Volume = (pi)(
(height)
$Cost = ($0.09)(3.14)(9*9)(9.5) = $217.4607
$Cost = ($0.09)(3.14)(9*9)(9.5) = $217.4607
Which types of transformations do not change the shape of a graph?
1 answer:
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The Height of the ceiling at the center is 57.6628 feet
In geometry, an ellipse is a two-dimensional shape, that is defined along its axes. An ellipse is formed when a cone is intersected by a plane at an angle with respect to its base.
It has two focal points. The sum of the two distances to the focal point, for all the points in curve, is always constant.
The General form of ellipse is
According to the question,
Length of whispering gallery is 130 feet
The foci are located 30feet from the center (0,0)
So, 2a = 130
=> a = 130/2
=> a = 65
and c = 30
As we know ,
=> c² = a² - b²
=> (30)² = (65)² - b²
=> 900 = 4225 - b²
=> b² = 4225 - 900
=> b² = 3325
=> b = 57.7 feet
Therefore , the height of the ceiling at the center is 57.6628 feet
To know more about Ellipse here
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Using simple interest, and considering a loan of $5,000, it is found that:
a) Her monthly payment is of $74.17.
b) She will pay back $8,900.
c) The total interest amount is of $3,900.
The amount of money after <u>t years</u> in <em>simple interest</em> is modeled by:
In which:
- A(0) is the initial amount.
- r is the interest rate, as a decimal.
In this problem:
- The loan is of $5,000, hence
.
- The APR is of 7.8%, hence
- 10 years, hence
Item b:
She will pay back $8,900.
Item a:
$8,900 will be paid in 10 x 12 = 120 months, hence:
Her monthly payment is of $74.17.
Item c:
<u>Loan of $5,000, pays back $8,900</u>, hence:
8900 - 5000 = 3,900
The total interest amount is of $3,900.
A similar problem is given at brainly.com/question/13176347