Question

After creating a new email address, Gareth initially receives n emails per year. The number of emails received increases by 7% each year after that. The following expression represents the number of emails received after x years.

x(1 + 0.07)^x

Which of the following best represents the expression?

the product of the number of emails received initially and one plus the factor of increase raised to the number of years that the amount of emails Gareth received has increased

the product of the number of emails received initially and the factor of decrease raised to a period of x years

the product of the number of emails received initially and one plus the factor of decrease raised to the number of years that the amount of emails Gareth received has increased

the product of the number of emails received initially and the factor of increase raised to a period of x years

Answer 1

The correct answer is Option A.

Explanation:

Answer 2

The correct answer is Option A.

The formula to find the number of emails x years after making the email account is:


`N(x)= N_(o)(1+0.07)^(x)`

where,
`N_(o)` is the number of emails in the first year.

So, the number of emails x years after creating the account is the product of
`N_(o)`, the number of emails in first year, and (1+0.07)^x, the sum of 1 and rate of increased raised to the number of years.

Hence option A is the correct answer.