Please answer ASAP 15 POINTS:why is the growth factor 1 + r for an exponential growth function?

I'm terrible at math any here is appreciated.

You deposit $5000 each year into an account earning 3% interest compounded annually. how much will you have in the account in 30 years?

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).