find the amount accumulated after investing a principal P for t years at an interest rate compounded k times per year .
1 answer:
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Answer:
Step-by-step explanation:
Let's start by using distributive multiplication:
So:
Grouping like terms:
Now, is equal to:
In this sense:
In order to satisfied the equality:
Hence, from (1), let's solve for a:
And from (2), let's solve for b:
Let's verify the result evaluating the values of a and b into the original equation:
As you can see, the values satisfy the equation, therefore, we can conclude they are correct.