A) After college graduation, Emma will have $7,312.16.
b) Emma's account earned $3312.16.
<u>Answers with step-by-step explanation:</u>
1. Area of sector 1 = 
2. Area of sector 2 = 
3. Area of sector 3 = 
4. Area of sector 4 = 
5. Arc length of sector 1 = 
6. Arc length of sector 2 = 
7. Arc length of sector 3 = 
8. Arc length of sector 4 = 
C = (5,4)
D = (4,2)
Dilation with factor 8 => for the same x, y increase by a factor of 8
=> C' = (5, 8*4) = (5, 32)
=> D' = (4, 8*2) = (4, 16)
slope of C'D' = [32 - 16] / [5 -4 ] =16
You can also see that the slope of CD = [4 - 2] / [5 - 4] = 2
Then, the new slope is 8 times the old slope, this is it was multiplied by the same factor, 8.
Answer: 16
To answer this question we need to use subtraction.
we need to make the denominators the same.
In order to make them the same we need to find the least common multiple, of 8 and 5.
The least common multiple(the smallest shared value of the two numbers) is 40.
Next we divide our old denominator 5 by 40, which gives us 8, we multiply 8 by the numerator 2, which gives us 16. So now we have 16/20. We have to do the same to the other side. 8÷40 = 5. 5 x 3 = 15. Now we have 15/20.
Now we have a brand new equation, 16/40 - 15/40. The answer is 1/40.
In a fraction the answer is 1/40, so Karen rides her bike further.
In decimal form the answer is 0.025.
I hope this helps!
