I would say the answer is D. 7837. Since the common ratio between the x’s and y’s were are 39.5 so multiplying that times 200 gives something around 7900 so, (rounding down) the answer would be D. I really hope that helped! Also please correct me if I am wrong... thanks!
Answer:
x = 15.65 and y = 5√2
Step-by-step explanation:
To get x and y we will use the Pythagoras theorem as shown
hyp^2 = adj^2 + opp^2
x^2 = 14^2+7^2
x^2 = 196 + 49
x^2 = 245
x = √245
x = 15.65
Similarly for y;
y2 = 5^2 + 5^2
y^2 = 25 + 25
y^2 = 50
y = √2*25
y = 5√2
Hence x = 15.65 and y = 5√2
To solve this we are going to use the half life equation

Where:

is the initial sample

is the time in years

is the half life of the substance

is the remainder quantity after

years
From the problem we know that:



Lets replace those values in our equation to find

:




We can conclude that after 1600 years of radioactive decay, the mass of the 100-gram sample will be
91.7 grams.