Question

50 PTS

The amount of money, in dollars, in a savings account after x years is given by M(x) = 10,000(1.03)x. What does the value 1.03 represent?
A) The original deposit was $103.
B) There is a 3 percent increase in the savings account each year.
C) The savings account earns $103 interest per month.
D) There is a 103 percent increase in the savings account each year.

Answer 1

The correct option is B.

Explanation:

The amount of money, in dollars, in a savings account after x years is given by
`M(x) = 10000(1.03)^(x)`

This above equation represents that $10000 becomes M(x) after x years at a rate of interest 3% compounded in each year.

Therefore, the value in the expression 1.03 represents that there is a 3 percent increase in the savings account each year.

So, the correct option is B. (Answer)