Question

On your first day of work, you get $1. On your second day of work, you get $4. On your third day of work, you get $9. On your fourth day of work, you get $16. It continues this way for 30 days and then once you’ve completed the 30 days you receive a completion bonus of $500,000. How much would I earn after?

Answer 1

y = x^2 = 30^2 = $900

He would earn $900 on the 30th day and the bonus of $500,000

Explanation:

Given

let y represent the amount earned

x represent the day.

At x = 1 y = 1

x = 2 y = 4

x= 3 y = 9

x = 4 y = 16

This satisfies the function;

y = x^2

So, on the 30th day;

x = 30

y = x^2 = 30^2 = $900

He would earn $900 on the 30th day and the bonus of $500,000

Answer 2

Money earned after 30 days is $509455

Explanation:

If on the first day, that is n = 1, where n is the day and you earn $1.

On the second day (n = 2), you earn $4, On the third day (i.e n = 3) you earn $9 and on the fourth day (n = 4) you then earn $16. That is the money earned on the nth day is given by:

Money earned on the nth day = n².

That is on the 30th day, the money earned = 30² = $900

Once you’ve completed the 30 days you receive a completion bonus of $500,000, in given by:

Money earned after 30 days =
`\Sigma}n^2 ;n=1 to30+$500000=(1^2+2^2+3^2+4^2+5^2+...+29^2+30^2)+500000\\=9455+500000=509455`

Money earned after 30 days = $509455