Answer:
4
Step-by-step explanation:
Answer:
The initial bacteria population is 238
Step-by-step explanation:
Let us have the increase as an exponential equation
P(t) = I(1 + r)^t
where P(t) is the count at a particular time
r is the percentage increase
I is the initial population
t is the time
So for 5 minutes, we have
348 = I(1 + r)^5
For 20 minutes
1088 = I(1 + r)^20
Divide the second equation by the first
1088/348 = I(1 + r)^20/I(1 + r)^5
3.13 = (1 + r)^15
Take the ln of both sides
ln 3.13 = 15 ln (1 + r)
ln 3.13/15 = ln (1 + r)
0.0761 = ln (1 + r)
1 + r = e^0.0761
1 + r = 1.079
r = 1.079-1
r = 0.079 which is 7.9%
So per minute. we have an increase of 7.9%
So let’s get I by substituting
From;
348 = I(1 + 0.079)^5
348/1.079^5 = I
I = 237.9 which is 238 to the nearest whole number
Answer:
46 minutes
Step-by-step explanation:
Teresa purchased a prepaid phone for $15
Long distance calls cost 24 cents a minute using this card
She used the card just once to make a long distance call
The remaining credit on her card was $3.96
Therefore the minutes in which her call lasted can be calculated as follows
Let x represent the minutes
15 - 24/100x= 3.96
15-0.24x= 3.96
-0.24x= 3.96-15
-0.24x= -11.04
x= 11.04/0.24
x = 46
Hence Teresa call lasted for 46 minutes
Answer:
Option C)1 in. = 6 ft
Step-by-step explanation:
Up to know we have the following equality:
45 f = 7 1/2 in
Or what is the same that:
45 f = 7.5 in
If we divide both sides of the equation by 7.5 we will get the equivalence to 1 inch:
45/7.5 f = 7.5/7.5 in
6 = 1 in
So, the correct answer if option C)1 in. = 6 ft
Answer:
16=18
Step-by-step explanation:
2x-5x+16
-3x+16
-3(x-6)
-3x+18
-3x+16+-3x+18
16=18
-they do not share the same answer
and if you where to keep going
18-16=2
0=2
-so again not equal
hope that helps
