Answer:
a) )12,6)
b) (12,2)
c) (4,-7)
d) (9,-7)
Step-by-step explanation:
a) Dilation
When we dilate, we multiply the given scale factor by each of the coordinates
We have this as follows;
(20 * 3/5, 10 * 3/5) = (12, 6)
2. Here, we will add 5 to the x-axis value and subtract 6 from the y-axis value
We have this as;
(7+ 5, 8-6) = (12,2)
3. By reflecting across the x-axis
we have (x,y) changing to (x,-y)
so we have ;
(4,7) becomes (4,-7)
4. Rotation by 270 degrees (7,9)
If clockwise;
(x,y) becomes (y,-x)
so we have
(7,9) becoming (9,-7)
12/7 + 8/7
12+8 = 20
20/7 = 2 and 6/7ths
Answer:
D to C
Step-by-step explanation:
The radius is half the diameter or the center point to the edge (circumference)
11154/52= 214 1/2 is the answer to this question
Compound interest formula = a=P(1+r/n)^nt
P= lump sum to deposit (solving for)
A= amount accumulated over the entire time (20000)
n= number of times interest is compounded annually (1)
r= rate of interest (0.82)
T= total number of years (15)
20000=P(1+0.082/1)^1*15
20000=P(1.082)^15
20000=P(3.26143638)
20000/3.26143638=P
P=$6132.2674