Answer:
Amount of retained earnings at the end of Year 1 was $8,550
Step-by-step explanation:
In Year 1
net income= $21,100
dividends = $12,550
In Year 2
Net income = $35,100
Paid dividends = $5,550
At the end of Year 1, the company had total assets of $161,000
At the end of Year 2, the company had total assets of $ $251,000
Retained Earning at the end of Year 1 = Opening balance + Net Income - Dividend paid
Retained Earning at the end of Year 1 = 0 + 21,100 - 12,550 = 8550
Answer:
-3x^2 - 21x
Step-by-step explanation:
This question is representing multiplying two functions :
We are finding f(x) * g(x)
We know that f(x) is -3x and g(x) is x + 7, therefore :
(-3x)(x + 7)
Follow FOIL :
First :
(-3x)(x)
-3x^2
Outer :
(-3x)(7)
-21x
Therefore the answer is :
-3x^2 - 21x
The equation is 18+2.50h=12+3.75h
The total cost of the services will be equal at 4.8 Hours
Answer:
g(x) = x+1
Step-by-step explanation:
Informally, you can see that the function h(x) takes the root of a value that is 1 more than the value under the same radical in f(x). This suggests that adding 1 to x in f(x) will give you h(x). That is, ...
h(x) = f(x+1) = f(g(x))
so
g(x) = x+1
_____
More formally, you can apply the inverse of the function f(x) to the equation ...
h(x) = f(g(x))
f^-1(h(x)) = f^-1(f(g(x))) . . . inverse function applied
f^-1(h(x)) = g(x) . . . . . . . . . simplified
Now f^-1(x) can be found by solving for y in ...
x = f(y)
x = ∛(y+2) . . . . . . . . . definition of f(y)
x^3 = y+2 . . . . . . . . . cube both sides
x^3 -2 = y = f^-1(x) . . . subtract 2 from both sides
So, f^-1(h(x)) is ...
f^-1(h(x)) = g(x) = (∛(x+3))^3 -2 = x+3 -2
g(x) = x+1
True, because without the preparation for retirement, there will be nowhere to store retirement funds.
