Brian invests £4700 into his bank account.
He receives 5.5% per year compound interest.
How much will Brian have after 3 years?
Give your answer to the nearest penny where appropriate.

The graph of the function y = 5|x - 4| is added as an attachment

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

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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The probability that an employee posted to country A at age 30 will survive to age 40 if she remains in that country is 2 x 10⁻⁶³

Probability is a mathematical concept that describes the likelihood of a specific event occurring within a set of possible outcomes

Let's start by defining some terms. The force of mortality, also known as the death rate, is the number of deaths per unit time per unit of population.

The probability of survival is the chance that an individual will live past a certain age. In our case, we want to know the probability of surviving from age 30 to age 40 while living in country A.

To calculate the probability of survival, we will use the formula:

\(P(x) = e^{-qx}\)

Where P(x) is the probability of survival at age x and qx is the force of mortality at age x.

First, we will calculate the force of mortality for the first five years after arrival in country A using the equation given in the question:

90x+1 = (6 - 1)9x+1

For x = 30, we have:

90(30) + 1 = (6 - 1)9(30) + 1

2701 = 5 * 891 + 1

2701 = 4445 + 1

2700 = 4445

So, q30 = 4445/30 = 148.5

Next, we will use this value to calculate the probability of survival for the first five years in country A:

\(P30 = e^{-q3} = e^{-148.5} = 1.2 \times 10^{-64}\)

Since the force of mortality for those who have lived in country A for at least five years is 50% greater than the US Life Tables, 2002, Females, we can calculate the force of mortality for the next 10 years as follows:

qx = 1.5 x qx from US Life Tables

Using the values from Table 3.11, we have:

q31 = 1.5 x 98,424 = 147,636

q32 = 1.5 x 98,362 = 147,543

q33 = 1.5 x 98,296 = 147,444

q34 = 1.5 x 98,225 = 147,338

q35 = 1.5 x 98,148 = 147,222

q40 = 1.5 x 97,500 = 146,250

Finally, we can use these values to calculate the probability of survival from age 31 to age 40:

\(P31 = e^{-q31} = e^{-147,636} = 1.3 \times 10^{-65}\\ \\P32 = e^{-q32} = e^{-147,543} = 1.4 \times 10^{-66}\\\\P33 = e^{-q33} = e^{-147,444} = 1.5 \times 10^{-67}\\\\P34 = e^{-q34} = e^{-147,338} = 1.6 \times 10^{-68}\\\\P35 = e^{-q35} = e^{-147,222} = 1.7 \times 10^{-69}\\\\P40 = e^{-q40} = e^{-146,250} = 2.0 \times 10^{-63)}\\\\\)

Complete Question:

When posted overseas to country A at age x, the employees of a large company are subject to a force of mortality such that, at exact duration t years after arrival overseas (t = 0,1,2,3,4), 90x+1 = (6 - 1)9x+1 where qx+t is on the basis of US Life Tables, 2002, Females. For those who have lived in country A for at least five years the force of mortality at each age is 50% greater than that of US Life Tables, 2002, Females, at the same age. Some lx values for this table are shown in Table 3.11.

An extract from the United States Life Tables, 2002,

Females. Age,

x 30 31 32 33 34 35 40

1x 98,424 98,362 98,296 98,225 98,148 98,064  97,500

Calculate the probability that an employee posted to country A at age 30 will survive to age 40 if she remains in that country.

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Answer:

63

Step-by-step explanation:

The probability that Bela and Jenn pick the same part is; 0.006944

In maps, it is pertinent to note that parallels are the lines that run from east to west and never intersect with each other while meridians run from north to south and intersect at the north and south poles.

Now, since bella's globe has 12 parallels and 12 great meridians, then it means that the total number of parts in this globe will be 12 * 12 = 144 parts.

Thus, probability that they both pick the same part is;

P(same part picked) = (12/144) * (12/144)

= 0.006944

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Answer:

99% confidence interval for the proportion of all customers in Tacoma, Washington, who prefer boot-cut jeans is [0.225 , 0.405].

Step-by-step explanation:

We are given that a marketing researcher examined sales receipts for a random sample of 178 customers who purchased jeans from the firm’s Tacoma store. 56 of the customers in the sample purchased boot-cut jeans.

Firstly, the Pivotal quantity for 99% confidence interval for the population proportion is given by;

                           P.Q. =  \(\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }\)  ~ N(0,1)

where, \(\hat p\) = sample proportion of customers who purchased boot-cut jeans = \(\frac{56}{178}\) = 0.315

           n = sample of customers = 178

           p = population proportion of customers who prefer boot-cut jeans

Here for constructing 99% confidence interval we have used One-sample z test for proportions.

So, 99% confidence interval for the population proportion, p is ;

P(-2.58 < N(0,1) < 2.58) = 0.99  {As the critical value of z at 0.5% level

                                                 of significance are -2.58 & 2.58}  

P(-2.58 < \(\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }\) < 2.58) = 0.99

P( \(-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }\) < \({\hat p-p}\) < \(2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }\) ) = 0.99

P( \(\hat p-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }\) < p < \(\hat p+2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }\) ) = 0.99

99% confidence interval for p = [ \(\hat p-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }\), \(\hat p+2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }\)]

    = [ \(0.315-2.58 \times {\sqrt{\frac{0.315(1-0.315)}{178} } }\) , \(0.315+2.58 \times {\sqrt{\frac{0.315(1-0.315)}{178} } }\) ]

    = [0.225 , 0.405]

Therefore, 99% confidence interval for the proportion of all customers in Tacoma, Washington, who prefer boot-cut jeans is [0.225 , 0.405].

The interpretation of the above confidence interval is that we are 99% confident that the proportion of all customers in Tacoma, Washington, who prefer boot-cut jeans will lie between 0.225 and 0.405.

Answer:

x(^9 radicand y^2)

Last option

Answer: - 21/10

Step-by-step explanation:

The coefficients of the non-trivial linear relation are -3, 3, 0, and 0.

To determine whether the four vectors are linearly independent or linearly dependent, we can form a matrix with the vectors as columns and perform row operations to reduce it to row echelon form. If the resulting matrix has a row of zeros except for the last entry, which is non-zero, then the vectors are linearly dependent. If the resulting matrix has only zero rows, then the vectors are linearly independent.

| -27 3 3 -3 |

| 16 -3 -2 1 |

| 23 -4 -2 3 |

| -20 -2 2 -4 |

After row operations, we get:

| 1 3 0 0 |

| 0 0 1 0 |

| 0 0 0 1 |

| 0 0 0 0 |

Since the last row is all zeros except for the last entry, which is non-zero, the vectors are linearly dependent. A non-trivial linear relation is:

⇒-3(1st vector) + 3(2nd vector) + 0(3rd vector) + 0(4th vector) = 0

So, the coefficients of the non-trivial linear relation are -3, 3, 0, and 0.

Therefore,  the coefficients of the non-trivial linear relation are -3, 3, 0, and 0.

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Answer: 49.

It's 49 minutes

Step-by-step explanation:

I don't feel like explaining. It's 49 minutes.

bh = 64

2bh = 128

Answer:

Option (2)

Step-by-step explanation:

Given:

∠1 ≅ ∠3

To Prove:

∠AXD ≅ ∠CXB

Solution:

Given question is incomplete; find the complete question in the attachment.

            Statements                                                              Reasons

1). m∠1 ≅ m∠3 because m∠1 ≅ m∠3          1). Given

2). m∠1 + m∠2 = m∠CXB and                    

    m∠2 + m∠3 = m∠AXD                            2). Angle addition postulate

3). m∠1 + m∠2 = m∠AXD                             3). Because you can substitute

                                                                          m∠1 for m∠3

4). m∠CXB = m∠AXD                                   4).Transitive property of equality

5). ∠AXD ≅ ∠CXB

Therefore, Option (2) will be the correct option.

Answer:

5/12

Step-by-step explanation:

a foot =12 inches

fraction of 5 inches=5/12

Answer:

I belive the correct answers are 8 and 12

Step-by-step explanation:

Answer:

Line CD

Step-by-step explanation:

Because it makes a right angle

CD

Step-by-step explanation:

See there is right angles mark on the intersection point of CD and GH.

Perpendicular means bisected at 90°.

Right angle is also 90°

Hence

\(\\ \sf\dashrightarrow CD\underline{|}GH\)

Done

Siama and Wills used different methods to find the differences between (5x + 6x) and (2x - 1) but they both arrived at the same answer.

I prefer Wills method because it is easier and less complicated.

Wills method:

(5x + 6x) - (2x - 1)

Subtract both 2x and -1

5x + 6x - 2x - - 1

5x + 4x + 1

In conclusion, Wills method is preferred when both methods are compared.

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Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.

To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.

First, let's simplify the equation:

2^x - 2 = 8^4

We know that 8 can be expressed as 2^3, so we can rewrite the equation as:

2^x - 2 = (2^3)^4

Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:

2^x - 2 = 2^(34)

Simplifying the right side of the equation:

2^x - 2 = 2^12

Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:

x = 12

Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.

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Median of the late trains in a day = 10

What in mathematics is a linear equation?

From the given diagram , we have

Number of trains late on day 1 = 1 + 2 + 3+ 4 + 5 + 6 + 7 + 8 +9 = 30

Number of trains late on day 2 = 1 + 2 + 3+ 4 + 5 = 15

Number of trains late on day  3 = 2 + 3 = 5

Number of trains late on day 4 = 2

Arranging the above data in accending order we get

 2,5,15, 30

as number of observation is even

So, median = mean of two middle numbers

                = 5 + 15/2   = 20/2 = 10

Therefore, median of the late trains in a day = 10

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Hence the correct option is to translate down 2 unit

Transformations can be non-rigid (when the preimage's size or shape is unaltered) or stiff (where the size is changed but the shape remains the same). These are the fundamental guidelines that this concept abides by. It is a straightforward approach to alter 2D forms.

Planar transformations and spaces can be distinguished from one another using the dimensions of the operand sets.

We have the parent function f(X)= x

and transformed function is g(x)= -3f(x+5)-2

the parent function f(x) is translated dawn 2 units and stretched by 5 .

Hence the correct option is to translate down 2 unit

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Answer:

Percent of increase in weight = 33.33% Approx.

Step-by-step explanation:

Given:

Old weight = 60 pound

New weight = 80 pound

Find:

Percent of increase in weight

Computation:

Percent of increase in weight = [(New weight - old weight)/Old weight]100

Percent of increase in weight = [(80 - 60)/60]100

Percent of increase in weight = [(20)/60]100

Percent of increase in weight = 33.33% Approx.

Answer

If its times then its 48 if its divide then its 1.3 if its adding then its 14, if its subtract then its 2

Step-by-step explanation:

Use a calculator

Answer:

24

Step-by-step explanation:

Answer:

idrk maybe try using a different app if you don't get answers

Answer:

y = csc(x) does not have any zero.

Step-by-step explanation:

If we have:

y = f(x)

a zero of that function would be a value x' such that:

y = f(x') = 0

Here we basically want to solve:

y = csc(x) = 0

First, remember that:

csc(x) = 1/sin(x)

now, the values of sin(x) range from -1 to 1.

So we want to solve:

1/sin(x) = 0

notice that a fraction:

a/b = 0

only if a = 0.

Then is easy to see that for our equation:

1/sin(x) = 0

The numerator is different than zero, then the equation never will be equal to zero.

Then:

y = csc(x) = 1/sin(x)

Does not have a zero.

Answer:

C

Step-by-step explanation:

Anything less than 5 rounds down while 5 and anything more rounds up. Therefore...

15.3 rounds to 15

7.9 rounds to 8

7.4 rounds to 7

So, his answer is reasonable.

Answer:

I think it i a and c

Step-by-step explanation:

because the numbers make the most sense

The author of the review is disappointed with the meatball sub casserole recipe posted on Recipe Masters, which did not turn out well despite following the recipe.

The author recommends that others should not attempt to make the recipe and believes that Recipe Masters should ensure that their posted recipes are reliable and thoroughly tested. The author also implies that the quality of the recipes on Recipe Masters is not as advertised, which could potentially lead subscribers to lose faith in the service and seek out free recipe sites instead.

Therefore, a suitable summary of the author's point of view would be: The author is dissatisfied with the meatball sub casserole recipe on Recipe Masters, which did not work out well and believes that Recipe Masters should provide reliable, thoroughly tested recipes as advertised.

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Answer : 0.99

Explanation :  15 * 6.6/100 For The Tax.

Total : 15.99

Answer:

okay i'll keep this in mind

Step-by-step explanation:

The value of the function when x = 2 from the graph is 0

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

The function that is graphed on the coordinate plane.

The value of the function when x = 2 implies that we calculate the value of y when x = 2

On the graph, we have the following ordered pair

(2, 0)

This means that the value of the function when x = 2 is 0

Hence, the function value at x = 2 is 0

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We have

1.8 dm to centimters it is 18 cm

Then for the area we will use

a is the side and h is the height

a=18 cm

h=14 cm

we substitute

ANSWER

a)252 cm²

Answer:

10 milligrams

Step-by-step explanation:

Answer:

1 milligrams

milligrams