Answer:
Option 4 is correct
Step-by-step explanation:
If the rate is compounded continuously, the formula used to find the future value is:
A= Pe^rt
Where A = Future Value
P= Principal amount
r = interest rate in decimal
t = time
For the given data:
A=?
P = $5000
r = 7% or 0.07
t = 6
Putting values in the above formula
A= 5000e^(0.07 *6)
A = 7609.81
So, Option 4 is correct.
Answer:
(A)EF corresponds to E'F'
(C)∠EDG Is-congruent-to ∠E'D'G'
(D)∠DEF Is-congruent-to ∠D'E'F'
(F)The transformation is a rigid transformation.
Step-by-step explanation:
Given:
- Parallelogram DEFG is mapped to D'E'F'G'
- DEFG and D'E'F'G' have identical side lengths and angle measures.
The following applies:
- EF corresponds to E'F'
- ∠EDG Is-congruent-to ∠E'D'G'
- ∠DEF Is-congruent-to ∠D'E'F'
Now, a rigid transformation is a transformation of the plane that preserves length. Since the two parallelograms have identical side lengths:
- The transformation is a rigid transformation.
Note that a reflection is an isometric transformation. Therefore the statement "The transformation is not isometric" is INCORRECT.
FG and GD are adjacent sides, therefore they may not necessarily be congruent. Thus FG does not corresponds to G'D'
9514 1404 393
Answer:
x = 5
Step-by-step explanation:
We can subtract 3x, add 12, and divide by 4.
7x -12 = 3x +8
4x -12 = 8 . . . . . . . . subtract 3x
4x = 20 . . . . . . . . . . add 12
x = 5 . . . . . . . . . . . . divide by 4
Answer:
Step-by-step explanation:
Answer:
(81+60)+(81+3)= 141 + 84= 225
Step-by-step explanation:
That's basically self-explanatory but I can explain further if you do not understand :-D