H(t) = f(t) - g(t)
= 500(1.2)^t - 380(1.15)^t
Taking out the greatest common factor, which is 20:
= 20[(25)(1.2)^t - (19)(1.15)^t]
This is the third choice.
Note that you cannot subtract the bases of the exponents, for example (1.2^t - 1.15^t) cannot be simplified into something like 0.05^t.
If you don't double check your answers by substituting them back into the original equation, you may be introducing extraneous solutions into the problem which is why you should always check to confirm your answer is accurate. I hope this helps! :)
25320+11310=36,630 or 12,430+24,200=36,630
Let the n-th term be called

We see that if we choose

then the other numbers follow the pattern

(see :

)
Hence the sequence will be
Answer: 16.2%
Step-by-step explanation:
You can find the cost of equity using the Capital Asset Pricing Model (CAPM).
Cost of equity = Risk free rate + Beta * (Expected return on market - Risk free rate)
= 6% + 1.2 * (14.50 - 6%)
= 6% + 10.2%
= 16.2%