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vlada-n [284]
3 years ago
13

Three years ago, Ava lent her sister $400 to buy some clothes. Today Ava’s sister paid her loan in full with $454. What simple a

nnual interest rate did she pay?
Mathematics
2 answers:
Svetradugi [14.3K]3 years ago
8 0
The answer is 4.5% i made sure it was correct
Leya [2.2K]3 years ago
8 0
4.5 i hope it is correct!


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A circle has a radius of 3. An arc in this circle has a central angle of 20°
Alla [95]

Answer:

The length of the arc is 1.0467

Step-by-step explanation:

First of all to solve this problem we need to use the circumferenc formula of a circle:

c = circumference

r = radius = 3

π = 3.14

c = 2π * r

we replace with the known values

c = 2 * 3.14 * 3

c = 18.84

The length of the circumference is 18.84

Now we have to divide the 20° by the 360​​° that a circle has, to know what part of the circle it represents

20° / 360° = 1/18

Now we multiply this fraction by the circumference and obtain the length of the arc

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4 0
2 years ago
What is the percentage increase of a room that is the size of 96 square feet to a room that is 108 square feet?
katrin [286]

Answer:

12.5% increase OR 112.5% Percentage of Change

Step-by-step explanation:

For this problem consider that our original maximum value is 96 square feet, but our new maximum value is 108 square feet. So to find the change as a percentage (in this case the increase) use the following formula:

Percentage of Change = ( New Maximum / Old Maximum ) * 100

So, let's use this formula to find the percentage change of the room.

Percentage of Change = ( 108 / 96 ) * 100

Percentage of Change = (1.125) * 100

Percentage of Change = 112.5

So the percentage of Change is 112.5%. Note, the old maximum is the point of comparison which is 100%.

So to find the increase, we will do 112.5% - 100% to get 12.5%. Hence, we have a 12.5% increase of a 108 square foot room compared to a room of 96 square feet.

Cheers.

6 0
2 years ago
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