You are seeking to be emancipated from your parents. You are
1 answer:
It will take 20 months for the cost to be same.
Step-by-step explanation:
Apartment A;
Security deposit = $1000
Each month cost = $1200
Let,
x be the number of months.
A(x) = 1000 + 1200x
Apartment B;
Security deposit = $1500
Each month cost = $1175
B(x) = 1500 + 1175x
The cost will be same when the functions are equal, therefore,
A(x) = B(x)
Dividing both sides by 25
It will take 20 months for the cost to be same.
Keywords: function, division
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Answer:
The constant of variation is 3
Step-by-step explanation:
Given.
And y is directly related to x
∝
Here k is constant of variation
--------------(1)
Put the and
value in equation 1.
So, the constant of variation is 3.
Volume of a sphere and a cone
We have that the equation of the volume of a sphere is given by:
We have that the radius of a sphere is half the diameter of it:
Then, the radius of this sphere is
r = 6cm/2 = 3cm
<h2>Finding the volume of a sphere</h2>We replace r by 3 in the equation:
Since 3³ = 3 · 3 · 3 = 27
If we use π = 3.14:
Rounding the first factor to the nearest hundredth (two digits after the decimal), we have:
4.18666... ≅ 4.19
Then, we have that:
Then, we have that:
<h2>Finding the volume of a cone</h2>We have that the volume of a cone is given by:
where r is the radius of its base and h is the height:
Then, in this case
r = 3
h = 6
and
π = 3.14
Replacing in the equation for the volume:
Then, we have:
3² = 9
Answer: the volume of the cone that has the same circular base and height is 56.52 cm³