Answer:
0.51 cm
Step-by-step explanation:
In right triangle MNP, MP = 4 cm, m∠N = 90°, m∠P = 21°
By the sine definition,
Now, consider right triangle HMN (it is right because NH is an altitude). By the cosine definition,
In the right triangle, two acute angles are always complementary, so
Thus,
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:
185,000
