In a lab experiment, 50 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 16 hours. How long would it be, to the nearest tenth of an hour, until there are 170 bacteria present?

time = 28.25 hours

Step-by-step explanation:

given data

petri dish = 50 bacteria

number of bacteria double =  every 16 hours

bacteria present = 170

solution

we know equation of  population of bacteria is

     .........................1

and we know after 16 hour bacteria is able to double

so

P = 2  

when we apply this we get

take ln both side we get

ln(2)  = 16 r  

r =  

r = 0.04332

so when here 170 bacteria present

than it will take time

170 =

take ln both side

1.2237 = 0.04332t

t = 28.25 hours

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

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