<span>Simplifying
9e + -7 = 7e + -11
Reorder the terms:
-7 + 9e = 7e + -11
Reorder the terms:
-7 + 9e = -11 + 7e
Solving
-7 + 9e = -11 + 7e
Solving for variable 'e'.
Move all terms containing e to the left, all other terms to the right.
Add '-7e' to each side of the equation.
-7 + 9e + -7e = -11 + 7e + -7e
Combine like terms: 9e + -7e = 2e
-7 + 2e = -11 + 7e + -7e
Combine like terms: 7e + -7e = 0
-7 + 2e = -11 + 0
-7 + 2e = -11
Add '7' to each side of the equation.
</span><span>Combine like terms: -7 + 7 = 0
0 + 2e = -11 + 7
2e = -11 + 7
</span><span>Combine like terms: -11 + 7 = -4
2e = -4
Divide each side by '2'.
e = -2
Simplifying
e = -2</span>
Answer:
$14.39
Step-by-step explanation:
The formula for continuous compounding of interest is:
A = Pe^(rt), were P is the initial dollar amount, A is the final amount, r is the interest rate as a decimal fraction, and t is the time in years.
Here we have $2109 = $500e^(10r) and need to solve for r.
To do this, take the natural log of both sides, obtaining:
ln 2109 = ln 500+ 10r.
Then 10r = ln 2109 - ln 500, and
ln 2109 - ln 500
r = --------------------------------------------
10
= .1439
The interest rate was 14.39%.
Answer:
not sure
Step-by-step explanation:
I believe it is f(n) = 12.95n
hope this helps !!
