suggests that the points of intersection or the lines themselves are ideal places to position the composition's most important elements. The resulting image is more visually balanced and pleasing to the eye as important elements are placed in these areas.

It is important that, however, that the rule of thirds is not a hard and fast rule, and that there were times when breaking it can result in more dynamic and interesting compositions. The rule of thirds is merely a tool for artists and photographers to use in order to create more effective and engaging images.

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Answer:

Only move the negative exponents. Product Rule: am ∙ an = am + n, this says that to multiply two exponents with the same base, you keep the base and add the powers. , this says that to divide two exponents with the same base, you keep the base and subtract the powers.

Answer:

Rational

Step-by-step explanation:

Its rational because it has the same numbers/pattern

You can find the answer in the image above.

Answer:

hol up

x=-1/8  negative one over eight

Step-by-step explanation:

Finally ahmod will have 4 nickels and 10 dimes.

Ahmod has two times as many dimes as nickels.

They have a combined value of 100 cents.

Group all coins in sets by grouping each nickel with 2 dimes.

Each set, containing 1 nickel and 2 dimes, is worth 5 + 2*10 = 25 cents.

You will have 100/25 = 4 such groups

As we have 4 such groups at last ahmod will have 4 nickels and 10 dimes.

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Answer:

You need "more than" 300.

Step-by-step explanation:

i did the test

Answer:

44 is not an perfect square

Answer:

44 is not a perfect square

Step-by-step explanation:

plz mark brainlyest if I am right

Answer:

Not really

Step-by-step explanation:

NOT NECESSARILY would a triangle be equilateral if one of its angles is 60 degrees. To be an equilateral triangle (a triangle in which all 3 sides have the same length), all 3 angles of the triangle would have to be 60°-angles; however, the triangle could be a 30°-60°-90° right triangle in which the side opposite the 30 degree angle is one-half as long as the hypotenuse, and the length of the side opposite the 60 degree angle is √3/2 as long as the hypotenuse. Another of possibly many examples would be a triangle with angles of 60°, 40°, and 80° which has opposite sides of lengths 2, 1.4845 (rounded to 4 decimal places), and 2.2743 (rounded to 4 decimal places), respectively, the last two of which were determined by using the Law of Sines: "In any triangle ABC, having sides of length a, b, and c, the following relationships are true: a/sin A = b/sin B = c/sin C."¹

Step-by-step explanation:

A triangle with three equal interior angles is called an equiangular triangle. In an equiangular triangle has three. equal sides, and it is the same as an equilateral triangle.

Developing strategies for remembering facts is essential for children before they engage in drill and practice activities to develop fluency. By establishing these strategies, children can effectively learn, retain, and recall information, ultimately enhancing their performance during practice sessions.

Yes, it is important for children to develop strategies for remembering facts before engaging in drills and practice to develop fluency. By doing so, children can enhance their ability to recall information more quickly and accurately, making it easier for them to perform well on tests and assignments. Strategies such as visualizing, chunking, and using mnemonic devices can help children remember information more effectively. Once these strategies are established, drill and practice can then be used to further reinforce their understanding and speed up their recall time. This approach can ultimately lead to improved academic performance and a stronger foundation for learning.

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The sum of the sequence is 4.

To determine whether the sequence {an} = 4n / (5n + 1) converges or diverges, we can use the limit test.

Taking the limit as n approaches infinity, we have:

lim(n→∞) an = lim(n→∞) 4n / (5n + 1)

Dividing both numerator and denominator by n, we get:

= lim(n→∞) 4 / (5 + 1/n)

Since 1/n approaches zero as n approaches infinity, we have:

= 4/5

Therefore, the limit of the sequence as n approaches infinity exists and is equal to 4/5.

Since the limit exists, we can say that the sequence converges. To find the sum of the sequence, we can use the formula for the sum of an infinite geometric series:

S = a1 / (1 - r)

where a1 is the first term of the sequence and r is the common ratio.

In this case, we have:

a1 = 4/6

r = 5/6

Substituting these values into the formula, we get:

S = (4/6) / (1 - 5/6)

= (4/6) / (1/6)

= 4

Therefore, the sum of the sequence is 4.

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Answer: 1.5

Step-by-step explanation:

Answer:

Commutive Property

Step-by-step explanation:

The numbers switched that's all

Answer:

Commutative property

Step-by-step explanation:

Change

Order

m

m

u

t

a

t

i

v

e

so basically you’re not changing the group ( associative ) and you’re not multiplying into the groups ( Distribuative ) so the only other option would be Commutative, and you’re changing the order of the numbers so it would be commutative.

\(\qquad \qquad\huge \underline{\boxed{\sf Answer}}\)

The Correct choice is B

\(\qquad \sf  \dashrightarrow \: y = - 2x + 5\)

dy/dx = (1/(e^(x^2)+1)) * (e^(x^2) * 2x) + e*cos(x)

This is the derivative of the given function y with respect to x.

We want to find the derivative dy/dx of the function y = ln(e^(x^2)+1) + e*sin(x). To do this, we will apply the rules of differentiation.

First, we'll differentiate the function term-by-term. For the natural logarithm function, the derivative is (1/u) * du/dx, where u is the function inside the natural logarithm. In our case, u = e^(x^2) + 1.

The derivative of e^(x^2) is found by applying the chain rule, which gives us (e^(x^2) * 2x). The derivative of 1 is 0. Therefore, the derivative of u is (e^(x^2) * 2x). Now we can find the derivative of ln(u):

d[ln(u)]/dx = (1/(e^(x^2)+1)) * (e^(x^2) * 2x)

Next, we will differentiate e*sin(x). The derivative of e*sin(x) is found by applying the product rule. The derivative of e is e, and the derivative of sin(x) is cos(x). Applying the product rule, we have:

d[e*sin(x)]/dx = e*cos(x) + e*sin(x) * 0 = e*cos(x)

Now, adding the derivatives of both terms, we get:

dy/dx = (1/(e^(x^2)+1)) * (e^(x^2) * 2x) + e*cos(x)

This is the derivative of the given function y with respect to x.

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The value of the area of the triangle ABC is 80 square units

The given dimensions of the triangle are

Base = 8 unts

Height = 20 units

Mathematically, the area of a triangle can be represented as

Area = 0.5 * Base * Height

When the given values are substituted into the above equation, we have

Area = 0.5 * 8 * 20

Evaluating the products, we have

Area = 80

Include the units

Area = 80 square units

So, the calculated area of the triangle is 80 square units

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Answer:

5x+2

Step-by-step explanation:

I think it is 5x+2

The statement "Let e be a lamina that lies below the cone between the spheres and in the first octant" describes a specific region in three-dimensional space.

The region, denoted as e, is located below the cone formed by two intersecting spheres and is confined to the first octant. This means that e exists within the space where all coordinates are positive (x > 0, y > 0, z > 0). Further details about the specific dimensions, shape, or properties of the lamina are not provided in the given statement.

A lamina is a term used in mathematics to refer to a two-dimensional object, typically with a uniform density, that lies within a specific region of three-dimensional space. In this case, the lamina denoted as e is positioned below the cone formed by the intersection of two spheres. This indicates that the lamina occupies the space between the two spheres and extends downwards. Additionally, the lamina is confined to the first octant, which means that it is restricted to the region where all coordinates (x, y, and z) are positive.

However, without further information regarding the dimensions, shape, or specific properties of the lamina, it is not possible to provide a more detailed explanation. The given statement simply defines the region in three-dimensional space where the lamina, denoted as e, is located.

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While you look behind to see how many people you beat, you are gathering information for your Competitive intelligence via the use of social comparison.

Competitive intelligence is a process of learning as much as possible outside oneself to increase one's competition level.

It tells us about our position in the competition or market .it helps in self-improvement and skill development.

Social comparison helps in determining our own worth in society.

You are gathering information for your Competitive intelligence via the use of social comparison.

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Answer:

Step-by-step explanation:

2 would have a greater b value because its x.  Also the other answer is 2.

In math, a number is multiplied by itself once to calculate its square.

In mathematics, a number can be multiplied by itself to calculate its square. This is done by multiplying the number by itself once. For example, if we want to calculate the square of 4, we can do this by multiplying 4 by itself, which gives us the result of 16. This is because 4 multiplied by 4 is equal to 16. This same process can be applied to any number, resulting in the number being multiplied by itself once to calculate its square. This is a useful process when dealing with equations, since it allows us to quickly and easily square any number.

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Answer:

its b

Step-by-step explanation:

B brainliest pls

The solution to the system of equations is x = 3/2 and y = 11/2.

What is the linear equation?

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line. An example of a linear equation is y=mx + b

We are given two equations:

y = 3x + 4

y = 7x – 2

We can set the two equations equal to each other and solve for x:

3x + 4 = 7x - 2

Subtracting 3x from both sides:

4 = 4x - 2

Adding 2 to both sides:

6 = 4x

Dividing both sides by 4:

x = 3/2

Now we can substitute this value of x back into either of the original equations to find the corresponding value of y. Using the first equation:

y = 3(3/2) + 4 = 9/2 + 4 = 11/2

Therefore, the solution to the system of equations is x = 3/2 and y = 11/2.

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Answer:

5x

Step-by-step explanation:

Answer:

-1 is the answer

Step-by-step explanation:

Answer:

-1 is the answer

Step-by-step explanation:

Hope this helps

Between 100.0 and 99.0 is the percentage level at 2008 has been improvising sg's service level.

Service SG is a department under the Public Service Division, Prime Minister’s Office. they are involved in integrating the delivery of services across public agencies, to serve citizens better, and in a more citizen centric manner , it  also builds deeper service delivery capabilities within the Public Service to raise overall service standards.   know, and serve the  citizens in society  with heart, as One Public Service SG is a department  which is under the Public Service Division, Prime Minister’s Office department . who seeks the attention to integrate the delivery of services across the  public agencies of a government polices , to serve citizens better of society , and in a more citizen centric manner. Service SG also builds  the deeper service of  delivery capabilities within the Public Service to raise overall service standards among society from generations to generations.

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Answer:

Service SG is a department under the Public Service Division, Prime Minister’s Office. they are involved in integrating the delivery of services across public agencies, to serve citizens better, and in a more citizen centric manner , it  also builds deeper service delivery capabilities within the Public Service to raise overall service standards.   know, and serve the  citizens in society  with heart, as One Public Service SG is a department  which is under the Public Service Division, Prime Minister’s Office department . who seeks the attention to integrate the delivery of services across the  public agencies of a government polices , to serve citizens better of society , and in a more citizen centric manner. Service SG also builds  the deeper service of  delivery capabilities within the Public Service to raise overall service standards among society from generations to generations.

Step-by-step explanation:

Answer:

$15,539.67

Step-by-step explanation:

Compound Interest Formula

\(\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}\)

where:

Given:

Substitute the given values into the formula and solve for A:

\(\implies \sf A=11000\left(1+\frac{0.058}{4}\right)^{(4 \times 6)}\)

\(\implies \sf A=11000(1.0145)^{24}\)

\(\implies \sf A=15539.67451...\)

Therefore, the value of the investment after 6 years will be $15,539.67 to the nearest cent.

The rational numbers are represented by P, Q, R, and S is mathematically given as

This is further explained below.

We make use of the idea of a number line, which displays the actual numbers in ascending order from left to right and from left to right to left.

One unit represents the distance between point U and point T.

It is separated into three sections that are all the same size.

Generally, the equation for TR is mathematically given as

TR = RS = SU

Therefore

TR = RS = SU = 1/3

\(R = -1 - (1/3)\\ R= -4/3\\\\S = -1 - (2/3) \\S= -5/3\)

Considering the value of P

\(P = 2 + 1/3 = 6/3 + 1/3\)

P= 7/3

Considering the value of Q

\(Q = 2 + 2/3 = 6/3 + 2/3\)

Q = 8/3

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