Answer:
exponential
constant multiplicative rate of change
Step-by-step explanation:
Step-by-step explanation:
Start by finding when the populations become equal.
C = R
1000e^(0.1t) = 50e^(0.5t)
Divide both sides by 50.
20e^(0.1t) = e^(0.5t)
Divide both sides by e^(0.1t).
20 = e^(0.4t)
Take natural log of both sides.
ln 20 = 0.4t
Multiply both sides by 2.5
t = 2.5 ln 20
t ≈ 7.5
The population of rabbits first exceeds the population of crickets in the middle of the 7th year after 2016, or 2023.
Answer:
4 hours
Step-by-step explanation:
Given
Car 1:


Car 2:

--- i.e. 2 hours after car 1
Required
Determine the time car 1 will meet car 2
To do this, we calculate the distance of both cars using:

For Car 1:


For Car 2:

Open bracket

When car 2 meets up with car 1, they are at the same distance.
So:

Collect Like Terms


Solve for h


<em>Car 2 will catch car 1; 4 hours from the start</em>
<u>Answer:</u> The value of x will be 2.
<u>Step-by-step explanation:</u>
To calculate the value of 'x' or solve for x, we need to isolate x from 8.
In the equation, 8 is in addition with 'x' so for isolating it, we need to apply the reverse operation of addition.
Reverse operation of addition is subtraction.
We need to subtract 8 from both sides of the equation, we get:

By doing this, we get the value of 'x' as 2.
Error done by Alice was that she added 8 and it did not led to the isolation of 'x'.
Answer:
48828
Step-by-step explanation:
939×52 (52 weeks in a year)
=48828
not sure about this answer