Answer:
$24272.62
Step-by-step explanation:
Given data
Principal= $10,000
Rate= 3%
Time = 30 years
The expression for the compound interest is given as
A= P(1+r)^t
Substitute
A=10000(1+0.03)^30
A=10000(1.03)^30
A=10000*2.4272
A= 24272.62
Hence the final Amount A=$24272.62
Answer:
18ft
Step-by-step explanation:
21-3=18
The distance between the helicopter and the first home is 369. 87 m
<h3>How to solve the distance using the angle of depression?</h3>
The distance between the helicopter and the first home can be found using sine law,
Hence,
180 - 72 - 49 = 59 degrees.
Therefore,
420 / sin 59 = A / sin 49°
where
- A = distance form the first home to the helicopter.
cross multiply
420 sin 49 = A sin 59°
A = 420 sin 49 / sin 59
A = 316.978023694 / 0.8571673007
A = 369.869339199
A = 369. 87 m
Therefore, the distance between the helicopter and the first home is 369. 87 m
learn more on angle of depression here: brainly.com/question/1976859
#SPJ1
Answer:
1.) 1 pound 9 ounces
2.) G= 50
3.) 10/27
Step-by-step explanation:
I hope I helped again! :)
Answer:
10 and -5
Step-by-step explanation:
x + y = 5
xy = -50
y = 5 - x
x(5-x) = -50
5x - x^2 = -50
x^2 - 5x - 50 = 0
from there on we can solve the classic way
![\Delta = (-5)^2 - 4\cdot1\cdot(-50) = 25 + 200 = 225\\\sqrt{\Delta} = 15\\x_1 = \frac{5 - 15}{2} = -5\\x_2 = \frac{5+15}{2} = 10\\y_1 = 5 - x_1 = 10\\y_2 = 5 - x_2 = -5](https://tex.z-dn.net/?f=%5CDelta%20%3D%20%28-5%29%5E2%20-%204%5Ccdot1%5Ccdot%28-50%29%20%3D%2025%20%2B%20200%20%3D%20225%5C%5C%5Csqrt%7B%5CDelta%7D%20%3D%2015%5C%5Cx_1%20%3D%20%5Cfrac%7B5%20-%2015%7D%7B2%7D%20%3D%20-5%5C%5Cx_2%20%3D%20%5Cfrac%7B5%2B15%7D%7B2%7D%20%3D%2010%5C%5Cy_1%20%3D%205%20-%20x_1%20%3D%2010%5C%5Cy_2%20%3D%205%20-%20x_2%20%3D%20-5)
Everything checks out.