Answer:
Step-by-step explanation:
Loan APR is 5.535%
Loan information:
Mortgage amount:
$125,000
Term in years:
Interest rate:
5.3%
Monthly payment:$694.13
To find the area of the cylinder we need to find its volume first. Remember that the formula for the volume of a cylinder is

where:

is the volume

is the radius

is the height
From the question we know that

and

. Lets replace those values in our volume formula:

Now we can solve for

to find our radius:




Now that we know the radius, we can use the formula for the area of a cylinder

where:

is the area

is the radius

is the height
We know now that

and

, so lets replace those values in our area formula:



We can conclude that the area of a cylinder that has a volume of 175 cubic units and a height of 7 units is
174.07 square units.
Answer:
(12/5)m^3
Step-by-step explanation:
It's easier for most of us to write out a fraction / ratio without the " / " symbol:
48m^7
------------
20 m^4
Separate the coefficients from the powers of m:
48 m^7
----- * -------- Now let's reduce each fraction separately:
20 m^4
48/20 = 12/5, and
(m^7) / (m^4) = m^(7-4) = m^3
... so that our final answer is (12/5)m^3.
Answer:
The slope of this parallel line is 3.
Step-by-step explanation:
Parallel lines have the same slope. The given line y = 3x - 2 has the slope 3. Therefore the desired parallel line also has the slope 3. This is all that is necessary to answer this question.
The slope of this parallel line is 3.
Answer:
10 centimeters.
Step-by-step explanation:
First, we need to remember what's the formula to get the volume of a rectangular solid and a cube.
The volume of the first equals:
Volume = Length x Width x Height
While the volume of the cube is:
where a is the edge.
We are given the measures of the rectangular solid so we can calculate its volume:
cubic cms.
Now, we know that both the volume of the rectangular solid and the cube are the same so we will use this information to calculate the edge of the cube.
![1000=a^3 \\\sqrt[3]{1000} =\sqrt[3]{a^3} \\10=a](https://tex.z-dn.net/?f=1000%3Da%5E3%20%5C%5C%5Csqrt%5B3%5D%7B1000%7D%20%3D%5Csqrt%5B3%5D%7Ba%5E3%7D%20%5C%5C10%3Da)
Thus the length of an edge of the cube is 10 centimeters