Answer:
r(n) = 1000·(2/5)^n
Step-by-step explanation:
Since the tortoise travels 3/5 the remaining distance, the remaining distance at the end of the day is 2/5 of what it was at the beginning of the day. So, the function can be modeled by an exponential with a "growth" factor of 2/5:
r(n) = 1000·(2/5)^n
where r(n) is the number of remaining feet after n days of travel.
We are told that the principle is the same for both investments so we can say:
315=P(r+4)/100 and 175=Pr/100 solving both for P you have:
P=31500/(r+4) and P=17500/r since P=P:
17500/r=31500/(r+4)
175(r+4)=315r
175r+700=315r
-140r+700=0
-140r=-700
r=5
So the rates are 5% and (5+4)=9%
check...
P(9/100)=315 and P(5/100)=175
P=31500/9 and P=17500/5
P=157500/45 and P=157500/45
So P=P
note: P=$3500
3500(9/100)=$315
3500(5/100)=$175
Answer:
C. 8^x/3
Step-by-step explanation:
According to algebraic principles, if n is the root of a number, then that number to the power of 1/n is equal to it. This would mean that n√a = a^1/n.
This would mean that 3√8 = 8^1/3. When there is a power added to a radical expression such as this, that power will go on the denominator. So (3√8)^2 for example is equal to 8^2/3, and in your case, (3√8)^x = 8^x/3
looking back on the fact that this was added 2 days ago i dont think this helped on your quiz
Answer: 171 km³ per year.
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{ <u><em>Note</em></u>: This is the answer for which you seek. However, this is the "amount" lost in the first year. For the second year, you would calculate 0.006% of
"171 km³ " to find out how the amount of ice lost in the second year.}.
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Explanation:
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0.006% = 0.006/ 100 = 0.00006 ;
0.00006 * 2,850,000 km³ = 171 km³ per year.
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