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Zigmanuir [339]
3 years ago
13

What is 145000(1 + 5.8%/12) ^ (12 •15)

Mathematics
1 answer:
inessss [21]3 years ago
7 0

Answer:

345377.489968

Step-by-step explanation:

145000(1+

5.8

100

12

)(12)(15)

=145000(1+

0.058

12

)(12)(15)

=145000(1+0.004833)(12)(15)

=145000(1.004833(12)(15))

=145000(1.004833180)

=(145000)(2.381914)

=345377.489968

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A cone of radius 10 cm and height 16 cm is divided into two parts by a plane through the midpoint of its
bazaltina [42]

Answer:

The ratio of their volumes (the top to bottom half) is 1/7

Step-by-step explanation:

The given parameters are;

The radius, r, of the cone = 10 cm

The height of the cone = 16 cm

The point at which the cone is divided = The midpoint of the its axis and parallel to its base

The ratio of the of the volume of the two parts is given as follows;

The volume, V of the entire cone = 1/3 × Base area (π·r²) × Height, h

Therefore;

V = 1/3 × π × 10² × 16 =1600·π/3 =  1675.52 cm³

The height at which the cone is divided = 16/2 = 8 cm

The height, h₁ of the uppermost divided cone = 8 cm

The ratio of the radius to the height of the cone = 10/16 = 5/8

The radius r₁, of the uppermost divided cone = The height of the uppermost divided cone × The ratio of the radius to the height of the cone

∴ r₁ = 8 × 5/8 = 5 cm

The volume, V₁, of the uppermost divided cone = 1/3 × (π·r₁²) × h₁

∴ V₁ = 1/3 × π × 5² × 8 = 200·π/3 = 209.44 cm³

Which gives;

The volume of the lower cone, V₂ =  V - V₁

V₂ =  1675.52 cm³ - 209.44 cm³ = 1400·π/3 = 1466.1 cm³

The ratio of their volumes V₁ : V₂ = V₁/V₂ = (200·π/3)/(1400·π/3) = 209.44/1466.1 = 1/7.

7 0
3 years ago
Use the graph of the parabola to identify the domain and range of the function.
LekaFEV [45]

Answer:

B

Step-by-step explanation:

It's domain is side from side and so it can't be c or d. and it range goes to a positive number so it has to be B.

8 0
3 years ago
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Help with these problems please, DUE T O D A Y !!!! I’ll try to make you guys brainlist who ever answers first
Makovka662 [10]

Answer:

19) n = -14

20) x = 4

21) b= -14

22) x = 2

23) x = -1

24) x = -9

Step-by-step explanation:

19) Use the distributive property to get rid of the parentheses. You will get:    20-4n = 76. So, n = -14.

20) Multiply both sides of the equation by 2 to get: -8 + x = -4. So, x = 4

21) Add 3 to both sides to get: \frac{b}{14} = -1. So, b = -14

22) Use the distributive property to get rid of the parentheses. You will get: -40 - 5x = -50. Then, add 40 to both sides to get: -5x = -10. So, x = 2.

23) Use the distributive property to get rid of the parentheses. You will get: -72 = -64 + 8x. Then, add 64 to both sides to get: -8 = 8x. So, x = -1

24) Add 2 to both sides to get: \frac{x}{3} = -3. So, x = -9

Hope this helps :)

4 0
3 years ago
What numbers will i multiply to get 126 and add to get 2​
nekit [7.7K]
No two numbers will work for this.
5 0
3 years ago
Find the area of the circle.<br> Use 3.14 for pi
Harman [31]
Answer:

530.66 cm^2

Explanation:

Equation: 3.14•13^2

13^2= 169

3.14•169= 530.66

6 0
3 years ago
Read 2 more answers
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