Answer:
It is the graph of g(x) shifted 5 units right and 2 units down.
Step-by-step explanation:
Given : f(x)=log_2(x−5)−2
the parent function g(x)=log_2(x)
To get f(x) , 5 is subtracted from x
If we add any number with x then we shift left
If we subtract any number from x then we shift right
Here 5 is subtracted from x , so we shift 5 units right
Also -2 at the end
If we add any number at the end , then we shift up
if we subtract any number at the end , then we shift down
Here 2 is subtracted at the end , so we shift 2 units down
It is the graph of g(x) shifted 5 units right and 2 units down.
Answer: he invested $46062.5 at 6% and $23031.25 at 10%
Step-by-step explanation:
Let x represent the amount which he invested in the account paying 6% interest.
Let y represent the amount which he invested in the account paying 10% interest.
He puts twice as much in the lower-yielding account because it is less risky.. This means that
x = 2y
The formula for determining simple interest is expressed as
I = PRT/100
Considering the account paying 6% interest,
P = $x
T = 1 year
R = 6℅
I = (x × 6 × 1)/100 = 0.06x
Considering the account paying 10% interest,
P = $y
T = 1 year
R = 10℅
I = (y × 10 × 1)/100 = 0.1y
His annual interest is $7370dollars. it means that
0.06x + 0.2y = 7370 - - - - - - - - - -1
Substituting x = 2y into equation 1, it becomes
0.06 × 2y + 0.2y = 7370
0.12y + 0.2y = 7370
0.32y = 7370
y = 7370/0.32
y = $23031.25
x = 2 × 23031.25
x = 46062.5
Answer: The answer is: C.
~ i hope this is correct, if not im sorry, have a gr8 day my friend!~
Step-by-step explanation:
Answer:
C. 56°
Step-by-step explanation:
An isosceles triangle has two sides that are equal. ∆ABC has two equal sides. Thus, the angles opposite the two sides of an isosceles triangle are also congruent to each other.
<C and <A are congruent to each other.
m<A = 56°, therefore,
m<C = 56°
