. The population of a town reaches 113000. 7 years ago the population was 82000. Assuming that the growth rate of the town is exponential then the growth rate of the population to the nearest tenth of a percent is % per year.

Suppose that $12,000 is invested in a saving account paying 5.6% interest per year. (a)Write the formula for the amount in the account after t years if interest is compounded monthly. (b)Find the amount in the after 3 years if interest is compounded daily. (c)How long will it take for the amount in the account to grow to $20,000 if interest iscompounded continuously?

A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days, thesample has decayed to 80 grams. Rounding to fivesignificant digits, write an exponential equationrepresenting this situation. To the nearest day, whatis the half-life of this substance?

Rewrite 163x5=1000 as a logarithm. Then applythe change of base formula to solve for x using thenatural log. Round to the nearest thousandth.