Answer:
The height of the hill is 45 feet .
Step-by-step explanation:
Refer the attached figure
Let AB be the height of hill
We are given that He determines that the angle of elevation to the top of the hill is 50°
So, 
Now He then walks 40 feet farther from the base from the hill and determines that the angle of elevation to the top of the hill is now 30°
So, CD=40 feet
BD=BC+CD=BC+40

In ΔACB

In ΔADB

So,equate 1 and 2

Substitute the value in equation 1
1.1917 (37.59)=AB
44.796=AB
Hence the height of the hill is 45 feet .
Answer:
55°
Step-by-Step Explanation:
Supplementary Angles means it adds up to 180°.
You can find the measure of the missing angle by doing 180°-125°=55°.
I'm pretty sure it is 0.125 I just divided .25 by 2 hope I helped
Answer:
I think it's 12.
Step-by-step explanation:
3(-2)^2 in a calculator give you 12
<u>Compounded</u><u> continuously the balance grows at a continuous rate of </u><u>1.7%.</u>
What is compound interest ?
- Compound interest is when you earn interest on both the money you've saved and the interest you earn.
- So let's say you invest $1,000 (your principal) and it earns 5 percent (interest rate or earnings) once a year (the compounding frequency).
The model used for continuous compounding is
f(t) = Pe^(rt)
where P is the principal amount, and r is the interest rate being compounded. Assuming a typo in your given equation, you have
f(t) = 1000·e^(0.017t)
Matching the various parts of the equation, we see that P = 1000 and r = 0.017 = 1.7%.
Therefore, the balance grows at a continuous rate of 1.7%.
Learn more about compound interest
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