Answer:
A. -1 ≤ x < 2
Step-by-step explanation:
It shows on the number line.
Answer:
it should be 0.23 cm when rounded to the nearest hundredth
Answer:
There is only 1 solution for m and that is 3.
Step-by-step explanation:
6-3=3.
Answer:
1). Marginal profit= P'(x) = 5+ 0.7(Inx +1)
2) P'(10)= 3.23121
A. The additional profit, in thousands of dollars, for selling a thousand candles once 10,000 candles have already been sold.
Step-by-step explanation:
P(x) = 5 x - 0.7 x ln x.
P'(x) = differential of P(x) = 5 x - 0.7 x ln x.
Differential of 5x= 5
Differential of xInx = Inx +1
P'(x) = 5+ 0.7(Inx +1)
Marginal profit= P'(x) = 5+ 0.7(Inx +1)
For P'(10)
P'(x) = 5- 0.7(Inx +1)
P'(10)= 5-0.7(In10 +1)
P'(10)=5-0.7(2.303 +1)
P'(10)=5-0.7(3.303)
P'(10)=5- 2.3121
P'(10)= 3.23121
If P(10) = 5 x - 0.7 x ln x.
P(10) = 50-0.7(10)(In10)
P(10)= 50-16.12
P(10)= 33.88
Bacteria population increases by 9.8% per hour.
Population = (1.098)^hours
Solving this for time we get:<span>
</span><span>
</span><span>Time = log(ending amount / beginning amount) ÷ log (1 + rate)</span>
<span />
Since we must solve the problem for the population to double, we'll say
beginning amount = 100 and ending amount = 200
Time = log(200 / 100) ÷ log (1 + .098)
Time = log(2) ÷ log (1.098)
Time = 0.30102999566 / 0.040602340114
Time =
<span>
<span>
<span>
7.4141045766 Hours </span></span></span>
<span><span><span /></span></span>Time = 7.41 Hours (rounded to nearest hundredth.
Source:
http://www.1728.org/expgrwth.htm
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