You complain that the hot tub our hotel suite is not enough. The hotel tells you that they will increase the temperature by 10% each hour. If the current temperature of the hot tub is 75 Fereneit Degrees, what will be the temperature of the hot tub after 3 hours, to the nearest tenth of a degree?

i request for better solution of question i asked

To determine the temperature of the hot tub after 3 hours, we need to calculate the increase in temperature by 10% for each hour for a total of 3 hours.

First, let's calculate the increase in temperature for each hour. To increase a value by a percentage, we can multiply it by 1 plus the percentage in decimal form.

In this case, we'll increase the temperature of the hot tub by 10% each hour, which in decimal form is 0.1. So, for each hour, the temperature will be:
75 + (75 * 0.1) = 75 + 7.5 = 82.5 degrees Fahrenheit
Next, we can calculate the temperature after 3 hours by repeating the process for each hour:
Hour 1: 75 + (75 * 0.1) = 82.5 degrees Fahrenheit
Hour 2: 82.5 + (82.5 * 0.1) = 90.75 degrees Fahrenheit
Hour 3: 90.75 + (90.75 * 0.1) = 99.825 degrees Fahrenheit

To the nearest tenth of a degree, the temperature of the hot tub after 3 hours will be approximately 99.8 degrees Fahrenheit.

75*1.1^3=75*1.1*1.1*1.1