Answer:
based on the given formula the amount calculated is for the beginning of the year.
substituting 1 you get 4500 which is beginning of the year 1 when you deposited.
based on that logic substituting 7 for beginning of year 7 will be
4500 + 6 * 0.02 * 4500
4500 + 540
5040
option A.
Answer:
m<C = 119°
Step-by-step explanation:
Create an equation to find the value of x.
(9x - 26)° = (2x - 12)° + (4x + 43)° (exterior angle theorem of a ∆)
Solve for x
9x - 26 = 2x - 12 + 4x + 43
Add like terms
9x - 26 = 6x + 31
9x - 6x = 26 + 31
3x = 57
Divide both sides by 3
x = 19
✔️m<C = 4x + 43
Plug in the value of x
m<C = 4(19) + 43
m<C = 76 + 43
m<C = 119°
Answer:
The other answer I saw is the same way that I used to explain in my class as well. But, there's an alternative way to reach the answer as well
First thing that we should know is that if there are 'n' units kept in a row, then there are 'n+1' gaps generated by them. So, what we should understand is that when there is no item there is 1 gap, when there is one item there are 2 gaps, and so on.
Let us use that concept here, with a small variation: the 5 shelves are 5 initial gaps. The first book has 5 choices (5 initial gaps) to go to. Once we have placed this book, there are now 6 gaps on which the 2nd book can be placed. After the 2nd book is placed, there are 7 gaps in which 3rd book can be placed, and so on.
So, the total arrangements will be = 5*6*7*...24 [as there are 20 books] = 24P20
Answer:
23 units
Step-by-step explanation:
Since both lines are chords, they're equal in length. This means we can set them equal to each other.
2x + 2x +2 = 15 + 8
This becomes 4x + 2 = 23.
Subtract two from each side to get 4x = 21.
Now divide by 4 to isolate x.
This makes x = 5.25.
Now we take the 5.25 and substitute it into the 2x + 2x + 2. This equals 23 units
