Which of the following best represents the slope of the line? A. -3 B. - 1 3 C. 1 3 D. 3

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.

i think there is a trick so the 3 nbs are 9+11+13=33

How's that we need 30

if we flip 9 we get 6

so the answer would be 6+11+13=30

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:

c. 70ft²

Step-by-step explanation:

Area of wall needed to be painted

= (12×8) - (2×2×2) - (3×6)

= 96 - 8 - 18

= 70ft²

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:

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:

5.0 =x

Step-by-step explanation:

Since this is a right triangle

tan theta = opp side/ adjacent side

tan 50 = x / 4.2

4.2 tan 50 = x

5.005365089 =x

Rounding to the nearest tent

5.0 =x

40% = 40/100 = 2/5

2/5×25 = 10....

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

Answer:

(12, 0)

Step-by-step explanation:

The centre of the circle is at (4, 0) and the radius = √64 = 8.

So one point on the circle is at ((4 + 8), 0) = (12,0).

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:

-64

Step-by-step explanation:

it's -64 the calculator works with the problem

Answer:

A

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

8^2 + 15^2 = ?

64 + 225 = 17^2

289 = 289

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

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:

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:

7m

Step-by-step explanation:

18/6 = 3

24/8 = 3

21/x = 3

21/3 = 7

x = 7

9514 1404 393

Answer:

  consistent, independent

Step-by-step explanation:

Systems of equations are most easily classified these ways if the equations are in the same form. If we solve the second equation for y, we have ...

  y = x - 1

The x-coefficients of this and the first equation are different, so the system is consistent and independent.

__

A system is independent if the equations describe different lines.

A system is inconsistent if the equations describe parallel lines.

Here, the different lines are not parallel, so the system is independent and consistent.

Answer: No.

Step-by-step explanation:

The reason why it is not enough is that 0.45 kilograms is 450 grams, and when you divided 450 by 9, you get 50, which is 10 less than 60. Therefore, 1 bottle of spice is not enough for 9 weeks.

Answer:

No

Step-by-step explanation:

Half of a kilogram or 0.5 is 500 grams.

The total grams for nine weeks (60 x 9) is 540

Since Martha bought a 0.45 kilogram bottle, which is less than a half, she doesn't have enough of the spice.

Martha would need a 0.54 kilogram bottle to have the right amount.

Answer:

we have

Cos (a+b)=Cos aCosb-SinaSinb

for

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

is a required answer.

Answer:

yes

Step-by-step explanation:

3.24538 is rational

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:

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

C=2 pie r

81.3/2pie=r

R=12.94

D=2r

D= 25.88