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marta [7]
3 years ago
7

 14

Mathematics
1 answer:
tatyana61 [14]3 years ago
4 0
We can display the information given as an equation:
2000 * r^{19} = 4000; r = increase per annum
Now, we rearrange and solve for r:
r^{19} = 2
r = \sqrt[19]{2} = 1.037.....
We can now work out the increase for 5 years like so:
2000 * r^{5} = 2400.205..... ⇒ $2400
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Complete the table below using the Midpoint and Distance Formulas.
Zielflug [23.3K]

Answer:

Coordinates of M = (2, -1)

Length of AB = 10 units

Step-by-step explanation:

Coordinates of the midpoint (M) of the distance between A(2, 4) and B(2, -6)

M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})

Let A(2, 4) = (x_1, y_1)

B(2, -6) = (x_2, y_2)

Thus:

M(\frac{2 + 2}{2}, \frac{4 +(-6)}{2})

M(\frac{4}{2}, \frac{-2}{2})

M(2, -1)

Length of AB:

Distance between A(2, 4) and B(2, -6):

AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

A(2, 4) = (x_1, y_1)

B(2, -6) = (x_2, y_2)

AB = \sqrt{(2 - 2)^2 + (-6 - 4)^2}

AB = \sqrt{(0)^2 + (-10)^2}

AB = \sqrt{0 + 100} = \sqrt{100}

AB = 10

5 0
3 years ago
What is the vertex?? Please answer QUICK!
astra-53 [7]

Answer:

D

Step-by-step explanation:

To obtain vertex form from the given equation use the method of completing the square

given 8y + x² = - y² - 181 + 26x

rearrange having the x terms and y terms together

add y² to both sides

8y + x² + y² = - 181 + 26x ( subtract 26x from both sides )

x² - 26x + y² + 8y = - 181

add (half the coefficient of the x/y terms )² to both sides

x² + 2(- 13)x + 169 +y² + 2(4)y + 16 = - 181 + 169 + 16

completing the square on both the x and y terms

(x - 13)² + (y + 4)² = 4 → D


5 0
3 years ago
The diameter of a sphere is 6 ft. Find the exact volume of the sphere.
OleMash [197]

Answer:

V ≈ 113.1ft³

Step-by-step explanation:

the answer is V ≈ 113.1ft³.

I hope this helps you.

6 0
3 years ago
Read 2 more answers
Richard can make 8 dough balls in two hours. If the amount of time is directly proportional to the number of dough balls, how ma
Sergio039 [100]

Answer:

4.5 hours

Step-by-step explanation:

8:2h = 18:x

8x = 18×2h

x = 36h/8

x = 4.5

hope this helps :)

8 0
3 years ago
Water has a freezing point of 32 degrees. Murcury has a freezing point that is 70 degrees lower. What is the freezing point of m
Mekhanik [1.2K]

Answer:

-38 degrees

Step-by-step explanation:

32-70

= -38

8 0
3 years ago
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