Answer:
![Digit = 1.1663](https://img.qammunity.org/2022/formulas/mathematics/college/k1mvijszhziab95a0b8z19585dnv55p4n8.png)
Explanation:
Given
Increase by 7% followed by a 9% increase
Required
Represent by a single decimal
Represent 7% increment by x and 9% increment by y.
Increment by 7% is:
![x = 1 + 7\%](https://img.qammunity.org/2022/formulas/mathematics/college/27licmfpw25mbnhrr60o6ohmxkciesz51d.png)
Express as decimal
![x = 1 + 0.07](https://img.qammunity.org/2022/formulas/mathematics/college/47uc20xrfmw28fdmfg9mr8awvt169pxax4.png)
![x = 1.07](https://img.qammunity.org/2022/formulas/mathematics/college/4ude8o51xg9s2xuk69u6jju1cftdxlb7dc.png)
Increment by 9% is:
![y = 1 + 9\%](https://img.qammunity.org/2022/formulas/mathematics/college/nxbc3hd14seea81dwgmjcv24w3lv1j5rgk.png)
Express as decimal
![y = 1 + 0.09](https://img.qammunity.org/2022/formulas/mathematics/college/1s2d2yzumczw9j96jaeuhq907k0k6pd45c.png)
![y = 1.09](https://img.qammunity.org/2022/formulas/mathematics/college/stiruzfwmgkud0eny0z3eyh2pxodbcgt3r.png)
The single digit is:
![Digit = x * y](https://img.qammunity.org/2022/formulas/mathematics/college/8w0n76bv333vdt17nzlnujgi7ke52diug5.png)
![Digit = 1.07*1.09](https://img.qammunity.org/2022/formulas/mathematics/college/mvtzng6n92peecdhrc082jhsv0uiqja9w8.png)
![Digit = 1.1663](https://img.qammunity.org/2022/formulas/mathematics/college/k1mvijszhziab95a0b8z19585dnv55p4n8.png)