the object is a circle with a pentagon inside of it each of the sides of the pentagon is a chord of the circle

Answer:

The size of the investment after 40 years is of $74,872.

Step-by-step explanation:

Continuous compounding:

The amount of money, in continuous compounding, after t years, is given by:

[tex]y(t) = y(0)(1+r)^t[/tex]

In which y(0) is the initial investment and r is the interest rate, as a decimal.

You decide to continuously invest $5000 of your income each year in a risk-free investment with a 7% yearly interest rate compounded continuously.

This means that [tex]y(0) = 5000, r = 0.07[/tex]. So

[tex]y(t) = y(0)(1+r)^t[/tex]

[tex]y(t) = 5000(1+0.07)^t[/tex]

[tex]y(t) = 5000(1.07)^t[/tex]

What is the size of your investment after 40 years?

This is y(40), that is, y when t = 40. So

[tex]y(t) = 5000(1.07)^t[/tex]

[tex]y(40) = 5000(1.07)^{40}[/tex]

[tex]y(40) = 74872[/tex]

The size of the investment after 40 years is of $74,872.

Answer:

we have

Cos (a+b)=Cos aCosb-SinaSinb

for

Cos (a+a)=Cos aCosa-SinaSina=Cos²a-Sin²a

is a required answer.

Answer:

15.8% = 16%

Step-by-step explanation:

The change (expected result - actual result):

95-80 = 15

Now we divide it by the expected 95 minutes and multiply by 100 to get a percentage.

15/95*100 = 15.8% = 16%

Answer:

This picture represents soldiers raising the flag after the battle of Iwo Jima.

Step-by-step explanation:

This famous photograph is titled Raising the Flag on Iwo Jima. It shows six soldiers raising the flag after the Battle of Iwo Jima on Mount Suribachi during the final parts of the war in the Pacific.

Answer:

49

Step-by-step explanation:

Answer:6144

Step-by-step explanation:

If f(1)=6f(1)=6 and f(n)=4f(n-1)f(n)=4f(n−1) then find the value of f(6)f(6).

f(1)=

f(1)=

\,\,6

6

f(\color{darkgreen}{2})=

f(2)=

\,\,4f(\color{darkgreen}{2}-1)

4f(2−1)

=

=

\,\,4f(1)

4f(1)

=

=

\,\,4(6)

4(6)

Substitute f(1)=6

f(2)=

f(2)=

\,\,24

24

f(\color{darkgreen}{3})=

f(3)=

\,\,4f(\color{darkgreen}{3}-1)

4f(3−1)

=

=

\,\,4f(2)

4f(2)

=

=

\,\,4(24)

4(24)

Substitute f(2)=24

f(3)=

f(3)=

\,\,96

96

f(\color{darkgreen}{4})=

f(4)=

\,\,4f(\color{darkgreen}{4}-1)

4f(4−1)

=

=

\,\,4f(3)

4f(3)

=

=

\,\,4(96)

4(96)

Substitute f(3)=96

f(4)=

f(4)=

\,\,384

384

f(\color{darkgreen}{5})=

f(5)=

\,\,4f(\color{darkgreen}{5}-1)

4f(5−1)

=

=

\,\,4f(4)

4f(4)

=

=

\,\,4(384)

4(384)

Substitute f(4)=384

f(5)=

f(5)=

\,\,1536

1536

f(\color{darkgreen}{6})=

f(6)=

\,\,4f(\color{darkgreen}{6}-1)

4f(6−1)

=

=

\,\,4f(5)

4f(5)

=

=

\,\,4(1536)

4(1536)

Substitute f(5)=1536

f(6)=

f(6)=

\,\,6144

6144

\text{Geometric Sequence:}

Geometric Sequence:

Common ratio of 4

6,24,96,384,1536,6144, ...

6,24,96,384,1536,6144,...

\text{Final Answer:}

Final Answer:

6144

Solution :

P(2 states or more | college degree)

[tex]$=\frac{\text{P( 2 states or more and college degree)}}{\text{P(college degree)}}$[/tex]

Total number of people = 58

The number of people who lived in two states or more than two states and also have a college degree = 18

Therefore,

[tex]$\text{P(2 states or more states and college degree)} = \frac{18}{58}$[/tex]

The number of people who have a college degree = 20

So, [tex]$\text{P(college degree)} = \frac{20}{58}$[/tex]

Thus,

[tex]$\text{P(2 states or more/college degree)}=\frac{\frac{18}{58}}{\frac{20}{58}}$[/tex]

                                                      [tex]$=\frac{18}{20}$[/tex]

                                                      = 0.900  

40% = 40/100 = 2/5

2/5×25 = 10....

Answer:

-2.6, -2.16, 0.58, 0.8, 5.1

Step-by-step explanation:

Answer:

D) -2.6, -2.15,0.58,0.8, 5.1

Step-by-step explanation:

Answer:

11 hours

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

3.24538 is rational

Answer:

A. -2

Step-by-step explanation:

Hope this helps

Answer:

A)

Step-by-step explanation:

[tex]x+62=60[/tex]

[tex]-2+62=60[/tex]

Answer:

Mr. Jones paid $192 in sales tax.

Step-by-step explanation:

8 x 2400 = 19200

19200/100 = 192

Answer:

the correct answer is 8.

Answer:

n = 8

Step-by-step explanation:

1/2(n + 4) = 6

1/2n + 2 = 6

1/2n (+ 2 - 2) = 6 - 2

1/2n = 4

(2/1)1/2n = 4(2)

n = 8

CHECK WORK:

1/2(8 + 4) = 6

1/2(12) = 6

6 = 6

Answer:

A, B and C are on the graph

Step-by-step explanation:

Just plug the values into  y = -x - 5 and see if the y are equal

A ( -5, 0)

0 = 5 - 5

0 = 0         

B (4, -9)

-9 = -4 - 5

-9 = -9

C (-2, -3)

-3 = 2 - 5

-3 = -3

D (3. -2)

-2 = -3 - 5

-2 = -8

Answer:

Step-by-step explanation:

8^2 + 15^2 = ?

64 + 225 = 17^2

289 = 289

[tex]\sqrt{289} = \sqrt{289\\} \\ 17 = 17[/tex]

Answer:

6

Step-by-step explanation:

e = number of elephants

9 times as many monkeys as elephants

m = 9e

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

60 animals all together

e + m = 60

e + 9e = 60

Combine like terms

10e = 60

Divide both sides by 10

e = 6

Answer: There’s technically no answer to this question, unless you specify that the zoo only has monkeys and elephants. If the zoo has more than two types of animal then the ratio doesn’t help because there are unknown variables.

However, if we knew that the zoo only has monkeys and elephants, then:

E = number of elephants

M = number of monkeys

M=9E

M + E = 60

9E+E= 60

10E = 60

E = 6

There are 6 elephants (and 54 monkeys).

Answer:

This ball holds 904.78 cubic inches of air.

Step-by-step explanation:

Volume of the ball:

A ball has a spherical format. The volume of a sphere is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

In which r is the radius, which is half the diameter.

Val measures the diameter of a ball as 12 inches.

This means that [tex]d = \frac{12}{2} = 6[/tex]

How many cubic inches of air does this ball hold?

[tex]V = \frac{4\pi r^3}{3}[/tex]

[tex]V = \frac{4\pi*6^3}{3}[/tex]

[tex]V = 904.78[/tex]

This ball holds 904.78 cubic inches of air.

Answer:

Your correct answer is C. y = 1

Hoped this helped!

briniliest, pls?

Answer:  Last one is right  C = 5 / 9 (F-32)

Step-by-step explanation: Solving  C from equation F = (9/5)C + 32 :

1. multiply by 5     you get   5F = 9C + 160  and 5(F-32) = 9C

2. divide by 9 you get (5/9) (F-32) = C

Answer:

510

Step-by-step explanation:

17% of 3000 would be 17 in 30 hundreds, think about it that way

Answer:

D. 9

Step-by-step explanation:

When you add 1 + 4 + 5 + 5 + 5 + 6 + 9 + 10 + 10 + 11 + 12 + 12 + 15 + 15 + 15 = 135. Which is all of the numbers given to you, and since mean is when you add all of the numbers together, and than divide it by the amount of numbers there, you will take that 135 and divide it by 15. 135 / 15 = 9. Which gets you to finally getting an answer of 9. so D. 9 is correct.

Answer:

C. 8.5

Step-by-step explanation:

Answer: the answer is 2/8/2

Step-by-step explanation:

9514 1404 393

Answer:

  B) obtuse

Step-by-step explanation:

I like to answer these questions using a "form factor" (f) computed as ...

  f = a² + b² - c² . . . . . . . where a, b, c are side lengths with c the longest

Then ...

  f = 9² +12² -17² = 81 +144 -289 = -64

The negative value indicates an obtuse triangle (largest angle more than 90°).

__

f = 0 indicates a right triangle; f > 0 indicates an acute triangle.

_____

Additional comments

You may recognize that the two short sides have the ratio 9:12 = 3:4. You know a (3, 4, 5) triangle is a right triangle, so this triangle would be a right triangle if the longest side were 15. Since it is 17, you know the largest angle is more than 90°.

This "form factor" is related to the angle computation you would do to find the measure of the largest angle using the law of cosines. That angle is ...

  C = arccos(f/(2ab)) = arccos(-64/216) ≈ 107.2°

Since the factor (2ab) is always positive, the sign of "f" tells you the sign of the cosine of the angle. It is negative for angles greater than 90°.

Answer:

A

Step-by-step explanation:

because it's right and you'll get it right so it is a

Answer: Im not sure about a, but maybe d

Step-by-step explanation:

Answer:

2/3 = 16/24

5/8 = 15/24

Step-by-step explanation:

2/3= 16/24

5/8= 15/24

because if you multiply across [tex]\frac{2}{3}[/tex] by [tex]\frac{8}{8}[/tex] equal [tex]\frac{16}{24}[/tex]

and if you multiply across [tex]\frac{5}{8}[/tex] by [tex]\frac{3}{3}[/tex] equal [tex]\frac{14}{24}[/tex]

Answer:

114ft

Step-by-step explanation:

3 times 3=9

9times 2=18

8 times 3=24

24 times 2=48

8 times 3 = 24

24 times 2 =48

48+48+18=114