Shota invests $2000 in a certificate of deposit that earns 2% in interest each year.Write a function that gives the total v(t) i
1 answer:
Answer:
The correct answer is v(t) = (principal × time × 0.02) if calculated simply and v(t) = Principal × where v(t) is the interest after t years .
Step-by-step explanation:
Principal amount invested by Shota is $2000.
Interest is earned at 2% per year.
Time for which the principal is invested is t years.
Therefore let the total interest be v(t) dollars in t years.
Case 1: Simple Interest.
v(t) = (principal × time × ) = (2000 × t × 0.02) = 40t
Case 2: Compound Interest.
v(t) = Principal × - Principal = 2000 ×
- 2000.
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Step-by-step explanation:
We need to show whether
or
so we'll do either one of them,
we'll convert f(x) to f^-1(x) and lets see if it looks like g(x).
we can also write it as:
now all we have to do is to make x the subject of the equation.
now we'll interchange the variables
this is the inverse of f(x)
and it does equal to g(x)
Hence, both functions are inverse of each other!
This can be shown graphically too:
we can see that both functions are reflections of each other about the line y=x.
