Answer:

We can divide both sides by 20 and we got:

Now we can appply natural log on both sides and we got:

Now we can divide both sides of the equation by 10 and we got:

So then the aproximate value of k is 0.30986 and rounded would be 0.31
Step-by-step explanation:
We have the following two expression:


We know that the two populations were equal 10 years after the start of the study, so then we can create the following equation:

We can divide both sides by 20 and we got:

Now we can appply natural log on both sides and we got:

Now we can divide both sides of the equation by 10 and we got:

So then the aproximate value of k is 0.30986 and rounded would be 0.31
Answer:
k = - 89
Step-by-step explanation:
To calculate the output, substitute t = - 7 into the equation for output, that is
k = 10(- 7) - 19 = - 70 - 19 = - 89
Answer:
6 times
Step-by-step explanation:
Let the number of times you visit the pool = x
At a local swim club you can purchase an annual membership for 24 dollars which will allow you 1 dollar admission to the pool all summer.
= $24 + $1× x
= 24 + x
If you do not purchase the membership the pool admission is 5 dollars.
= 5 × x
= 5x
Hence:
24 + x = 5x
Collect like terms
24 = 5x - x
4x = 24
x = 24/4
x = 6 times
The number of times you must visit the pool with a membership that would equal the cost of paying full price is 6 times.
What worksheet or are you talking to somebody else