Percentage Change

[Becky4paws]

The gross annual earnings of a certain company were A(t) = 0.1t^2 + 10t + 20 usand dollars t years after its formation in 1996. Estimate the percentage change in the gross annual earnings during the first quarter of 2000?

I think t = 4 and change of t = 1/4

100[A'(t) * (change t)/A(t)]

100 [0.2t + 10(1/4)/1.6 + 40 + 20,000] or just + 20?

100[10.8 (1/4)/41.6 + 20,000]

did I set this up right? My answer leaves many doubts.

 

[JakeD]

The gross annual earnings of a certain company were A(t) = 0.1t^2 + 10t + 20 usand dollars t years after its formation in 1996. Estimate the percentage change in the gross annual earnings during the first quarter of 2000?

I think t = 4 and change of t = 1/4

100[A'(t) * (change t)/A(t)]

100 [0.2t + 10(1/4)/1.6 + 40 + 20,000] or just + 20?

100[10.8 (1/4)/41.6 + 20,000]

did I set this up right? My answer leaves many doubts.

I'd guess A(t) is in thousands of dollars so it is just +20. The rest of your calculation looks correct.