Answer:
Step-by-step explanation:
Given:
---
1st problem:
Distribute:
Combine like terms:
---
2nd problem:
Distribute -3 to first factor:
Use foil to simplify:
Replace with -1:
Combine like terms:
---
3rd problem:
Distribute 2 to the second factor:
Use foil to simplify:
Replace with -1:
Combine like terms:
----
4th problem:
Distribute:
Combine like terms:
Simplify:
Answer:
We divide both sides by 100000 and we got:
Now we can apply natural logs on both sides;
And then the value of t would be:
And rounded to the nearest tenth would be 9.2 years.
Step-by-step explanation:
For this case since we know that the interest is compounded continuously, then we can use the following formula:
Where A is the future value, P the present value , r the rate of interest in fraction and t the number of years.
For this case we know that P = 100000 and r =0.12 we want to triplicate this amount and that means and we want to find the value for t.
We divide both sides by 100000 and we got:
Now we can apply natural logs on both sides;
And then the value of t would be:
And rounded to the nearest tenth would be 9.2 years.
Answer:
Step-by-step explanation:
Since given the expression, this represents graphically a parabola with arms pointing up, and a vertical translation of its vertex 5 units up, then the range of the function must be all the y values such that they are greater or equal to 5. This is written as: