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Using decimal multipliers, it is found that a rate of return of 5.2% in the third year will produce a cumulative gain of 16%.

The decimal multiplier for a increase of a% is given by:

[tex]M = \frac{100 + a}{100}[/tex]

In this problem, two increases of 5%, thus:

[tex]M = \frac{100 + 5}{100} = 1.05[/tex]

Another of x, that we want to find, and the result is a increase of 16%, thus:

[tex]M = \frac{100 + 16}{100} = 1.16[/tex]

The three increases(5%, 5% and x%) result in a increase of 16%, thus:

[tex]1.05(1.05)(x) = 1.16[/tex]

[tex]x = \frac{1.16}{(1.05)^2}[/tex]

[tex]x = 1.052[/tex]

1.052 - 1 = 0.052

A rate of return of 5.2% in the third year will produce a cumulative gain of 16%.

A similar problem is given at https://brainly.com/question/21806362

Step-by-step explanation:

given,

length = 100 m

breadth = 60 m

we know,

area = l × b

now,

100 × 60 = 6000 m

therefore, area of rectangular field is 6,000 m.

and for both the semicircle if we add both the semicircle we will get a complete circle.

as the width of the rectangle is the diameter of circle so the radius of the circle is 60/2 = 30m

we know,

Area = πr²

now,

→ 3.14 × 30²

→ 3.14 × 900

→ 2826 m

so,

area of rectangle + area of circle = area of the training field.

→ 6000 + 2826 = 8826.

therefore, area of training field is 8,826 m.

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

8826 m²

Step-by-step explanation:

The field is composed of a rectangle and a circle .( the 2 semicircles form a complete circle when placed together )

area = area of rectangle + area of circle

        = lb + πr² ( r = 60 ÷ 2 = 30 )

        = (100 × 60) + (3.14 × 30²)

        = 6000 + (3.14 × 900)

        = 6000 + 2826

        = 8826 m²

Answer:

70 dollars

Step-by-step explanation:

6 x 5 = 30, 4 x 10 = 40. Add them up, that's what you get.

Answer:

I think it's 6:3=18:9=54:27

Step-by-step explanation:

I hope this helps!

Answer:

A and C

Step-by-step explanation:

A function has a unique y value for every unique x value

The vertical section disqualifies B

D has 2 y values for many x values.

Answer: 3.1

Step-by-step explanation:

-8/27

Step-by-step explanation:

Just multiply this fraction by itself 3 times and you will get the answer then simplify.

Answer: This is a trig relationship from one of our special triangles, the 30-60-90 triangle.

Tan x = the opposite side of angle x divided by the adjacent side of angle x

The tangent is √3 when x = 60° or π/3

However, in this problem the value of the tangent is negative. In which of the four quadrants is the tangent function negative?

This function is negative in the second and fourth quadrants or when x = 120 and 300 degrees (or 2pi/3 and 5pi/3)

***I am assuming that the negative sign should be outside of the square root sign***

The number of groups that can be chosen from the team of 17 depends on

the given conditions of the selection.

The correct responses are;

Reasons:

The combination of n objects taking r at a time is given as follows

[tex]_nC_r = \dbinom{n}{r}[/tex]

(a) The number of ways of choosing groups of 9 from the 17 members is given as follows;

Number of ways of choosing groups of 9 = [tex]\dbinom{17}{9}[/tex] = 24,310 ways.

(b) (i) Number of women = 9

Number of men = 8

Number of groups of 9 containing 5 women and 4 men = [tex]\dbinom{9}{5} \times \dbinom{8}{4}[/tex]

[tex]\dbinom{9}{5} \times \dbinom{8}{4} = 126 \times 70 = 8,820[/tex]

Number of groups of 9 containing 5 women and 4 men = 8,820 groups.

(ii) The number of groups that contain at least one man is [tex]\dbinom{17}{9} - \dbinom{9}{9}[/tex]

[tex]\dbinom{17}{9} - \dbinom{9}{9} = 24,310 - 1 = 24,309[/tex]

The number of groups that contain at least one man are 24,309 groups.

(iii) The number of groups of 9 that contain at most 3 women if given as follows;

[tex]\dbinom{8}{8} \times \dbinom{9}{1} + \dbinom{8}{7} \times \dbinom{9}{2} + \dbinom{8}{6} \times \dbinom{9}{3} = 2,649[/tex]

The number of groups of 9 that contain at most 3 women are 2,649 groups.

(c) Given that two team members refuse to work together on projects, the number of groups of 9 that can be chosen are [tex]\dbinom{15}{9} + 2 \times \dbinom{15}{8}[/tex]

[tex]\dbinom{15}{9} + 2 \times \dbinom{15}{8} = 5,005 + 2 \times 6,435 = 17,875[/tex]

(d) Two team members must work together or not at all is [tex]\dbinom{15}{7} - \dbinom{15}{9}[/tex]

[tex]\dbinom{15}{7} - \dbinom{15}{9} = 6,435 - 5,005 = 1,430[/tex]

The number of groups of 9 that can be chosen two team members must work together or not at all are 1,430 groups.

Learn more here:

https://brainly.com/question/2790592

https://brainly.com/question/6949387

Answer:

1. 384

2. 180

3. 324

4. 648

5. 476

6. 528

7. 294

8. 384

9. 414

10. 80

11. 72

12. 301

13. 222

14. 146

15. 156

16. 270

17. 283

18. 300

19. 292

20. 58

21. 64

22. 138

23. 296

24. 170

Hope it helps you

Answer:

A New Element

Answer:

$44.40

Step-by-step explanation:

100%-70%=30%

30/100x148=44.40 (discounted price)

Appreciate to be marked brainliest. Hope this helps!

The triangle shown is a right triangle shown by the little square inside of it.

Area of a triangle is 1/2 x height x base

Rotating the shown triangle so the square is at a bottom corner the height is 6 and the base is 6

Area = 1/2 x 6 x 6 = 18 square cm

Answer:

53cm

Step-by-step explanation:

11+8+8+11+15=53cm

Answer:

If Darren's taxable income is $27,481 and he is the head of household, he will be exempted from tax deductions. If he has already paid $3,847 in federal taxes, he will receive an equivalent amount in return if his tax deduction exceeds his collectible tax. Therefore, his money at the end of the year will total to $31,328.  

Step-by-step explanation:

Answer:

Step-by-step explanation:

he will receive a refund of 346 dollars

i just took the test

Answer: 41

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

hlo!! dear!! glad to help u!

2x – 15 – 7x + 24 = -36​

2x -7x -15 +24= -36

-5 x + 9= -36

-5 x = -36-9

-5 x =-45

x = -45/-5

x = 8

thank u!!!

Answer:

row matrix

Step-by-step explanation:

A matrix with only 1xmis called a ______ matrix

Answer:

250g

Step-by-step explanation :

250ml x 250g/ml = 250 g

To get the mass (in grams), you need to divide the ml's off and get the g alone.

Step-by-step explanation:

Is there a image or any numbers because I can't see any

Answer:

If you are doing it thru edmentum the answer would be -2, 7, 1, 0, -5, 4, -3

Step-by-step explanation:

Hope this helps!!

Answer:

k = 1/2

Step-by-step explanation:

direct variation equation is y = kx where 'k' is the constant of variation

substitute 36 for 'y' and 72 for 'x' to get:

36 = 72k

solve for 'k' to get:

k = 36/72 or k = 1/2

The increase was: 494

Answer:

r || s

Step-by-step explanation:

m∠4 = m∠5  Given.

These angles are called alternate interior angles and because you are given that they are = then there are two parallel lines. The converse of the theorem stated.  If alternate interior angles are cut by a transverse and two lines and the alternate interior angles are equal, then you have a pair of parallel lines.

Answer:

option 4

Step-by-step explanation:

Percent change is calculated as

[tex]\frac{change}{original}[/tex] × 100%

change = 15 - 10 = 5 , then

percent change = [tex]\frac{5}{10}[/tex] × 100% = 5 × 10% = 50%

Answer:

D. 5i

Step-by-step explanation:

edge 2021

Answer:

Step-by-step explanation:

Answer:

x x x and 1 1 1

Step-by-step explanation:

3rd option is the correct answer.

Answer:

B, second option: the product of three fourths is not equal to 9

The error made by Sameer while creating the algebraic equation: Sameer did not use the correct equation to model the given information.

An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other.

It is given that Three-fourths of the total number of different toppings available at the make-your-own sundae shop = 12

The algebraic equation given by Sameer is wrong, the correct equation will be:

Let the total number of toppings be x.

[tex]\frac{3}{4} x = 12\\ \\x = 12 (\frac{4}{3} ) = 16[/tex]

Learn more about algebraic equation here

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