the number of astronomy papers published increases by 3.2% every year. if 27,146 astronomy papers were…

the number of astronomy papers published increases by 3.2% every year. if 27,146 astronomy papers were published in a particular year, how many will be published 9 years later? if necessary, round your answer to the nearest whole number. astronomy papers

the number of astronomy papers published increases by 3.2% every year. if 27,146 astronomy papers were published in a particular year, how many will be published 9 years later? if necessary, round your answer to the nearest whole number. astronomy papers

Answer

Explanation:

Step1: Identify the formula

The formula for compound - growth is $A = P(1 + r)^t$, where $P$ is the initial amount, $r$ is the growth rate as a decimal, and $t$ is the number of time - periods.

Step2: Convert the percentage to a decimal

Given $r = 3.2%=0.032$, $P = 27146$, and $t = 9$.

Step3: Substitute the values into the formula

$A=27146\times(1 + 0.032)^{9}$. First, calculate $(1 + 0.032)^{9}$. $(1 + 0.032)^{9}=1.032^{9}$. Using a calculator, $1.032^{9}\approx1.32709$. Then, $A = 27146\times1.32709$. $A\approx36034.9$.

Step4: Round to the nearest whole number

Rounding $36034.9$ to the nearest whole number gives $36035$.

Answer:

$36035$