What does the f(n - 1) represent?
1 answer:
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Given:
f(x) is an exponential function.
To find:
The value of f(0.5), to the nearest hundredth.
Solution:
The general exponential function is
For, x=-0.5,
...(i)
For, x=1.5,
...(ii)
Divide (ii) by (i).
Taking square root on both sides, we get
Putting b=0.882 in (i), we get
Now, the required function is
Putting x=0.5, we get
Therefore, the value of f(0.5) is 23.81.
Answer:
$1,577.74
Step-by-step explanation:
You are going to want to use the continuous compound interest formula, which is shown below.
<em>A = total </em>
<em>P = principal amount </em>
<em>r = interest rate (decimal) </em>
<em>t = time (years) </em>
<em />
First change 3% to its decimal form:
3% -> -> 0.03
Next, we can plug in the values into the equation:
The last step is to subtract 8,000 from 9,577.74:
The total interest earned is $1,577.74
I assume you're asking to solve for the n-th term in the sequence, .
From the given recursive rule,
and by substitution,
Similarly,
The pattern continues, so that we can write the n-th term in terms of the 1st one:
So the first few terms of the sequence are
{10, 12, 14, 16, 18, 20, …}