Answer:74.55 beat per minute
Explanation:
Given
Heart beat is 52 beat per minute
i.e.
beat per sec
If heart rate is increases 1.25 % each sec
suppose B is the heart beat at first second therefore heat beat at 2 nd second
![B_2=B+1.25 \% B](https://img.qammunity.org/2021/formulas/mathematics/high-school/81x7mpug7pkoh8qmqavwuqfi0nrb9858ho.png)
![B_2=B(1+1.25 \% )](https://img.qammunity.org/2021/formulas/mathematics/high-school/kbkia2jhz821w5x26qa5v7qvuwbkfuhlqy.png)
For 3 rd sec
![B_3=B(1+1.25\%)+1.25\%B(1+1.25\%)](https://img.qammunity.org/2021/formulas/mathematics/high-school/ugp3p1jvh09uu0iyyhkivrrzj6y2gpohha.png)
![B_3=B(1+1.25\%)^2](https://img.qammunity.org/2021/formulas/mathematics/high-school/7smvlce1am1lav1hg8q8lyfpxrrq0q074w.png)
similarly for 3 sec
![B_(30)=B(1+1.25\%)^(29)](https://img.qammunity.org/2021/formulas/mathematics/high-school/uujdt9g55a0hhbsdydie11ctw2r8ys2coy.png)
![B_(30)=1.433B](https://img.qammunity.org/2021/formulas/mathematics/high-school/qr7xtuzds0cn3cumnvmoxxjp1y99vfxeme.png)
![B_(30)=1.242\ \text{beat per second }](https://img.qammunity.org/2021/formulas/mathematics/high-school/9xa4lioafi3ucj621e9ifjeml2sr4ml8a5.png)
![B_(30)=74.55\ \text{beat per minute}](https://img.qammunity.org/2021/formulas/mathematics/high-school/i224bahfsx2u8ocpixi3sei07cd63atcxl.png)