Answer:
The population size after seven days will be 171.
Step-by-step explanation:
The population of protozoa can be modeled by the following equation.
In which Q(t) is the population after t days, Q(0) is the initial population and r is the growth rate.
In this problem, we have that:
So
Find the population size after seven days.
This is Q(7).
The population size after seven days will be 171.
Answer:
The minimum number of miles you would need to drive in a month to make the first deal a better deal is 66.6 miles.
Step-by-step explanation:
For the first deal to be a better deal it has to cost less than the second plan and you can write an equation in which the first plan has a lower cost than the second one:
10+0.60m<0.75m, where:
m is the number of miles driven
Now, you can solve for m:
10<0.75m-0.60m
10<0.15m
10/0.15<m
m>66.6
According to this, the answer is that the minimum number of miles you would need to drive in a month to make the first deal a better deal is 66.6 miles.
Answer:
11
Step-by-step explanation:
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Answer:
x = -6
Step-by-step explanation:
Solve for x:
2 (3 x - 4) = 4 (x/2 - 8)
Put each term in x/2 - 8 over the common denominator 2: x/2 - 8 = x/2 - 16/2:
2 (3 x - 4) = 4 x/2 - 16/2
x/2 - 16/2 = (x - 16)/2:
2 (3 x - 4) = 4 (x - 16)/2
4/2 = (2×2)/2 = 2:
2 (3 x - 4) = 2 (x - 16)
Divide both sides by 2:
3 x - 4 = x - 16
Subtract x from both sides:
(3 x - x) - 4 = (x - x) - 16
3 x - x = 2 x:
2 x - 4 = (x - x) - 16
x - x = 0:
2 x - 4 = -16
Add 4 to both sides:
2 x + (4 - 4) = 4 - 16
4 - 4 = 0:
2 x = 4 - 16
4 - 16 = -12:
2 x = -12
Divide both sides of 2 x = -12 by 2:
(2 x)/2 = (-12)/2
2/2 = 1:
x = (-12)/2
The gcd of -12 and 2 is 2, so (-12)/2 = (2 (-6))/(2×1) = 2/2×-6 = -6:
Answer: x = -6
