After 6 hours the radioactive compound with mass 470 grams becomes 391.49 grams and the equation will be C is equal to 470(1-0.03)^6.
<h3>What is exponential decay?</h3>
During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
We know the decay can be as:

We have:
a = 470 grams
r = 3% = 0.03
t = 6 hours

C = 391.49 grams
Thus, after 6 hours the radioactive compound with mass 470 grams becomes 391.49 grams and the equation will be C is equal to 470(1-0.03)^6.
Learn more about the exponential decay here:
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Answer:
third option
Step-by-step explanation:
y = 1/2 x
The first thing you should do in this case is to know how much paper you need to print for the 17 copies.
We have then:
(17) * (130) = 2210
Then, you must calculate the number of reams you need:
n = (2210) / (500) = 4.42
You need 4 full reams and 42% of a fifth ream. So, the cost will be
C = (4.42) * (3.44) = 15.2048 $
The unit cost of each paper is:
Cu = (15.2048) / (2210) = 0.00688 $
answer
the paper is going to cost 0.00688 $ for those reports
Answer:
b = 33 miles
Step-by-step explanation:
The illustration forms a right angled triangle. The opposite side of the triangle is where we are looking for . The adjacent side is the radius 4000 miles.
5280 ft = 1 mile
735 ft = ? miles
cross multiply
735/5280
miles = 0.13920454545 miles
The hypotenuse side is the height of the building + 4000 miles = 0.140 + 4000 = 4000.14 miles
using Pythagoras theorem
c² = a² + b²
c = 4000.14
a = 4000
4000.14² = 4000² + b²
b² = 4000.14² - 4000²
b² = 16001120.0196 - 16000000
b² = 1120.0196
b = √1120.0196
b = 33.4666938911
b = 33 miles