I can't see how any of those formulas show exponential decay. (Did you type those correctly?)
The formula that will show the remaining amount correctly is:
ending amount = Bgng Amount / 2^n
where "n" is the number of haf-lives.
So, for example if half life = 4 hours and if we want to calculate the amount after 9 hours (that's 2.25 half-lives) then:
ending amount = Bgng Amount / 2^n
ending amount = 50 / (2^(9/4))
ending amount = 50 / 2^2.25
ending amount =
50 / <span><span><span>4.75682846
</span>
</span></span><span><span>ending amount =
</span>
10.5112 grams
</span>Looking at the graph, we see that's about right.
Answer:
<h2>
64.8</h2><h2>
</h2>
Step-by-step explanation:
total area = rectangle + semi circle
= (11 x 5) + (1/2 * π * 2.5²)
= 55 + 9.8
= 64.8 sq. units
4/12ths is 1/3 when simplified. 1/3 in decimal form is .33
1/5; 1/5 is .2
¼; ¼ is .25
5/25: 5/25 is .2
6/24; 6/24 is .25
all of these fractions are near .33 but aren't equivalent to it.
1,200 for the boat because 1800 divided by 3 is 600 and times that by two because its 2/3 and then u get your answer of 1,200$