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S_A_V [24]
2 years ago
12

Symbolize and Solve Equations

Mathematics
1 answer:
NNADVOKAT [17]2 years ago
5 0

x = 5.43 + .83m

5.43 + .83 * 5 = 5.43 + 4.15 = $9.58

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A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i
bija089 [108]

Answer: \bold{a)\ P(t)=P_o\cdot e^{t\cdot ln(2.7)}}

               b) 5314

               c) ln 2.7

               d) 4.6 hrs

<u>Step-by-step explanation:</u>

P(t) = P_o\cdot e^{kt}\\\\\bullet \text{P(t) is the number of bacteria after t hours} \\\bullet P_o\text{ is the initial number of bacteria}\\\bullet \text{k is the rate of growth}\\\bullet \text{t is the time (in hours)}\\\\\\270=100\cdot e^{k(1)}\\2.7=e^k\\ln\ 2.7=\ln e^k\\\boxed{ln\ 2.7=k}\\\\\text{So the equation to find the number of bacteria is: }\boxed{P(t)=P_o\cdot e^{t\cdot ln(2.7)}}\\\\\\P(4)=100\cdot e^{4\cdot ln(2.7)}\\.\qquad =\boxed{5314}

10,000=100\cdot e^{t\cdot ln(2.7)}\\100=e^{t\cdot ln(2.7)}\\ln\ 100=ln\ e^{t\cdot ln(2.7)}\\ln\ 100=t\cdot ln(2.7)\\\dfrac{ln\ 100}{ln\ 2.7}=t\\\\\boxed{4.6=t}

4 0
3 years ago
| 2x + 2y = 10<br> y = 5+x
melisa1 [442]
2x + 2(5+x)=10
2x+10+2x=10
4x+10=10
4x=0
X=0
6 0
3 years ago
Of the men in the survey, what percent of them prefer movies? Write your answer as a percent and round to one decimal place.
andre [41]

Answer:

  • 40%

Step-by-step explanation:

There are 20 men and 8 of them prefer movies.

  • P = 8/20 = 0.4 = 40%
4 0
3 years ago
How to do this problem??
ahrayia [7]

The answer would be 16 3/4 divided by 3 7/8

7 0
3 years ago
One cold night the temperature was 0 degrees at 8 p.m. The temperature dropped at a constant rate from 8 p.m. to midnight. At mi
aliina [53]

Answer:

- 4.2 degrees

Step-by-step explanation:

If the drop was from temp 0 at 8 pm to temp -16.8 at midnight (4 hours later)

then,the drop is given by the rate: -16.8/4 = - 4.2 degrees per hour

Therefore, at 9 pm the temperature was:

0 degrees - 4.2 degrees = - 4.2 degrees

5 0
3 years ago
Read 2 more answers
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