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levacccp [35]
3 years ago
14

Write 6.38612 correct to 2 decimal places.​

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
7 0
6.39
It’s 2 places to the right of the decimal and since 6 is 5 or greater, you will round the 8 up
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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
Sweetums finds that the cost of making a certain candy bar .15 per bar and that the fixed rate is 600 per week if each bar sells
PilotLPTM [1.2K]

We know that:

Profit = Revenue - Cost

Let us say x number of candies are made per week.

Finding Cost per week:

Cost of making 1 bar = 0.15

Cost of making x bars = 0.15x

Fixed rate of making candies per week = 600

Total cost of making x candies per week = 600 + 0.15x

Now let us find Revenue:

Selling price of each bar = 1.50

Selling price of x bars = 1.50x

Now we have to find profit,

Profit = Revenue - Cost

In order to have profit Revenue - Cost >0

So plugging values of revenue and cost to get number of candies,

1.50x-(0.15x+600)>0

1.50x-0.15x-600>0

1.35x-600>0

1.35x>600

x>444.44

Rounding off

x>444

Answer: The company must sell greater than 444 candies in order to make profit.

7 0
3 years ago
Challenge A movie theater sends out a coupon for 30% off the price of a ticket. Write an equation
BartSMP [9]

Answer:

The equation is y= 0,65 x

Step-by-step explanation:

6 0
3 years ago
Carson went shopping for a new video game because of a sale. The price on the tag was $40, but Carson paid $28 before tax. Find
MatroZZZ [7]

Answer:

Step-by-step explanation:

28/40 ×100 =70 PERCENT

7 0
2 years ago
That is the correct answer
Arlecino [84]
3 and 4/8 for question number one
8 0
3 years ago
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