Question

If $10,000 is invested at x percent simple annual interest for n years, which of the following represents the total amount of interest, in dollars, that will be earned by this investment in the n years?

A. 10,000(x^n)B. 10,000(x/100)^nC. 10,000n(x/100)D. 10,000(1+x/100)^n E. 10,000n(1+x/100)

Answer 1

Answer: C.
`10000n(x)/(100)`

Explanation:

Given : The principal amount : P=$10,000

Rate of interest (in percent ) : x

Time period : n years

The formula to calculate the simple interest is given by :-

`S.I.=(P* R* T)/(100)`

`\Rightarrow\ S.I.=(10000* x* n)/(100)`

it can also be written as
`\Rightarrow\ S.I.=10000n(x)/(100)`

Hence, C is the right option.