Devon is considering taking out a 75000 loan for a 15 year period. How many monthly payments he has to make for the life of the loan?

Half-life of a substance is found by the next equation:

where:

N(t) is the quantity of the substance remaining

N0 is the initial quantity of the substance

t is the time elapsed

t0.5 is the half-life

Replacing with t = 42, N(t) = 0.25 and N0 = 2, we get:

The total amount Rob will have £574.20 in his account after 3 years.

Taking into account the compound interest, is:

A = P * (1 + r/n)^(nt)

Where:

A is the final amount

P is the initial principal (£500)

r is the annual interest rate (5%)

n is the number of times that interest is compounded per year (often assumed to be 12)

t is the number of years (3)

Plugging in the values, we get:

A = £500 * (1 + 0.05/12)^(12 * 3)

A = £500 * (1.004167)^(36)

A = £500 * 1.1484

A = £574.20

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Answer:

x = √2

Step-by-step explanation:

Here, we want to get the value of x

As we can see, what we have is a right triangle

x faces the angle 30 which makes it the opposite to that angle

the root of 6 is the adjacent to the angle 30

Mathematically, the ratio of the opposite to the adjacent is the tan

Thus;

Tan 30 = x/√6

Tan 30 = 1/√6

1/√3 = x/√6

x = √6/√3

x = √(6/3)

x = √2

The dot plot has 43 dots.

The dot plot has 10 dots to the left of the center and 1 dot to the right of the center.

The center of the data set is 6.

This can be solved using the concept of dot plot.

For relatively small data sets with values falling into a handful of discrete bins, a dot plot, also known as a dot chart, is a sort of straightforward histogram-like display used in statistics. To create a dot plot, count the data points that fall into each bin and then draw a stack of dots that is that many dots high for each bin. The form and distribution of sample data may be seen using dot plots, which are particularly helpful when comparing frequency distributions. The frequency distribution of a dataset shows how frequently certain values occur. Dot plots display the same kinds of data as histograms.

From the given figure it is clear that 1 has 6 dots, 2 has 5 dots, 3 has 4 dots, 4 has 2 dots, 5 has 3 dots, and 6 has 2 dots. It means the data set is:

1,6,2,5,3,4,4,2,5,3,6,2

Total number of observations = 43

The dot plot has 43 dots.

Median:

43 is an odd number, so the median of the data is:

Median = {(n+1)/2} / 2

Median = 11

The 11th term of the data is 6, therefore the median of the data is 6.

The dot plot has 10 dots to the left of the center and 1 dot to the right of the center.

The center of the data set is 6.

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Answer:

3 candy bars for 0.30

Step-by-step explanation:

The same amount of bars for less is the better buy

Answer:

3 candy bars for $0.30 each is the better buy

Step-by-step explanation:

We must do the math to find out how much 3 candy bars will cost for 30 cents each.

0.30 x 3 = 0.90

Therefore, three candy bars cost 90 cents. 90 cents is less than a dollar and 50 cents. Therefore, the 3 candy bars for $0.30 each is the better deal.

7.0% is the maturity yield. It is computed by taking into account the present value of the bond's future cash flows, the face value, and the current market price.

A bond's yield to maturity is a measure of the expected return on investment. It takes into account the bond's face value as well as the current market price and future cash flows. In this case, the bond has a 10-year maturity period, a 3% coupon rate, annual payments, and a $1,000 face value. If it is currently trading at $901, the can be calculated. To begin, we must compute the present value of the bond's future cash flows, which include coupon and principal payments. The YTM is used in this case. The in this case is 7.0%, implying that an investor will earn a 7.0% return.

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Answer:

half

Step-by-step explanation:

Answer:

1/2 of the mango or half

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

a=9

7a

7(9)

63

Given:

The two shapes P and Q on a coordinate plan.

To find:

(a) The area of shape P.

(b) Mathematical name of quadrilateral Q.

Solution:

(a)

From the given figure, it is clear that shape P is a triangle.

Area of a triangle is

\(A=\dfrac{1}{2}\times Base\times Height\)

Area of triangle P whose base is 4 and height is 6, is

\(A=\dfrac{1}{2}\times 4\times 6\)

\(A=\dfrac{24}{2}\)

\(A=12\)

So, the area of shape P is 12 sq. units.

(b)

In quadrilateral Q, two pairs of congruent sides are adjacent to each other.

So, Q is a kite.

Therefore, the mathematical name of quadrilateral Q is kite.

Answer:

Step-by-step explanation:

Given:

The two shapes P and Q on a coordinate plan.

To find:

(a) The area of shape P.

(b) Mathematical name of quadrilateral Q.

Solution:

(a)

From the given figure, it is clear that shape P is a triangle.

Area of a triangle is

Area of triangle P whose base is 4 and height is 6, is

So, the area of shape P is 12 sq. units.

(b)

In quadrilateral Q, two pairs of congruent sides are adjacent to each other.

So, Q is a kite.

Therefore, the mathematical name of quadrilateral Q is kite.

We know that (D) 3xy is the factor of the given equation (x+y)³-(x³+y³) using the algebraic identity.

An identity element, also known as a neutral element, in a binary operation on a set is a set element that, when the operation is applied, leaves each element of the set untouched.

In algebraic structures like groups and rings, this idea is applied.

The left side of the equation equals the right side of the equation in an algebraic identity.

As an illustration, (a+b)2 = a2+2ab+b2 is true for all values of and b.

So, we have the equation:

(x + y)³ - (x³ + y³)

Now, get factors as follows:
Use the algebraic identity: (a + b)³ = a³ + b³ + 3ab (a + b)

x³ + y³ + 3xy (x + y) - x³ - y³

Simplify one more step to obtain:
3xy (x + y)

Therefore, we know that (D) 3xy is the factor of the given equation (x+y)³-(x³+y³) using the algebraic identity.

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Correct question:

Which of the following is a factor of (x + y)3 - (x3 + y3 )

a. x² + y² + 2xy

b. x² + y² - xy

c. xy²

d. 3xy

Answer:

Step-by-step explanation:

You want the end behavior and the sign of the function y = -3/5(5/7)^x.

This is an exponential function, so it will tend toward 0 in one direction and toward infinity in the other direction. The sign of the infinity will match the sign of the multiplier. The base of the exponent here is less than 1, so the tendency toward 0 will occur for positive values of x.

  y → -∞ as x → -∞

  y → 0 as x → +∞

  y < 0 for all x . . . (y is negative)

Answer:

767

Step-by-step explanation:

Answer:

3.13333333333

Step-by-step explanation:

It is a recurring so u could write it as 3.13 with a dot on top of the last three hope it helps :D

Answer:

94-(2x12)/14=s

..............

Answer:

5. x=80°, y= 80°

Step-by-step explanation:

5.x=80 (Vertically opposite angle V.O.A)

y=80 (alternate angle)

The Normal distribution is symmetric and ranges from negative to positive infinity, while the Log-normal distribution is skewed and only takes positive values. To select the better fit for data, consider characteristics (positivity and skewness favor Log-normal, symmetry favors Normal), hypothesis testing, visualization, and statistical tests.

Let's analyze each section separately:
a) The major differences between the Normal and Log-normal distributions are:

Normal Distribution: The Normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution that is defined by its mean (μ) and standard deviation (σ). It follows a bell-shaped curve and is often used to model naturally occurring phenomena. The range of values extends from negative infinity to positive infinity.

Log-normal Distribution: The Log-normal distribution is a skewed probability distribution that arises when the logarithm of a random variable follows a normal distribution. It is characterized by its parameters mu (μ) and sigma (σ) of the underlying normal distribution. Unlike the Normal distribution, the Log-normal distribution only takes positive values.

b) Selecting which distribution fits the data better depends on the nature of the data and the research question at hand. Here are a few considerations:

1. Data Characteristics: If the data consists of positive values and the distribution appears to be skewed, the Log-normal distribution might be more appropriate. On the other hand, if the data is symmetric and unbounded, the Normal distribution may be a better fit.

2. Hypothesis Testing: If you have a specific hypothesis to test or a theoretical justification for choosing one distribution over the other, it is advisable to use that distribution.

3. Visualization: Plotting the data and comparing it to the shapes of the Normal and Log-normal distributions can provide visual insights into which distribution aligns better with the data.

4. Statistical Tests: Statistical tests such as the Kolmogorov-Smirnov test or the Anderson-Darling test can be used to assess the goodness-of-fit for each distribution and determine which one provides a better fit to the data.

In summary, selecting the appropriate distribution involves considering the characteristics of the data, the research question, and statistical tests. Visualization and hypothesis testing can further aid in determining the best fit distribution.

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Answer:

D.Function

Step-by-step explanation:

When each input value has one and only one output value, that relation is a function. Functions can be written as ordered pairs, tables, or graphs. The set of input values is called the domain, and the set of output values is called the range.

Answer:

sdsdsdsdsdsd

Step-sdsdsdsdsd-step explanation:

Answer:

I think its 11

Step-by-step explanation:

Answer:

20 the answer is 20 because you plug in 4 for n.

The probability function is a mathematical concept that maps the probability of an event to a certain value.

It is often used to model the likelihood of an event occurring, based on certain conditions or variables. The probability function can take on many different forms, depending on the nature of the problem being studied.

One important tool in probability theory is the counting rule for combinations. This rule allows us to calculate the number of possible combinations of items from a larger set, given certain constraints.

For example, we might want to know how many ways there are to choose three different objects from a set of five, without regard to order. The counting rule for combinations is based on the idea that the order in which objects are chosen doesn't matter.

Therefore, we can calculate the number of combinations by dividing the total number of possible permutations by the number of ways that the objects can be ordered.

This leads to the formula nCr = n/ r * (n-r), where n is the total number of objects, r is the number of objects being chosen, and ! represents the factorial function.

The probability function can make use of the counting rule for combinations in various ways, depending on the nature of the problem being studied.

For example, in the case of a discrete probability distribution, the function might assign probabilities to different outcomes based on the number of combinations that lead to each outcome.

This can be especially useful in situations where the outcomes are not equally likely, or where there are different levels of uncertainty or randomness involved.

Overall, the counting rule for combinations provides an important tool for calculating probabilities in many different contexts. By understanding the relationship between combinations and probability,

we can better understand the underlying structure of many different types of problems in statistics, mathematics, and other fields.

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The difference in perimeter between Rory's castle and Mike's castle is 16 feet. Rory's castle has a perimeter of 52 feet (10 feet + 10 feet + 16 feet + 16 feet), and Mike's castle has a perimeter of 24 feet (6 feet + 6 feet + 6 feet + 6 feet).

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The difference between the perimeters of these two castles is 28 ft.

Rory’s castle measures 10 feet by 16 feet and has a perimeter of 52 ft and Mike’s castle is 6 feet by 6 feet. Now, we are going to find the difference between the perimeters of these two castles.

The perimeter of a rectangle can be found by adding all the sides of a rectangle. Therefore, the formula of the perimeter of a rectangle is:

Perimeter of a rectangle = 2 × (Length + Breadth)

Length of Rory’s castle = 16 ft,       Breadth of Rory’s castle = 10 ft

Perimeter of Rory’s castle = 2 × (Length + Breadth) = 2 × (16 + 10) ft

= 2 × 26 ft= 52 ft

Therefore, the perimeter of Rory’s castle is 52 ft.

Length of Mike’s castle = 6 ft,         Breadth of Mike’s castle = 6 ft

Perimeter of Mike’s castle = 2 × (Length + Breadth) = 2 × (6 + 6) ft

= 2 × 12 ft = 24 ft

Therefore, the perimeter of Mike’s castle is 24 ft.

.Difference between the perimeters of these two castles= Perimeter of Rory’s castle − Perimeter of Mike’s castle

= 52 − 24= 28 ft

Therefore, the difference between the perimeters of these two castles is 28 ft.

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Answer:

Either this is not a right triangle or one of the side has the wrong measurement.

Step-by-step explanation:

This is either not a right triangle or one of the measurements is off

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)  

\(5^{2}\) + \(12^{2}\) = \(14^{2}\)

25 + 144 = 196  

169 ≠196

Answer:

-------------------------

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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Answer:

125 cm

Step-by-step explanation:

meter to cm, times 100.

1.25 m x (\(\frac{100cm}{1m}\)) = 125 cm

Answer:

$28

Step-by-step explanation:

80% means 80/100

Of means multiplication

So, 80% of $35

= 80/100 X 35

= 0.8 X 35

= 28