Hi there
The formula is
A=pe^rt
A future value?
P present value 4900
E constant
R interest rate 0.055
T time 6 years
A=4,900×e^(0.055×6)
A=6,815.74
Hope it helps
Answer:9
Step-by-step explanation:
<span>One piece is twenty seven inches long. The others are thirty inches, and thirty five inches. Let's say "A" is the shortest piece, and the base for the equation. The next piece is three inches longer, so we have A+3. The longest piece is five inches longer than the second, so we get A+3+5. To solve for "A" we have to simplify. A+(A+3)+(A+3+5)=3A+11. The total length is 92, so 3A+11=92. Subtract 11 from both sides to get "A" by itself: 3A+11+(-11)=92+(-11) to 3A=81. To solve divide both sides by 3: 3AĂ·3=81Ă·3 to A=27. (27)+3=30. (27)+3+5=35. To check, add the sums. 27+30+35=92 : that is a true statement.</span>
9 times 4.25 = 38.25 inches area of a rectangle is length times width
Answer:
- f(x) = x^3
- g(x) = (2x+4)^2
Step-by-step explanation:
There are many ways to decompose h(x) into f(x) and g(x). The main purpose of the exercise seems to be to get you to think about the operations that are performed on x, then divide that list of operations into two parts.
In the function ...
h(x) = (2x +4)^6
the variable x is ...
- multiplied by 2
- 4 is added to the sum
- the sum is raised to the 6th power
Of course, the 6th power can be considered as the cube of a square or the square of a cube, if you like.
In the decomposition shown in the answer above, we have chosen to put most of this list in g(x), including the square of the sum. Then we have made f(x) be the cube of that square.
h(x) = f(g(x)) = (2x+4)^6
When f(x) = x^3, this is ...
h(x) = f(g(x)) = g(x)^3 = ((2x+4)^2)^3
so ...
g(x) = (2x+4)^2 . . . and . . . f(x) = x^3
_____
Other possible decompositions are ...
or
- g(x) = (x+2)
- f(x) = (2x)^6
or
or ... (many others)
