Afisherman is setting up a net 6 feet below the surface of the water. each foot of the water screens out 40% of the light coming from the surface. which of the following is the approximate percentage of light remaining after passing through 6 feet of water, to the nearest tenth of a percent? 0.4%
1.0%
4.7%
7.8%

Option C 4.7% is the answer.

Step-by-step explanation:

Firstly the question says that with each feet the sunlight screens out 40 % and the rest remains 60%.

After 1st feet sunlight remains 60%.

Now 40% of this again screens out. 0.40*60 = 24%

60-24 =36%

At next level, we will find 40 % of 36 and subtract it from 60.

0.40*36 = 14.4 , so remaining value is = 36-14.4 = 21.6%

Next level: 0.40*21.6 =  8.64 ; 21.6-8.64 = 12.96%

Next level : 0.40*12.96 = 5.154 ; 12.96-5.184 = 7.776%

Next level : 0.40*7.776 = 3.1104 ; 7.776-3.1104 = 4.665%

Hence, the answer is 4.665% ≈ 4.7%

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.