You have invested 10 000 units in DEF unit trust in 2016 at a price of RM1.00 per unit. The investment company announced a dividend distribution of 6.5 cents per unit the following year. Calculate the dividends you earn and the value of return of investment.​

Answers

Answer 1

Answer:

You are better off investing today in the mutual fund and earn 8.2 percent semiannually for 10 years.

Step-by-step explana

We will need to calculate the interest generated in both of these scenarios to determine which one is the best.

In scenario 1

Periods= 10 years * 2= 20 periods (since rate is biannual)

Principal= $12,000

Rate= 8.2%

Using the formula

Interest= Principal * Rate * Time

Interest= 12,000* 0.082 * 20

Interest= $19,680

In scenario 2

Principal= $11,000

Rate= 10%

Period= 8 years ( two years have already passed, so we calculate for 8 years since we want to see gain after 10 years)

Interest= 11,000* 0.10 * 8

Interest= $8,800

So imvesting $12,000 at interest rate of 8.2% biannually for 10 years is a better option.Answer:

You are better off investing today in the mutual fund and earn 8.2 percent semiannually for 10 years.

Explanation:

We will need to calculate the interest generated in both of these scenarios to determine which one is the best.

In scenario 1

Periods= 10 years * 2= 20 periods (since rate is biannual)

Principal= $12,000

Rate= 8.2%

Using the formula

Interest= Principal * Rate * Time

Interest= 12,000* 0.082 * 20

Interest= $19,680

In scenario 2

Principal= $11,000

Rate= 10%

Period= 8 years ( two years have already passed, so we calculate for 8 years since we want to see gain after 10 years)

Interest= 11,000* 0.10 * 8

Interest= $8,800

So imvesting $12,000 at interest rate of 8.2% biannually for 10 years is a better option.


Related Questions

Charlotte has joined the a Frequent Coffee Buyer program with a local cafe. The program costs $5 per month which allows her to get a discounted coffee price of $2.5 per cup. Answer the questions below regarding the relationship between the of number of cups of coffee purchased and the total monthly cost.
The independent variable, x, represents the
number of coffee cups purchased
, and the dependent variable is the
total monthly cost
, because the
number of coffee cups purchased
depends on the
total monthly cost
.
A function relating these variables is A(x) =A(x)=
.
So A(10) =A(10)=
, meaning 1010


.

Answers

The equation will be A(x) = 5 + 2x and the independent variable will be the number of coffee cups that are purchased.

How to calculate the equation

Since the program costs $5 per month which allows her to get a discounted coffee price of $2.5 per cup.

The independent variable x, represents the number of coffee cups purchased. The dependent variable is the total monthly cost.

The function is A(x) = 5 + 2x. The cost for 10 cups will be:

= 5 + 2x

= 5 + 2(10)

= 5 + 20

= 25

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The circle has a diameter of 16 inches. What is the area of the circle, rounded to the nearest square inch?

A circle with diameter 16 inches.
A) 64
B) 79
C) 201
D) 804

Answers

Statement:

The circle has a diameter of 16 inches.

To find out:

The area of the circle.

Solution:

Diameter of the circle = 16 inches.

Radius of the circle = Diameter ÷ 2 = 16 inches ÷ 2 = 8 inches

π = 3.14

We know, area of a circle = πr² where r is the radius.

Therefore, the area of the circle= 3.14 × (8)² square inches= 3.14 × 64 square inches= 200.96 square inches= 201 square inches [rounded to the nearest square inch]

Answer:

C) 201 square inches

Hope you could understand.

If you have any query, feel free to ask.

Answer:

[tex]Solution,\\Here,\\Diameter(d)=16 inches\\radius(r)=16inches/2=8inches\\Now, \\ Area=\pi r^{2} \\ Area=3.14*(8inches)^{2} \\ Area=3.14*64inches^{2} \\Area=200.96inches^{2} =201inches^{2}[/tex]

Hence, Option c is correct.

what’s the linear equation for 8 miles in 32 min

Answers

s=vt
s=8 t=32
8=32v
v=0.25
the answer is
s=0.25t
(the unit of s is mile, the unit of t is min)

How many sets of three consecutive integers are there in which the sum of the three integers equals their product?

Answers

Answer:

3

Step-by-step explanation:

since the 3 integers are consecutive, we are dealing with x, x+1, x+2.

and their sum is the same as their product :

x + (x + 1) + (x + 2) = x(x + 1)(x + 2)

3x + 3 = x(x² + 3x + 2) = x³ + 3x² + 2x

x³ + 3x² - x - 3 = 0

this is a polynomial of third degree.

and as such it has 3 solutions.

of course, it could be that some of them are the same or are even in the realm of complex numbers (i = sqrt(-1)), but usually these 3 solutions are different real numbers.

I tried x=1 just to see, and, hey, it is a solution for this equation.

x = 1 means that the other 2 consecutive integers are 2 and 3.

and indeed, 1+2+3 = 1×2×3 = 6.

now it is easier to find the other 2 solutions, as a zero solution can be expressed as a factor of the whole expression.

for x = 1 the factor term is (x - 1), as this term is then turning 0, when x = 1.

I can divide the main expression by this factor and then analyze the quotient about the other 2 solutions.

x³ + 3x² - x - 3 : x - 1 = x² + 4x + 3

- x³ - x²

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

0 4x² - x

- 4x² - 4x

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

0 + 3x - 3

- 3x - 3

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

0 0

so, the original expression can be written as

(x² + 4x + 3)(x - 1).

now we need to find the 2 zero solutions for x²+4x+3

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 4

c = 3

so,

x = (-4 ± sqrt(4² - 4×1×3))/(2×1) =

= (-4 ± sqrt(16 - 12))/2 = (-4 ± sqrt(4))/2 =

= (-4 ± 2)/2 = -2 ± 1

x1 = -2 + 1 = -1

x2 = -2 - 1 = -3

so, we have the additional solutions :

-1 0 1

-3 -2 -1

-1 + 0 + 1 = -1×0×1 = 0

-3 + -2 + -1 = -3×-2×-1 = -6

and there we have it fully proven :

there are 3 different sets of 3 consecutive integers with the same sum as product.

Please help I will give a brainly

Answers

The solution of the equation is is X= -1

2(x - 6) + 6 = 4x - 4

Multiply 2 with x - 6

2x - 12 + 6 = 4x - 4

2x - 6 = 4x - 4

Change the position of them

2x - 4x = -4 + 6

- 2x = 2

Take -2 to other side and divide

[tex]x \: \: = \frac{2}{ - 2} [/tex]

x = -1 answer

There are two concentric spheres of radii 3 units and 6 units. What is the volume, in cubic units, of the region within the larger sphere and not within the smaller sphere

Answers

Check the picture below.

we can simply get the volume of the larger sphere, then the volume of the smaller sphere and subtract it from that of the larger sphere and what's leftover is the region between both.

[tex]\stackrel{\textit{\large volumes}}{\stackrel{\textit{sphere with r=6}}{\cfrac{4\pi (6)^3}{3}}~~ -~~\stackrel{\textit{sphere with r = 3}}{\cfrac{4\pi (3)^3}{3}}}\implies 288\pi -36\pi \implies 252\pi \approx \stackrel{cubic~units}{791.68}[/tex]

The region within the larger sphere and not within the smaller sphere is 789.02 cubic units.

What is the volume of a sphere?

The volume of sphere is the measure of space that can be occupied by a sphere.  If the radius of the sphere formed is r and the volume of the sphere is V. Then, the volume of the sphere is given by: Volume of Sphere, V = (4/3)πr³

Given that, there are two concentric spheres of radii 3 units and 6 units.

Now,

Volume of sphere with radius 3 units is

V₁ = 4/3×3.14×3³

= 4/3×3.14×27

= 4×3.14×9

= 113.04 cubic units

Volume of sphere with radius 6 units is

V₂ = 4/3×3.14×6³

= 4/3×3.14×216

= 902.06 cubic units

Now, difference is 902.06-113.04

= 789.02 cubic units

Therefore, the region within the larger sphere and not within the smaller sphere is 789.02 cubic units.

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plz help me i’ll give like 50 points!

Answers

Answer:

We will be using the Pythagorean theorem for the first 2 and SOH CAH TOA for the other 3.

a^2 + b^2 = c^2

sin(t) = b/c;  cos(t) = a/c;  tan(t) = b/a

#4)  a^2 + 9^2 = (3sqrt(10))^2                    #5  9^2 + 27^2 = c^2

       a^2 + 81 = 90                                             81 + 729 = c^2

       a^2 = 9                                                       810 = c^2

       a = 3                                                          9sqrt(10) = c

#6    27 + 3 = 30                                        #9  cos(90) = 8/c

                                                                         8/-0.45 = c

                                                                         | 17 | = c  [not the exact value]

#7  8^2 + b^2 = 17^2                                 #8  2^2 + 15^2 = c^2

      64 + b^2 = 289                                          4 + 225 = c^2

      b^2 = 225                                                  229 = c^2

      b = 15  [not the exact value]                     15.3 = c  [not the exact value]

Sorry if something doesn't make sense and felt kind of rushed. Feel free to comment down below my answer if you have any questions and I'll try to clarify it the best I can.

Examine this system of equations. Which numbers can be multiplied by each equation so that when the two equations are added together, the x term is eliminated?

One-fifth x + three-fourths y = 9

Two-thirds x minus five-sixths y = 8

A. –10 times the first equation and 3 times the second equation
B. 10 times the first equation and 3 times the second equation
C. –3 times the first equation and 5 times the second equation
D. 3 times the first equation and 5 times the second equation

Answers

Answer:

The first equation must be multiplied by 18 and second equation must be multiplied by 8

Step-by-step explanation:

To eliminate x, on the addition of two equations, we multiply the first equation by -10, and the second equation by 3. Thus, option (A) –10 times the first equation and 3 times the second equation, is the right choice.

What is a system of equations?

A system of equations is a set of equations, involving similar variables used to solve for the variables simultaneously.

How to solve the question?

In the question, we are asked for the numbers which when multiplied by the two equations respectively, eliminate x, when the equations are added.

The two equations are:

(1/5)x + (3/4)y = 9 ... (i),

(2/3)x - (5/6)y = 8 ... (ii).

We know that to eliminate a variable from a system of equations, their coefficients need to be equal and the sign needs to be opposite.

In the question, we are asked to eliminate x.

The coefficients of x are (1/5) and (2/3).

To equalize the coefficients, we make them equal to their LCM.

LCM of (1/5) and (2/3) is 2.

To make (1/5) as 2, we need to multiply it by 10.

To make (2/3) as 2, we need to multiply it by 3.

For opposite signs, we will make of this negative.

The option with our calculations is A. –10 times the first equation and 3 times the second equation.

Thus, to eliminate x, on the addition of two equations, we multiply the first equation by -10, and the second equation by 3. Thus, option (A) –10 times the first equation and 3 times the second equation, is the right choice.

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At lunch, the meal cost $55 and the sales tax of 3.58 was added to the bill. What was the tax rate for meals in this city?

Answers

Answer:

this is what to do

Step-by-step explanation:

The formula for calculating the sales tax on a good or service is selling price x sales tax rate, and when calculating the total cost of a purchase, the formula is total sale amount = selling price + sales tax.

write the phrase as an expression.

the sum of 12 and a number h​

Answers

12:; days subdue she did 284 correct plus

Answer:12+h

Step-by-step explanation:

HELP ASAP
what is the length of bd. round your answer to the nearest hundredth

Answers

Answer:

BD = 4.99 units

Step-by-step explanation:

Consider the triangle ABD only. The angle formed is 31 degrees which occurs between two sides that are AD and BC. We know that for a right angled triangle, the angle can always be taken as an angle between hypotenuse and base. Thus, The perpendicular sides is then 3 units, where base is BD and Hypotenuse is AD Using formula for tanθ tanθ = Perpendicular/Base tan31 = 3/BD 0.601 = 3/BD BD = 3/0.601 BD = 4.99 units

I NEED ANSWERR PLEASE AND FAAST

Answers

Look at the pics

Step-by-step explanation:


What is the degree of the polynomial below?
7x5+6x2 + 4x + 2

Answers

Answer:  5

Step-by-step explanation:

7x^5 has the highest degree of the polynomial  

Answer:

5

Step-by-step explanation:

The highest power(Exponent) of variable x is the degree of the polynomial

Highest power = 5

Degree of the polynomial = 5

Mrs. Smith bought an 88 pound pumpkin so she could make a pie. The pumpkin cost Mrs. Smith $ 6 . 80$6.80. How much did the pumpkin cost per pound?

Answers

Answer:

$.08 per pound

Step-by-step explanation:

Take the total cost and divide by the number of pounds

6.80 / 88 lbs

$.077272727 per pound

Rounding to the nearest cent

$.08 per pound


True or False: Every fraction has a limited number of equivalent fractions.
A
True
B
False

Answers

Answer: False

Step-by-step explanation: Numbers are infinite, They go on forever. 2/3 can be 20/30, 200/300, etc.

Answer

B)False

Step-by-step explanation:

Every fraction has an infinite number of equivalent fractions.

For example, the equivalent fractions for 1/2 are 2/4, 3/6, 4/8, 5/10, 6/12, and infinite others. Hence, there are infinite equivalent fractions for a every single fraction.

Which is greater 3yd or 30ft

Answers

Answer: 30 feet is greater

Step-by-step explanation:

3 yards is 9 feet (1 yard is 3 feet). 9 < 30. 30 feet is more than 9 feet, and 9 feet is equal to 3 yards so 30 feet is greater than 3 yards

Rewrite the following expression.
10
3
OA (23)
O B.
Oc. (alia
10
OD.
1

Answers

Answer:

[tex]the \: answer \: is \: c \: \\ {x}^{ \frac{10}{3} } = \sqrt[3]{ {x}^{10} } = {x}^{3} \sqrt[3]{x} \\ {x}^{3 } \times {x}^{ \frac{1}{3} } = {x}^{3 + \frac{1}{3} } = {x}^{ \frac{10}{3} } [/tex]

The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below. Means and Mean Absolute Deviations of Sidney’s and Phil’s Grades Sidney Phil Mean 82 78 Mean Absolute Deviation 3. 28 3. 96 Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation? StartFraction 82 over 3. 28 EndFraction StartFraction 4 over 3. 28 EndFraction StartFraction 4 over 0. 68 EndFraction StartFraction 82 over 0. 68 EndFraction.

Answers

Answer:

4/3.28

Step-by-step explanation:

Answer:

4/3.28

Step-by-step explanation:

What is the degree of the polynomial?

Answers

Answer:

5

Step-by-step explanation:

6x^2 + 7x^3 + 8x^5 +9

Write in order from highest power to lowest power

8x^5 + 7x^3 + 6x^2  +9

The highest power ( largest exponent) is 5

The degree of the polynomial is 5

samantha was training for a marathon each week she ran she increased her distance by 2km if she ran 5km the first week after how many weeks will be able to run 15km?

Answers

Answer:

5 weeks

Step-by-step explanation:

x(number of weeks)

5+2x=15

2x=10

x=5

(verification)

5+2*5=15

15=15

PLEASE ANSWER HURRY WHICH ONE IS IT?

Answers

Answer:

x = cd-by/ a

Step-by-step explanation:

ax + by / c = d

ax + by = cd

ax = cd-by

x = cd-by/a

Answer:

B

Step-by-step explanation:

You can multiply both sides by c to remove the fraction part.

d(c) = ax + by/c(c)

dc = ax + by

Then subtract "by" from both sides to isolate x.

dc - by = ax - by + by

dc - by = ax

Then divide both sides by a to completely isolate the variable x.

(dc - by)/a = ax/a

(dc - by)/a = x

B

Elena gets paid $60 every time she babysits, and she donates the same amount of this money to charity every time she gets paid. Elena will babysit 7 times this month, and she wants to make sure she keeps at least $420 from this month’s earnings.

The inequality 7(60 - x) ≥ 420 represents this situation.Solve this inequality and explain what the solution represents in this context.

Answers

Answer:

It's good

Step-by-step explanation:

7 x 60 = 420.

So, she will get the complete money

I need help pls help me

Answers

First Method:

Round [tex]\frac{3}{5}[/tex] to the closest integer, which is 1.

Round [tex]\frac{3}{4}[/tex] to the closest integer, which is also 1.

So 1 + 1 = 2.

Answer for method 1: 2

Second Method:

[tex]\frac{3}{5}[/tex] + [tex]\frac{3}{4}[/tex] = [tex]\frac{3*4}{5*4} + \frac{3*5}{4*5} = \frac{12}{20}+\frac{15}{20}=\frac{27}{20}[/tex]

[tex]\frac{27}{20}[/tex] is around 1

Answer for method 2: 1

The closest answer is 1.

Write an equation in slope intercept form that has a slope of \frac{3}{2}
2
3

goes through these two points.
\left(2,-6\right)\&\left(4,-3\right)(2,−6)&(4,−3)

Answers

can you post a pic so i can understand it better

How do I solve this?

Answers

360÷9=40°

2x+40=180

2x=180-40

2x=140

x=140÷2

x=70

angle is

2×70=140°

Item 3
What is the value of m in this proportion?

1235=13m
m=

Answers

13m=1235
m=1235 over 13
m=95

solve pls brainliest

Answers

Answer:

3/8 = 9/24

1/3 = 8/24

3/8 > 1/3

Step-by-step explanation:

3/8 = 9/24 (multiply both numerator and denominator by 3)

1/3 = 8/24 (multiply both numerator and denominator by 8)

9/24 > 8/24

answer the following question​

Answers

Answer:

Step-by-step explanation:

1) Total = 30 students

Girls : Boys = 2 : 1

Total part = 2 + 1 = 3

Fraction of girls = 2/3

[tex]Number \ of \ girls = \dfrac{2}{3}*30 = 2*10 = 20\\\\\\Number \ of \ boys = 30 - 20 = 10[/tex]

Answer: 20 girls and 10 boys

2) Total pens = 24

Red  :Blue : Black  = 3 : 4 : 1

Total parts = 3 + 4 + 1 = 8

[tex]Number \ of \ red \ pens = \dfrac{3}{8}*24=3*3 = 9\\\\\\Number \ of \ blue \ pens = \dfrac{4}{8}*24=4*3=12\\\\\\Number \ of \ black \ pens = \dfrac{1}{8}*24=1*3=3[/tex]

Answer: 9 red pens

                12 blue pens

                 3 black pens

3) Total people = 180

Adults : boys : girls = 3 : 2 : 7

Total parts = 3 + 2 + 7 = 12

[tex]Number \ of \ adults = \dfrac{3}{12}*180=3*15=45\\\\\\Number \ of \ boys = \dfrac{2}{12}*180=2*15=30\\\\\\Number \ of \ girls = \dfrac{7}{12}*180=7*15=105\\\\[/tex]

Answer: 45 adults  ; 30 boys and 105 girls

4)Total vehicles = 12000

Cars : trucks : motorcycles = 13 : 8 : 3

[tex]Number \ of \ cars = \dfrac{13}{24}*12000=13 *500 = 6500\\[/tex]

6500 cars drove through on that day

[tex]b) Number \ of \ trucks = \dfrac{8}{24}*1200 = 8*500 = 4000[/tex]

4000 trucks

In triangle PQR, A and B are points on side QR such that they trisect QR. Prove that, ar( triangle PBR) = 0.5 ar( triangle PQB).

pls give the answer with steps...pls help me guys

Answers

Explanation:

We assume the problem statement is telling us that the order of points on segment QR is Q, A, B, R, and that QA = AB = BR. This means that

  QB = QA +AB = 2BR

  BR = 1/2(QB)

The area of the triangles will be ...

  A = 1/2bh

For triangle PQB, the area is ...

  ar(PQB) = 1/2(QB)h . . . . . h is the perpendicular distance from QR to P

For triangle PBR, the area is ...

  ar(PBR) = 1/2(BR)h = 1/2(1/2QB)h . . . . h is the same as above

  ar(PBR) = 1/2ar(PQB)

__

Essentially, you're showing the base of the smaller triangle is 1/2 the base of the larger one and using that to show the area of the smaller triangle is 1/2 the area of the larger one. (Both have the same height.)

Determine the GCF of 12y, 15y?, and 6y

Answers

Answer:

3y

Step-by-step explanation:

All three expressions have the factor 3, and all three have the factor y.  Thus, the GCF is 3y.

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