The projected worth (in millions of dollars) of a large company is modeled by the equation w = 221(1.09) t. The variable t represents the number of years since 2000. What is the projected annual percent of growth, and what should the company be worth in 2008? A. 9%; $440.36 million B. 19%; $479.99 million C. 9%; $404.00 million D. 19%; $240.89 million

Answer:

1st triangle:

sin(C): 0.64, [tex]\frac{16}{25}[/tex]

cos(C): 0.8, [tex]\frac{4}{5}[/tex]

Second triangle:

sin(C): 0.75, [tex]\frac{\sqrt{5} }{3}[/tex]

cos(C): 0.67, [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Using SOH CAH TOA, we know that to find the sin of an angle, it's Opposite/Hypotenuse.

To find the cos of an angle, it's adjacent/hypotenuse.

In the 1st triangle:

The adjacent to C is 16, the hypotenuse is 25.

[tex]\frac{16}{25} = 0.64[/tex] is the sin of C.

The adjacent to C is 20, and the hypotenuse is 25.

[tex]\frac{20}{25} = 0.8[/tex] is the cos of C.

In the second triangle:

The opposite to C is [tex]\sqrt{5}[/tex] and the hypotenuse is 2.

[tex]\frac{\sqrt{5} }{2} \approx0.75[/tex] is the sin of C.

The adjacent to C is 2 and the hypotenuse is 3.

[tex]\frac{2}{3} \approx 0.67[/tex] is the cos of C.

Hope this helped!

Answer:

[tex]\sqrt{\frac{x+2}{-4} }+3=y[/tex] d=(-infinity,-2) r=(3,+infinity)

Step-by-step explanation:

i did the math

Answer:

m = 1

Step-by-step explanation:

From the question given,

m(2x − 3) + n(x + 1) = 5x for all real numbers x.

Since x is a real number, we can obtain the value of m as follow:

Let x = 1

m(2x − 3) + n(x + 1) = 5x

m(2×1 − 3) + n(1 + 1) = 5×1

m(2 – 3) + n(2) = 5

m(– 1) + n(2) = 5

– m + 2n = 5 ...... (1)

Let x = 2

m(2x − 3) + n(x + 1) = 5x

m(2×2 − 3) + n(2 + 1) = 5×2

m(4 – 3) + n(3) = 10

m(1) + n(3) = 10

m + 3n = 10 ...... (2)

– m + 2n = 5 ...... (1)

m + 3n = 10 ...... (2)

Solve by elimination method

Add equation 1 and 2

– m + 2n = 5

+ (m + 3n = 10)

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

5n = 15

Divide both side by 5

n = 15/5

n = 3

Substitute the value of n into any of the equation to obtain the value of m. Here, we shall substitute n into equation 2.

m + 3n = 10

m + 3(3) = 10

m + 9 = 10

Collect like terms

m = 10 – 9

m = 1

Therefore, the value of m is 1

Answer:

Simple division..

divide 5 by 3,678

you'll get answer

0.00135943447

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

      Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

[tex]5\ \div \ 3678[/tex]

[tex]= \frac{5}{3678}[/tex] (Decimal: 0.001359)

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

If this helped you, could you maybe give brainliest..?

❀*May*❀

Answer:

12 1/2 hours

Step-by-step explanation:

This is because (0*1) + (1/4*1) + (1/2*1) + (3/4*3) + (1*3) + (1 1/4*4) + (1 1/2*1) = 12 1/12.

Answer:

[tex]\Large \boxed{b=2}[/tex]

Step-by-step explanation:

-5+2(10b-2)=31

Expand brackets.

-5+20b-4=31

-9+20b=31

Add 9 on both sides.

20b=40

Divide both sides by 20

b=2

Answer:

Step-by-step explanation:

-5+2(10b-2)=31

Multiply the terms in the bracket

That's

- 5 + 20b - 4 = 31

Group like terms

Send the constants to the right side of the equation

That's

20b = 31 + 4 + 5

Simplify

20b = 40

Divide both sides by 20

We have the final answer as

Hope this helps you

Answer:

A. 17.5 in.

Step-by-step explanation:

The formula for the area of a triangle is 1/2 * (b * h), where h represents the height and b represents the base. We can solve from reverse using area/height = base*2

369.25/42.2 = 8.75

1/2base = 8.75

base = 8.75 * 2

base = 17.5

Answer:

369.25/42.2 = 8.75

1/2base = 8.75

base = 8.75 * 2

base = 17.5

hope I helped you

Answer:

63 degrees

Step-by-step explanation:

(180-54)/2=126/2=63

Answer:

The value of y is 63

Step-by-step explanation:

The sum of angles in a triangle is 180°.

The angles in the triangle are 54°, y°, y°

Sum of angles in the triangle = 54° + y° + y° = 54 + 2y°

To find y, equate the sum of the angles in the triangle to 180°

54° + 2y° = 180°

2y° = 180° - 54°

2y° = 126°

y = 126/2 = 63

Hey there!

5/8 + 14 = ?

We can say 14 is equal to 14/1 beause it doesn't have a denominator and we will need to solve for your equation

14 * 8 = 112 (upcoming numerator for now)

8 * 1 = 8 (upcoming denominator for now)

5 stays alone

New equation 5 + 112 / 8

5 + 112 = 117 (numerator)

8 = 8 (demominator)

Answer: 117/8 (if you're looking for the improper fraction version) ; 14 5/8 (if you're looking for the mixed number version) ; 14.625 (if you're looking for the decimal version of it)

⬆ ANY one of these choices SHOULD work

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

05/3

Step-by-step explanation:

5/3 = 1.66

Answer:

5/3

Step-by-step explanation:

a= 3 and b= 5

b/a

5/3

Answer:

380 cm^2

Step-by-step explanation:

10*10=100(base square)

Each triangle= (14*10) /2=70

4 sides, so therefore: 70*4=280

280+100=380

Since the square base has side 10 cm and triangular side has height 14 cm, the total surface area of square pyramid is 380 cm²

To answer the question, we need to find the total surface area of the square pyramid

Since a square pyramid has a square base and four triangular sides, its surface area, A = area of square base + 4 × Area of triangular side.

Area of square with side, L is A = L²

Area of triangle with height, h and base, L which is the length of the square base is A' = 1/2Lh

So, total surface area of square pyramid is A" = L² + 4 × 1/2Lh

= L² + 2Lh

Given that the length of the square base is 10 cm and the height of the triangular side is 14 cm.

We have that

So, substituting the values of the variables intot he equation, we have

A" = L² + 2Lh

A" = (10 cm)² + 2 × 10 cm × 14 cm

A" = 100 cm² + 280 cm²

A" = 380 cm²

So, the total surface area of square pyramid is 380 cm²

Learn more about total surface area of square pyramid here:

https://brainly.com/question/22744289

#SPJ2

Answer:

8.3

Step-by-step explanation:

To do this use the distance formula

[tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

First find the coordinates Jane (-5, -2) Friend (3, -4)

Now solve for d (8.246)

Answer:

10 units or approx. 8.25 units

Step-by-step explanation:

Jane's house is at coordinate (-5,-2) and her friend's house is at coordinate (3,-4).

You can find the answer in 2 ways.

1) Hypotenuse (the diagonal side or side across from the right angle) - approx. 8.25 units

2) Down and Side (go down 2 units and go side 8 units) - 10 units

Hope that helps and maybe earns a brainliest!

Have great day ahead! :)

Answer:

7. 36     8. 1     9. 21

Step-by-step explanation:

You plug in the variables in the equation.

7.[tex]5^{2} +-4^{2} = 41[/tex]

8. [tex](5-4)^{2} = 81[/tex]

9. [tex]5+4^{2} =21[/tex]

Answer:

See explanation

Step-by-step explanation:

1. 8^5 = 32768

2. a^6

3. 5^5*9^3 = 2278125

5. (-3)^5 = -243

6. (3/4)³ = 27/64

7. a² + b² = 5² + (-4)² = 25 + 16 = 41

8. (a + b)² = (5 + 4)² = 9² = 81

9. a + b² = 5 + 4² = 5 + 16 = 21

Answer:

a(n) = 7*2^(n - 1)

Step-by-step explanation:

The first term of the given geometric sequence, 7, 14, 28, 56, 112, ... , is 7, and the common ratio is 2.  Each new term is twice the previous term.

Thus the general formula for the geometric sequence becomes

a(n) = 7*2^(n - 1).

As a check, let's see whether this formula correctly predicts the fourth term (56):  Here n = 4, and so a(4) = 7*2^(4 - 1) = 7*2^3 = 7*8 = 56.  Yes.

Answer:

f(x) = (7) ∙ (2)x–1

Step-by-step explanation:

The first term in the sequence is 7, and the common ratio is 2. Using the explicit formula and writing it in function notation results in f(x) = (7) ∙ (2)x–1.

Answer:

3/4

Step-by-step explanation:

We would like to find what 0.75 is as a fraction.

Remember that since there are two digits past the decimal point, the denominator will 100.

So, the numerator is 75 and the denominator is 100. We now have:

75/100

We would like to simplify this. Notice that the top and bottom (75 and 100) are both divisible by 25. So divide both by 25:

75 / 25 = 3

100 / 25 = 4

The answer is thus 3/4.

~ an aesthetics lover

Answer:

RK: 4 and BC: 6

Step-by-step explanation:

SImilar triangles

find unknown / know sides

Which means (2x+2)/6 = (4x+2)/9

  (X+1)/3 = (4x+2)/9

Multiply 9 to both sides

9/3 (x+1) = (4x+2)

3x+3 = 4x+2

1 = x

Answer: RK = 4, BC = 6

Step-by-step explanation:

In a similar triangle, the ratios of corresponding sides are the same.  Thus, because of sides MK and AC, the triangles have a ratio of 6/9, or 2/3.  Thus, you can determine that 2/3(4x+2)=2x+2.

Distribute

8/3x + 4/3 = 2x + 2

Subtract 2x

2/3x + 4/3 = 2

Subtract 4/3

2/3x=2/3

Divide by 2/3

x = 1

Then, simply plug-in 1 for x to get that RK is 4 and BC is 6

Hope it helps <3

Hey there! I'm happy to help!

The vertex form of a parabola is y=a(x-h)²+k. The h represents the horizontal transformation, while the k represents the vertical. The vertex of a parabola in this form is (h,k). The a represents a vertical stretch or shrink.

Our parabola is y=(x+1)²+2. This is already in vertex form, so we do not need to change the equation. There is no a (basically a=1), which means that the parabola has not been stretched or shrunk from its parent form.

We see that the h is -1. This is because in the original equation it is (x-h)², so it has to be -1 because the two negatives make a positive which is the +1. (x--1)=(x+1).

We see that the k value is 2.

Since the vertex is (h,k), this vertex is (-1,2).

However, we have to shift the parabola 7 units to the right and 5 units down. So, we add 7 to the x-value and subtract 5 from the y-value of the vertex.

(x,y)⇒(x+7,y-5)

(-1,2)⇒(6,-3)

Therefore, the vertex of the resulting parabola is (6,-3).

Have a wonderful day! :D

Answer:

6×[tex]10^{-4}[/tex]

Step-by-step explanation:

Answer:

414

Step-by-step explanation

80+10hrs=230

23bacteria:1hr

414bacteria:18hrs

Answer:

x = 69°

Step-by-step explanation:

1). JFGHI is a pentagon, every angle in a Pentagon is equal to 108°.

2). angle JIH + angle HIE = 180°; angle JIH = 108, so angle HIE = 72°.

3).  angle JDI is equal to 39° and angle IEH; so angle IEH = 39°

4). Now we know 2 out of the three angles in the triangle IHE, so we can find x!

5). x + angle HIE + angle IEH = 180°

    x + 72° + 39° = 180°

    x = 69°

Answer:

she bought 7 cards

Step-by-step explanation

7x5=35 and im sure there is tax

Answer:

20

Step-by-step explanation:

We know that ΔBAC and ΔBED are similar becuase of the AA Postulate (they both have a right angle and they both share ∠B). Since AC is 15/3 = 5 times longer than ED, the scale factor is 5 which means AB is 5 times longer than EB. This makes EB = 25 / 5 = 5. Since AB = AE + EB and we know that AB = 25, AE = x and EB = 5, 25 = x + 5 which means x = 20.

Answer:

[tex]\huge \boxed{y=14x}}[/tex]

Step-by-step explanation:

x=0.5, y=7

x=1, y=14

x=1.5, y=21

x= 2, y=28

Let’s take the first equation.

y = 14x

y = 14(0.5) = 7

When x is 0.5, y is 7.

y = 14(1) = 14

When x is 1, y is 14.

y = 14(1.5) = 21

When x is 1.5, y is 21.

y = 14(2) = 28

When x is 2, y is 28.

Answer:

k=-6

Step-by-step explanation:

Answer:

[tex]\Large \boxed{k=-6}}[/tex]

Step-by-step explanation:

35 = -5(2k+5)

Expand brackets.

35 = -10k - 25

Add 25 on both sides.

60 = -10k

Divide both sides by -10.

-6 = k

Step-by-step explanation:

His profit is 40%.

hope this helps

pls mark me brainliest

Answer:

40 percent i think

Step-by-step explanation:

hope its right

please put me brainlieeeeeeest

thxxx

Answer:

-6723cw

Step by Step:

(-3c * 3w * 5) * 3 - 9c * 6w* 8 - 9c * 9w * 15 - 27c * 6w * 8 - 27c * 9w * 15

Answer:

6

Step-by-step explanation:

If a number and a variable were together in a term, the number would the the coefficient. The coefficient would multiply the variable.

In '6x', the number '6' is the coefficient. '6' would be multiplying 'x'.

The correct answer should be 6.  

Answer:

Below in bold.

Step-by-step explanation:

Let (x, y) be a point on the parabola. As the graph is a parabola, the distance of this point to the focus is equal to the distance of  this point from the directrix. So:

√(( x - 2)^2 + (y - 3)^2) = y - (-1)

Squaring both sides:

(x - 2)^2 + (y - 3)^2 = (y + 1)^2

x^2 - 4x + 4 + y^2 - 6y + 9  = y^2 + 2y + 1

x^2 - 4x  + 4 + 9 - 1 = 2y + 6y

8y = x^2 - 4x + 12

y = 1/8(x^2 - 4x + 12)

or we can write it as

y = 1/8x^2 - 1/2 x + 3/2.

Answer:

26 units

Step-by-step explanation:

Answer:

657.88 i guess becuz by using pythagoras i got 320 for the hypotenous