Answer:
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Interest paid after 30 years is $494,546.99.
Solution:
Principal (P) = $195,000
Interest rate (r) = 4.3%
Time (t) = 30 years
n = number of times interest calculated per year
n = 1
Compound interest formula:
where A is the final amount
A = 689546.99
Interest = Amount - Principal
= 689546.99 - 195000
= 494546.99
Interest paid after 30 years is $494,546.99.
Answer:
169.04 in² (nearest hundredth)
Step-by-step explanation:
Surface area of a cone = 
r² + r
(where r = radius of the base and = slant height)
Given slant height = 10 and surface area = 188.5
Surface area = r² + r
188.5 = r² + 10r
r² + 10r - 188.5 = 0
r = 
= 4.219621117...
Volume of a cone = (1/3)r²h
(where r = radius of the base and h = height)
We need to find an expression for h in terms of using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height
r² + h² = ²
h² = ² - r²
h = √(² - r²)
Therefore, substituting found expression for h:
volume of a cone = (1/3)r²√(² - r²)
Given slant height = 10 and r = 4.219621117...
volume = 169.0431969... = 169.04 in² (nearest hundredth)
Answer:If you are using a calculator, simply enter 770×100÷70, which will give you the answer.
Step-by-step explanation:
The wrong statement in Viktor's summary is When a round solid ball is placed in a box, the ball takes the shape of the box
The matter has three main states which are
These states define the way we interact and manipulate materials. For instance:
- Liquids take the shape of the container that contains them. For example water, milk, soda, among others.
- Solids have a defined shape and do not deform when manipulated or placed inside another container. For example, a round solid ball.
- Gases generally do not have colors and their atoms are not organized so they do not have a definite shape and take the shape of their container. For example, the air in a balloon.
According to the above, the error in Viktor's summary is in the first phase, and the correct statement is A. because solids does not take the shape of its container.
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