An investor needs to deposit an amount on 1 January 2020 to purchase an annuity to receive a series of payment on a regular basis. He has two options as follows Annuity A - Gets RM 2500 semiannually for 4 years, that are 8 payments. - 1 st payment of RM 2500 is due on 1 April 2020. - The interest rate is at 8% compounded semiannually. Annuity B - Gets RM 1300 quarterly for 4 years, that are 16 payments. - 1 st payment of RM1300 is due on 1 January 2020. - The interest rate is at 10% compounded quarterly. a)What are the present values for each annuity A and Annuity B on 1 January 2020?

Answer:

Have u done it

Step-by-step explanation:

The system is stable since the magnitude of its impulse response is 0.25, which is a finite number that is less than any M.

The stability of a linear system can be determined by analyzing the magnitude of its impulse response −

|h[n]| ≤ M for some finite M

In this case, the impulse response is h[n] = 0.25nu[n], where nu[n] is the unit step function. Since the magnitude of h[n] is 0.25 for all n, the system is stable since 0.25 is a finite number that is less than any M.

To summarize, the system is stable since the magnitude of its impulse response is 0.25, which is a finite number that is less than any M.

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Answer:

Cumulative Frequency:

The sum of all the frequencies for all classes is equal to the number of elements in the given data and that summation is termed as the cumulative frequency which defines the number of entries of that statistical data.

The sum of relative frequencies is also equal to one, since the sum of all fractional parts must equal the whole.

Step-by-step explanation:

Step-by-step explanation:

Step 1:  Add 13x to both sides

\(x^2 + 13x = -13x + 13x - 4\)

\(x^2 + 13x = -4\)

Step 2:  Add 4 to both sides

\(x^2 + 13x + 4 = -4 + 4\)

\(x^2 + 13x + 4\)

Step 3:  Use Quadratic Formula

\(x = \frac{ -b \pm \sqrt{ b^2 - 4ac } }{2a}\)

\(x = \frac{ -(13) \pm \sqrt{ 13^2 - 4(1)(4)} } { 2(1)}\)

\(x = \frac{-13 \pm \sqrt{153}}{2}\)

\(x = \frac{-13\pm3\sqrt{17} }{2}\)

Answer:  \(x = \frac{-13\pm3\sqrt{17} }{2}\)

Answer:

-0.3 and - 12.7

Step-by-step explanation:

Rewrite in quadratic form:

x2 + 13x + 4 = 0

The best approximations, given the options, are 0 and - 13

The actual solution is -

Answer:

We can write a proportion from this image:

x/2 = (x+2)/3

3x=2(x+2)

3x=2x+4

x=4

Let me know if this helps!

Answer:

60% decrease in area

Step-by-step explanation:

12 x5 == 60 sq feet (original area)

9 x 4 == 36 sq feet (new area)

36/60 = 6/10 = 60%

Answer:

27.4%

Step-by-step explanation:

Step one:

given

original cost $69

seling price $52

Required

The percent reduction

Step two:

% reduction= change in price/original price*100

% reduction= 69-52/62*100

% reduction=17/62*100

% reduction= 0.274*100

% reduction= 27.4%

It is true that the existence of two local maxima does not guarantee the presence of a local minimum. It is possible for a function to have multiple local maxima and no local minimum.

For example, consider the function f(x,y) = x^4 - 4x^2 + y^2. This function has two local maxima at (2,0) and (-2,0), but no local minimum. Therefore, the statement "if f(x,y) has two local maximal, then f must have a local minimum" is false. The presence or absence of local maxima and minima depends on the behavior of the function in the immediate vicinity of a point, and cannot be determined solely based on the number of local maxima. It is possible for a function to have an infinite number of local maxima and minima, or none at all. Therefore, it is important to carefully analyze the behavior of a function in order to determine the presence or absence of local extrema.

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Answer:

6.28km

Step-by-step explanation:

Hey,

We know that the circumfrence is the perimetert of a full circle. If we want to find the perimeter of a semicircle all we have to do is find the circumfrence and then divide it by 2 since we want to know the perimeter of half the circle.

Circumfrence is equal to 2πr. Where r is the radius and since we know the radius we an solve for the circumfrence.

2(π)(1km)=2kmπ.

The problem tells us to use 3.14 for pi so let's multiply 2 by 3.14.

6.28km is the answer!

Answer: 4^9

Step-by-step explanation:

If you are multiplying exponents with the same base, you can just add up the exponents together

In the one-way ANOVA, the within-groups variance estimate is equivalent to the within-cells variance estimate in the two-way ANOVA.

Option B is right choice.

In the one-way ANOVA, the within-groups variance estimate is equivalent to the within-cells variance estimate in the two-way ANOVA.

This is because both types of variance estimates measure the variation within groups or cells of the independent variable(s).
In a one-way ANOVA, the independent variable has only one factor or level, and the within-groups variance estimate measures the variation within each group or level of the factor.

This estimate reflects the extent to which the data points within each group deviate from the group mean.
In a two-way ANOVA, there are two independent variables or factors, and the within-cells variance estimate measures the variation within each combination of levels of the two factors.

This estimate reflects the extent to which the data points within each cell (or combination of factor levels) deviate from the mean of that cell.
Therefore, the within-cells variance estimate in the two-way ANOVA plays a similar role as the within-groups variance estimate in the one-way ANOVA.

Both estimates reflect the degree of variability within the groups or cells of the independent variable(s) and both are used to calculate the F-statistic and determine the statistical significance of the effects of the independent variable(s) on the dependent variable.

Option B is right choice.

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Answer:

-7, 14, 21, and 42

Step-by-step explanation:

7•-1=-7

7•2=14

7•3=21

7•6=42

Answer:

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Step-by-step explanation:

Answer:

The third one, C

Step-by-step explanation:

Slope x is not negative it's a positive slope, therefore the line goes up, not down. It's also because -3 is the y-intercept (a point where it first touches the y axis)

Hoped this helped!

Answer:

I believe its A, correct me if i'm wrong.

Step-by-step explanation:

A hypothesis test involves a comparison between research results from a sample and a hypothesis about a population.

Thus, option (A) is correct.

In hypothesis testing, a researcher starts with a null hypothesis, which represents the assumption of no difference or no effect in the population.

The researcher collects data from a sample and performs statistical analysis to determine whether the evidence supports or rejects the null hypothesis in favor of an alternative hypothesis.

The research results obtained from the sample are compared to the hypothesis about the population to determine whether there is enough evidence to reject the null hypothesis and accept the alternative hypothesis.

Thus, option (A) is correct

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Maximum number of bracelets Tara can make is 6.

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

Given that;

Tara has a plastic string that is 3 3/4 feet.

And, She will cut the string to make bracelets that are each 5/8 feet long.

Now,

To find maximum number of bracelets Tara can make, we can draw the point at equal distance 5/8 feet to reach 15/4 feet.

Then, Calculate the number of points to draw which is equal to the maximum number of bracelets Tara can make.

That is,

Maximum number of bracelets Tara can make = 15/4 ÷ 5/8

                                                                        = 15/4 × 8/5

                                                                        = 6

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The ordered pairs for the system of equations f(x) = x^2 -2x + 3 and f(x) = -2x + 12 are (3, 6) and (-3, 18)

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0)

f(x) = x^2 -2x +3 and f(x) = -2x + 12

which means

x^2 -2x +3  = -2x + 12

x^2 -2x +3  + 2x - 12 = 0

x^2 -9 = 0

by factorizing we have

(x-3)(x+3) = 0

x = 3 or -3

when x = 3

f(x) = -2x + 12

f(3) = -2(3) + 12 which is 6

when x = -3

f(-3) = -2(-3) + 12 which is 18

ordered pairs are (3, 6) and (-3, 18)

In conclusion, (3, 6) and (-3, 18) are the ordered pairs

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I think U gave an incorrect question

The estimate of the given function is determined as  ∫(2 to 0) f(x) dx ≥ 14.67.

option A.

The estimate of the function is calculated as follows;

The given inequality function;

(2 + 4x²) ≤ f(x)

The integral function;

∫(2 to 0) f(x) dx

The derivative of the function is calculated as follows;

f'(x) = [2x + 4x³/3] (2 to 0)

Substitute the limits to find the definite integral;

f'(2) = (2 x 2) + 4 (2³) / 3

f'(2) = 14.67

f'(0) = 0

f'(2) - f'(0) = 14.67

Based on the given function, the estimate of the f(x) dx is;

∫(2 to 0) f(x) dx ≥ 14.67

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The surface area of the composite figure is 444m²

Given a composite figure which is shown in the question.

The  area of ​​a shape (in square units) is the number of unit squares required to cover the entire area without gaps or overlaps. If a hologram has planes, those faces are called faces. Area is the sum of the areas of the faces.

Firstly, we will find the area of front and end triangles by using the formula

Area=(1/2)×b×h and we will multiply this area by 2 because we are finding the area of two same triangles.

Here, h=6 and b=16 and substitute these values in the formula, we get

A₁=2×(1/2)×16×6

A₁=2×8×6

A₁=96m²

Now, we will find the area of the left and right side rectangles which joined both the triangles.

We will find the area by using the formula Area=l×b and we will multiply this area by 2 because we are finding the area of two same rectangles.

here, l=10 and b=5 and substitute these values in the formula, we get

A₂=2×10×5

A₂=100m²

Further, we will find the area of the front and end side rectangles that joined both by the base of the triangles.

We will find the area by using the formula Area=l×b and we will multiply this area by 2 because we are finding the area of two same rectangles.

here, l=16 and b=4 and substitute these values in the formula, we get

A₃=2×16×4

A₃=128m²

Furthermore,  we will find the area of the left and right side rectangles which joined by the front and end rectangles.

We will find the area by using the formula Area=l×b and we will multiply this area by 2 because we are finding the area of two same rectangles.

here, l=4 and b=5 and substitute these values in the formula, we get

A₄=2×4×5

A₄=40m²

Now, we will find the area of the base of the composite figure which is rectangle.

We will find the area by using the formula Area=l×b.

here, l=16 and b=5 and substitute these values in the formula, we get

A₅=16×5

A₅=80m²

So, the surface area of the given composite figure will be

Surface area=A₁+A₂+A₃+A₄+A₅

Surface area=96m²+100m²+128m²+40m²+80m²

Surface area=444m²

Hence, the surface area of the given composite figure is 444m².

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Answer:

6%

Step-by-step explanation:

The average rate is approximately 2%

The formula for calculating the average rate of return under continuous compounding is expressed as \(A=Pe^{rt\)

Given the following parameters

\(P = \$50,000\)

A = $175,222.57

t = 20 years

Substitute the given parameters into the formula to get the rat\(175,222.57 = 5000e^{20r}\\e^{20r}=\frac{175,222.57.}{5000}\\e^{20r}= 35.155514\\lne^{2r}=ln 35.155514\\2r = 3.5597\\r = 3.5597/2\\r =1.779 \%\)

Hence the average rate is approximately 2%

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Answer:

15956

Step-by-step explanation:

i think this should be the answer are you learning about phrases

if you are then and is addition but if you are not then try to multipy the 15

Answer: The answer would be A or $1

Step-by-step explanation:

$9 x 3 = $27 adult Wilson tickets          $9 x 2 = $18 adult Jackson tickets

$5 x 4 = $20 student Wilson tickets     $5 x 6 = $30 student Jackson tickets

$20 + $27 = $47 Wilson tickets            $18 + $30 = $48 Jackson tickets

                                          $48 - $47 = $1

Answer:

a. $1

Step-by-step explanation:

To find the difference, calculate how much each family spent on tickets and then subtract the lower number from the higher number. I’ll start with the Wilson’s.

First, multiply the cost of the tickets by how many they bought.

$9*3 adult tickets=$27

$5*4 student tickets=$20

Then, add the values together to find the total cost.

$27+$20=$47

Now, let’s do the same for the Jackson’s.

$9*2 adult tickets=$18

$5*6 student tickets=$30

$18+$30=$48

Finally, subtract the Jackson’s total cost from the Wilson’s.

$48-$47=$1

The difference is $1.

===============================================

Explanation:

Subtract the second equation from the first one

\(\ \ \ \ 3x+3y-5z = 4 \ \ ... \text{ eq 1}\\-(4x-4y+z = -1) \ \ ... \text{ eq 2}\\---------\\\ \ -x+7y-6z = 5\)

Let's call that result equation 4.

Now focus on equation 3 and equation 4

equation 3 is   -x+7y-6z = 2

equation 4 is   -x+7y-6z = 5

Note how the left hand sides are identical, but the right hand sides are different. This means that we have an inconsistent system with no solutions. No matter what numbers we pick for x,y,z, there is no way to make all three given original equations to be true.

Answer:

She can drive for 379 miles.

Step-by-step explanation:

158/ 2.5=63.2=63

63.2*6=379.2=379

Answer:

Factors

Step-by-step explanation:

To find the roots of a polynomial, [factors] help the process of finding them

Answer:

6.8475 grams of fat

Step-by-step explanation:

Given data

yogurt contains 11 g of fat

low - fat version contains 37.75 % less

Let us compute the value of 37.75 % of fat

=37.75/100*11

= 0.3775*11

=4.1525 gram

Hence the low - fat version contains

=11-4.1525

=6.8475 grams of fat