Answer:
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above and solve for P
Answer:
f(g(x)) = 2(x^2 + 2x)^2
f(g(x)) = 2x^4 + 8x^3 + 8x^2
Step-by-step explanation:
Given;
f(x) = 2x^2
g(x) = x^2 + 2x
To derive the expression for f(g(x)), we will substitute x in f(x) with g(x).
f(g(x)) = 2(g(x))^2
f(g(x)) = 2(x^2 + 2x)^2
Expanding the equation;
f(g(x)) = 2(x^2 + 2x)(x^2 + 2x)
f(g(x)) = 2(x^4 + 2x^3 + 2x^3 + 4x^2)
f(g(x)) = 2(x^4 + 4x^3 + 4x^2)
f(g(x)) = 2x^4 + 8x^3 + 8x^2
Hope this helps...
The difference in elevation between the bottom of the canyon and the bird's nest is 947 1/2 feet
<h3>What is the difference in elevation between the bottom of the canyon and the bird's nest?</h3>
The given parameters are:
Nest = 71 4/5 feet above the seal level
Bottom of canyon = 875 7/10 below sea level
Below sea level means negative
So, we have:
Nest = 71 4/5 feet
Bottom of canyon = -875 7/10
The difference in elevation between the bottom of the canyon and the bird's nest is calculated as
Difference = |Nest - Bottom of canyon|
This gives
Difference = |71 4/5 - (-875 7/10)|
Evaluate the difference
Difference = |947 1/2|
Remove the absolute bracket
Difference = 947 1/2
Hence, the difference in elevation between the bottom of the canyon and the bird's nest is 947 1/2 feet
Read more about depth at:
brainly.com/question/17147411
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