Ending Amount = Beginning Amount / 2^n
where 'n' = # of half lives
n = 20,000 / 1,600 = 12.5 half-lives
Ending Amount = 1 kg / 2^12.5
Ending Amount = 1 kg /
<span>
<span>
<span>
5,792.6
</span></span></span>Ending Amount =
<span>
<span>
<span>
0.00017263 kilograms = </span></span></span><span>0.17263 grams
</span>
Answer:
(A) 6%
(B) 57%
(C) 357%
(D) 100%
Step-by-step explanation:
(A) 6 / 100 = 6%
(B) 57 / 100 = 57%
(C) 357 / 100 = 357%
(D) 100 / 100 = 100%
Answer:
<u>dollars per hour rate = $10</u>
<u>hours per dollar = 6 minutes 15 seconds</u>
Step-by-step explanation:
Take note that one is singular (dollar) without an 's', and the other is plural (dollars). Thus, since her dollars per hour rate tells us how much she will earn for each hour of work, we would expect her hours per dollar rate to tell us how much she has to work in minutes to earn a single dollar ($1).
If we divide 
= $0.16 which indicates how much she earns for every minute she works at the theater. Further dividing this value into 1 minute we find the hour per dollar rate 1/0.16 = 6.25. minutes.
It’s C,
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Answer:
Radius = 8.575 cm
Step-by-step explanation:
Formula for volume of a pyramid is;
V_p = ½Ah
Where A is area of base and h is height
Also, formula for volume of cone is given as;
V_c = ⅓πr²h
Now, we are told that V_p = V_c and that h is the same for both shapes.
Thus ;
½Ah = ⅓πr²h
h will cancel out to give;
½A = ⅓πr²
Cross multiply to give;
3A/2π = r²
Base area of pyramid is given as 154 cm². Thus;
(3 × 154)/2π = r²
r = √((3 × 154)/2π
r = 8.575 cm
