Answer: Pearl
Step-by-step explanation:
In step 2, she justified her step by the definition of vertical angles. However, angles AKL and GKB do not share a common side, meaning they are not adjacent angles.
Group like terms
7d-14d+12-3
add them
-7d+9
The amount of interest saved by the borrower is $62.61
Step-by-step explanation:
1. To calculate rate of 36 monthly payments,
Principal = $4200
Rate = r%
Time = 
= 3 years
Interest = $141.17
Formula for calculating interest is,
Interest = 
141.17 = 
141.17 x 100 = 12,600 x r
r = 
r = 1.12%
2. To calculate interest of 20 monthly payments,
Principal = $4200
Rate = 1.12%
Time = 
= 1.67
Interest = I
Formula of interest --> I =
I = 
I = 
I = $78.56
3. Amount of Interest saved = Interest of 36 monthly payments - Interest of 2- monthly payments
Interest saved = 141.17 - 78.56
Interest saved = $ 62.61
Therefore, the amount of interest saved is $62.61
Keywords: Interest rate
Learn more about interest rate at:
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We just need to make the fractions equivalent, if you take 3/5 and put it in tenths you get 6/10. Which means that the oldest brother has 6/10 the youngest has 1/10 and because we can add those two together and subtract from the total we get the middle brothers amount, 3/10 of the money. Multiply the fractions by the 108 total to get the amount of money that each person has.
6/10*108=64.8
3/10*108=32.4
1/10*108=10.8
To make sure the answers are correct add the values together. 64.8+32.4+10.8=108
The eldest brother has $64.80, the second eldest has $32.40 and the youngest has $10.80.
Answer:
36⁷- 26⁷ = 70332353920 passwords.
Step-by-step explanation:
Number of digits 0-9 = 10
Number of lowercase letters a-z = 26
We have to find different passwords of length 7 that contain only digits and lower-case letters.
Total number of characters = 26 lowercase letters + 10 digits
= 36
The total number of length 7 passwords without restrictions = 36⁷
= 78364164096
The number of length 7 passwords with no digits (only lowercase letters)
= 26⁷
= 8031810176
Now the restriction here is that the password must contain at least 1 digit. This can be computed by subtracting the number of length 7 passwords with no digits from total number of length 7 passwords.
Number of length 7 passwords with restriction (at least one digit) = 36⁷- 26⁷
= 36⁷- 26⁷
= 78364164096 - 8031810176
= 70332353920
So the number of different passwords that contain only digits and lower-case letters and satisfy the given restrictions that length is 7 and the password must contain at least one digit = 70332353920
