An arc, a circle and a sphere describe a geometric figure consisting of the set of points in a plane that are the same distance from a given point.
An arc is any two connected sections of the circumference of a circle. Whereas an arc consists of the set of points in a plane that are the same distance from a given point it does not consist ALL the points.
A circle is a simple closed shape in consisting of the set of all points in a plane that are at a given distance from a given point, called the centre of the circle. A circle is a 2-dimensional figure and thus does not contain set of points in the 3-dimensional plane. Hence a circle does not consist ALL the points in a plane that are at a given distance from a given point.
A sphere is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball. Like a circle, which geometrically is an object in two-dimensional space, a sphere is defined mathematically as the set of points that are all at the same distance, r, from a given point, but in three-dimensional space. This distance, r, is the radius of the sphere, and the given point is the center
of the sphere.
Thus, the sphere<span> consists of the set of ALL points in a plane that are the same distance from a given point.</span>
Answer:
The amount that should be in the account after 15 years is $95,321.85
Step-by-step explanation:
According to the given data, we have the following:
monthly amount of $220=R
interest rate is fixed at 2.05%. We require the monthly ineterest rate, hence monthly interest rate= 2.05%/12=0.1708%=0.0017
t=15years×12=180 months
In order to calculate how much should be in the account after 15 years, we would have to use the following formula:
Ap=<u>R(1-(1+i)∧-t)</u>
i
Ap=<u>220(1-(1+0.0017)∧-180)</u>
0.0017
Ap=<u>162,04</u>
0.0017
Ap=$95,321.85
The amount that should be in the account after 15 years is $95,321.85
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Answer:
Step-by-step explanation:
The constant increase every hour indicates a linear correlation, which can be represented by an arithmetic sequence.
The nth term formula is a formula for any specific term you wish to find.
The formula is:
a = starting value of the sequence
d = the common difference (i.e. the difference between any two consecutive terms of the sequence)
n = the value corresponding to the position of the desired term in the sequence (i.e. 1 is the first term, 2 is the second, etc.)
Un = the actual vaue of the the term
In this case:
a = 40
d = 10
And so, the nth term formula is:
Answer: 3/7 is the pocket money he spends on sweets
Step-by-step explanation:
Let the amount student spends be x
He spends 17/35x on transport and fruits
He spends 5/6 (x - 17/35x) on sweets
5/6 * (x -17/35x)
5/6 * 18/35x
= 3/7x
Step-by-step explanation:
The Slope is calculated as the change in y over the change in x so you would need to do 5- (-5) which turns the negative sign to a positive making it 5+5=10 and the same thing with the 2s 2-(-2)=4 so the answer would be 10/4 or 5/2. Willa did the reciprocal.
if it's a multiple chose then the answer is b
hope this helps
