Answer:
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your answer is going to be C
Answer: the investment would be
$110.45
Step-by-step explanation:
Initial amount deposited into the account is $100 This means that the principal is
P = 100
It was compounded quarterly. This means that it was compounded 4 times in a year. So
n = 4
The rate at which the principal was compounded is 5%. So
r = 5/100 = 0.05
It was compounded for 2 years. So
t = 2
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. Therefore
A = 100 (1+0.05/4)^4×2
A = 100 (1.0125)^8
A = $110.45
We have got an geometric progression.
We use to find any term of a geometric sequence, this equation:
an=a₁ * r^(n-1)
a₁= is the first term.
r=is the common ratio.
n=numbers of the term to find.
r=an / an-1
In this case:
r=a₂/a₁=(-4.8) / 9.6=-0.5
a₁=9.6
an=9.6*(-0.5)^(n-1)
