An investment of $7.560 earns interest at the ate of 5% and is compounded quarterly. What is the accumulated value of the investment at the of 9years.

Answer:

2

Step-by-step explanation:

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

Answer:

I think is C.

Step-by-step explanation:

Hope it's help you ❤️❤️❤️❤️❤️❤️❤️

Step-by-step explanation:

there are 3 ways to solve SAS triangle

first figure out [tex]\angle C [/tex]

to do so we will use the formula of law of cosine of C angle

[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab.\cos(C) [/tex]

substitute the given values of a,b and [tex]\angle C[/tex]

[tex] \sf{c}^{2} = {6 }^{2} + {3.5}^{2} - 2.6.(3.5). \cos( {25.7}^{ \circ} ) [/tex]

simplify squares:

[tex]c^{2}=36+12.25-42.\cos(25.7^{\circ})[/tex]

simplify addition:

[tex]c^{2}=48.25-42.\cos(25.7^{\circ})[/tex]

square root both sides

[tex] \sf \: \sqrt{ {c}^{2} } = \sqrt{ 48.25-42. \cos(25.7^{\circ})}[/tex]

simplify:

therefore

[tex]\bold{c=3.23}[/tex]

use law of sine to figure out angle A

[tex] \dfrac{6}{\sin( \angle \: A) } = \dfrac{3.23}{\sin(25.7)} [/tex]

therefore

[tex]\bold{\angle A=53.66°}[/tex](use calculater to simplify it)

therefore

[tex]\angle B\: is\: 180^{o}-25.70^{o}-53.66^{o}[/tex]

[tex]\bold{= 100.64}[/tex]

Answer:

159

Step-by-step explanation:

158.877856673=P

round:

P=159

Answer:

159  

Step-by-step explanation:

Answer:

B. x=8y

Step-by-step explanation:

X*1=y*8

X=8y

I hope so that i help you

Answer:

Step-by-step explanation:

extend the line on the 5ft side to create a triangle and a rectangle.

Area of a rectangle is l x b

10 x 4 = 40ft^2

Area of a triangle is 1/2 base x height

the height of the triangle will be 10 - 5 = 5ft

the base of the triangle will be 12 - 4 = 8

1/2 (8) x (5)

20ft^2

Total area = area of triangle + area of rectangle

Total area  = 20ft^2 + 40ft^2

Total area = 60 ft^2

Answer:

15

Step-by-step explanation:

Answer:

TW= 15

Step-by-step explanation:

If UV ≈ VW it means the two triangles shown are congruent (or equal).

So if they are equal it means TU will equal TW.

TU = 15 = TW

Answer:

You didn't say what the question was

Answer: 3

Step-by-step explanation:

Answer:

C. x = 10

Step-by-step explanation:

By Pythagoras Theorem:

[tex] \bigg( \frac{x}{2} \bigg)^{2} = {( \sqrt{74} )}^{2} - {7}^{2} \\ \\ \frac{ {x}^{2} }{4} = 74 - 49 \\ \\ \frac{ {x}^{2} }{4} = 25 \\ \\ {x}^{2} = 25 \times 4 \\ \\ {x}^{2} = 100 \\ \\ x = \sqrt{100} \\ \\ x = 10[/tex]

Answer:

Step-by-step explanation:

Use Pythagorean theorem.

Correct choice is C

Answer:

268.1

Step-by-step explanation:

Area of Sphere =

[tex] \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \pi {4}^{3} \\ = 268.1 {units}^{3} (nearest \: tenth)[/tex]

Answer:

I think D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Its d

Answer:

42

Step-by-step explanation:

A regular polygon with 42 sides where the length of each side is 2 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 42 sides. What are the interior angles and exterior angles?

If the length of each side is 2 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 42

Perimeter of a polygon with 42 sides = (side length) x 42 = 84 units

Area of a polygon with 42 sides = (n x Side2 x cot (Π/n))/4 = (n x 22 x cot (Π/42))/4 = 560.45 square units

Sum of the interior angles of a polygon with 42 sides =  (n-2) x 180 degrees =  (42-2) x 180 degrees = 7200 degrees

Interior Angle of a polygon with 42 sides = (n-2) x 180/n degrees = (42-2) x 180/42 degrees = 171.42 degrees

Exterior angle of a polygon with 42 sides = 180 - Interior Angle = 180 - 171.42 = 8.57 degrees

Inradius = Radius of In-circle = (side length) x cot (Π/42) = 2 x cot 4 = 26.68 units

Circumradius = Radius of Circum-circle = (side length) x cosec (Π/42) = 2 x cosec 4 degrees = 26.76 units

Symmetry Group = D42  42 rotational symmetries and 42 reflection symmetries. The "D" stands for di-hedral.

Answer: A. There are 3 squirrels for every 25 pigeons in the park

Step-by-step explanation:

The options include:

A) There are 3 squirrels for every 25 pigeons in the park.

B) There are 3 squirrels for every 5 pigeons in the park.

C) There are 5 squirrels for every 3 pigeons in the park.

D) There are 25 squirrels for every 3 pigeons in the park.

Since the ratio of squirrels to pigeons in the park is 15 to 125. The common factor we have here is 5. We can then divide the figures given by 5. This will be:

= 15/125 = (15/5)/(125/5) = 3/25

This mean that for every 3 squirrels, there are 25 pigeons in the park.

Therefore, the correct answer is A.

Answer:

(12, - 1 )

Step-by-step explanation:

Given the 2 equations

x + 4y = 8 → (1)

2x - 5y = 29 → (2)

Rearrange (1), expressing x in terms of y by subtracting 4y from both sides

x = 8 - 4y → (3)

Substitute x = 8 - 4y into (2)

2(8 - 4y) - 5y = 29 ← distribute and simplify left side

16 - 8y - 5y = 29

16 - 13y = 29 ( subtract 16 from both sides )

- 13y = 13 ( divide both sides by - 13 )

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

x = 8 - 4(- 1) = 8 + 4 = 12

solution is (12, - 1 )

[tex]x = 8 - 4y \: \: eqn \: 1[/tex]

now in eqn 2

[tex]2(8 - 4y) - 5y = 29[/tex]

[tex]16 - 8y - 5y = 29[/tex]

[tex]16 - 13y = 29[/tex]

[tex]16 - 29 = 13y[/tex]

[tex]13 = 13y[/tex]

[tex] \frac{13}{13} = y[/tex]

[tex]y = 1[/tex]

Now in eqn 1

[tex]x = 8 - 4y[/tex]

[tex]x = 8 - 4 \times 1[/tex]

[tex]x = 8 - 4[/tex]

[tex]x = 4[/tex]

therefore x=4 & y=1 answer

Answer:

Step-by-step explanation:

let the integers be x and y

x+y=-20

y=-20-x

xy=99

x(-20-x)=99

-20x-x²=99

x²+20x+99=0

x²+11x+9x+99=0

x(x+11)+9(x+11)=0

(x+11)(x+9)=0

x=-11,-9

when x=-11

-11+y=-20

y=-20=11=-9

when x=-9

-9+y=-20

y=-20+9=-11

so integers  are -11,-9

Answer:

its D. 480 cubic meters for Ape.x

Step-by-step explanation:

Answer:

5 and 10

Step-by-step explanation:  

You have all the information you need to find the area of the circle and then subtracting that from 77 you'll have the area of the rectangle and will be able to figure out the length and height by looking at the answer options.

So the area of a triangle is 1/2(b x h) or (b x h)/2 so the base is 6 and the height is 9 so the area is 54/2 which equals 27. 77 - 27 = 50 so the area of the rectangle is 50. With the answer options provided I can see that the height of the rectangle is 5 and the length is 10.

Answer:

4+2+$36.75= $42.75

Step-by-step explanation:

4+2+36.75

6+36.75

42.75

Alternative Form

171/4,42 3/4

Answer:

4+2+$36.75=$42.75.

Step-by-step explanation:

6+36.75=42.75

Answer: D. 0.16

.

.

EDG 2021

Answer:

x = 31.11

Step-by-step explanation:

Let us assume the third person receives be  x

Now the second person receives be 2x

And, the second  be 3(2x) = 6x

The total is 280

Now the equation is

x + 2x + 6x = 280

9x = 280

x = 31.11

Answer: x = 1/3

Step-by-step explanation:

5/x - 9/x = -8 - 4

-4/x = -12

x = -4/-12

x = 1/3

Answer:

-19

Step-by-step explanation:

symbolab- a website that you enter an equation in and it solves it for you it's free and no videos or anything :)

Answer:

21 pieces

Step-by-step explanation:

Given that,

Length of wood needed = 233 feet

The wood comes in lengths of 11 feet.

We need to find the number of pieces samuel need to buy. It can be done as follows :

Let he needed x peices. So

[tex]x=\dfrac{233}{11}\\\\x=21.18\\\\or\\\\x=21[/tex]

So, he will need approx 21 peices.

Answer:

7. Corresponding Angles Theorem

8. Alternate Interior Angles Theorem

9. Alternate Exterior Angles Theorem

10. Supplementary Angles Theorem

Step-by-step explanation:

Answer:

2/10 * 2/10 = 1/25

Step-by-step explanation:

Suppose you have 10 marbles in a bag. 5 black , 2 pink and 3 blue

As if two pink marbles are selected then for one pink marble probability = event occurred / total outcome = 2/10

Similar probability for an other pink marbles Probability for the drawing two pink marbles is P = 2/10 * 2/10  = 1/25

You can download answer here

tinyurl.com/wpazsebu

Answer:

The answer is "0.2352".

Step-by-step explanation:

Given:

The chance of selecting a odds blue block [tex]= \frac{13}{4}[/tex]

[tex]=\frac{\text{Amount of unfavourable blue block evets} \ (13)}{\text{Amount of unfavourable blue block evets} \ (4)}[/tex]

total number of events are 13+4= 17

Calculating the probability of choosing the blue block  

[tex]=\frac{\text{Amount of unfavourable blue block evets} }{\text{Amount of unfavourable blue block evets} } \\\\ = \frac{4}{17} \\\\ =0.2352[/tex]

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