9514 1404 393
Answer:
$50
Step-by-step explanation:
The compounding period is 1 year, and the period of concern is 1 year. This means the simple interest formula will tell the answer to the question.
I = Prt
I = ($5000)(0.01)(1) . . . . . r = annual rate; t = years
I = $50
The interest earned in the account is $50.
Answer:
1/2 cup per friend
Step-by-step explanation:
He has 1 gallon of fruit sorbet to serve to 32 friends
Note that:
1 US gallon of water (gal) = 16.00 US cups of water (cup)
16 cups/1 gallon x 1 gallon/32 friends
1/2 cup per friend
Problem 1
<h3>Answer:
104 cubic inches</h3>
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Explanation:
The prisms are similar so they have the same shape, but different sizes.
The linear scale factor from small to large is:
large/small = 10/4 = 2.5
Meaning that we multiply each dimension of the smaller prism by 2.5 to get the corresponding side length of the larger prism
4*2.5 = 10
This linear scale factor is then cubed to get the volume scale factor
(2.5)^3 = 15.625
Which tells us:
larger volume = 15.625*(smaller volume)
smaller volume = (larger volume)/15.625
smaller volume = (1625)/15.625
smaller volume = 104 cubic inches
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Problem 2
<h3>Answer: 650 square inches</h3>
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Explanation:
We will go back to the linear scale factor of 2.5
This time, we square it to get (2.5)^2 = 6.25
This is the surface area scale factor.
larger surface area = 6.25*(smaller surface area)
larger surface area = 6.25*(104)
larger surface area = 650 square inches
Answer:- Equilateral triangle has an order 3 rotational symmetry.
Explanation:-
In geometry, a figure has rotational symmetry if it moves onto itself under rotation about an angle at center of rotation.
The order of rotational symmetry is the number of times the shape moves onto itself throughout a rotation of 360°.
An equilateral triangle has all its sides equal with equal interior angle of 60°.
It moves onto itself three times throughout a rotation of 360°.
⇒Equilateral triangle has an order 3 rotational symmetry.
