Answer:
9 1/3 feet (I think)
Step-by-step explanation:
I imagined it as a grid.
Your friend moves to point (16,12)
You move to point (-12,9)
Then you set up your equation and solve.

9 1/3
Hope this helps :)
First of all, we need to know the coordinate of ABCD and A'B'C'D', so the coordinate of ABCD will be:
A(-3,5)
B(-1,2)
C(-2,-1)
D(-5,-3)
Then, coordinate of new figure will be:
A'(-7,8)
B'(-5,5)
C'(-6,2)
D'(-9,0)
Next,
Let's try all the translations:
(x,y) to (x+4,y+3)
A(-3,5) to A'(-3+4, 5+3)
A(-3,5) to A'(1,8)
Which is not right because A' need to be (-7,8)
(x,y) to (x-4,y+3)
A(-3,5) to A'(-3-4,5+3)
A(-3,5) to A'(-7,8)
B(-1,2) to B'(-1-4,2+3)
B(-1,2) to B'(-5,5)
C(-2,-1) to C'(-2-4,-1+3)
C(-2,-1) to C'(-6,2)
D(-5,-3) to D'(-5-4,-3+3)
D(-5,-3) to D'(-9,0)
Yay, we found the answer. As a result, (x,y) to (x-4,y+3) is your final answer. Hope it help!
She needs to put now $8190.0 into the account
Step-by-step explanation:
The formula of the future value of the compounded monthly interest is
, where
1. FV is the future value
2. P is the money invested
3. r is the annual rate in decimal
4. n is the period of time
5. t is the number of years
Janet wants to invest a sum of money that will grow to $10,000 in five
years, into an account that pays 4% interest per year, compounded
monthly
∵ FV = $10,000
∵ r = (4/100) = 0.04
∵ n = 12 ⇒ compounded monthly
∵ t = 5 years
- Substitute these values in the formula above
∴ 
∴ 
∴ 10,000 = P(1.220996594)
- Divide both sides by 1.220996594
∴ P = $8190.0
She needs to put now $8190.0 into the account
Learn more:
You can learn more about interest in brainly.com/question/12773544
#LearnwithBrainly
Answer:1260 in ^3
Step-by-step explanation:
Volume of cubiod= l x b x h
L=12
B= 5
H=21
Volume = 12 x5 x 21
Volume = 1260 in ^ 3