Answer:
if i;m right its 45 degrees
Step-by-step explanation:
Given:
A student says that the graph of the equation
is the same as the graph of
, only translated upwards by 8 units.
To find:
Whether the student is correct or not.
Solution:
Initial equation is


Equation of after transformation is


Now,
...(i)
The translation is defined as
...(ii)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
From (i) and (ii), we get

Therefore, the graph of
translated left by 8 units. Hence, the student is wrong.
130-51 is 79 this is it D
Answer:
20 years
Step-by-step explanation:
We start by writing an exponential equation;
FV = PV( 1 + r)^t
FV is the future value = 1,000,000
PV is present value = 372,000
r is rate = 5% = 5/100 = 0.05
t is time which we are looking for
1,000,000 = 372,000(1 + 0.05)^t
1.05^t = 1,000,000/372,000
1.05^t = 2.688
t ln 1.05 = ln 2.688
t = ln 2.688/ln 1.05
t = 20 years