Answer:
126.5 years
Step-by-step explanation:
N(t) = 384(1.13)^t
2,000,000,000 = 384(1.13)^t
(1.13)^t = 2,000,000,000/384
log [(1.13)^t) = log (2,000,000,000/384)
t × log 1.13 = log (2,000,000,000/384)
t = [log (2,000,000,000/384)]/(log 1.13)
t = 126.5
<u><em>Answer:</em></u>
(c) 4.1 km
<u><em>Explanation:</em></u>
We are given that the height of the balloon is 4 km and that it is 1 km away from the station.
Setting up the diagram that describes the given scenario, we would end up with a right-angled triangle as the one shown in the attached image
<u>where:</u>
height of the balloon = 4 km represents one side of the triangle
distance between the base of the balloon and the station = 1 km represents the other side
distance between the balloon and the station is the length we want to find and it represents the hypotenuse of the triangle.
<u>To get the length of the hypotenuse, we will use the Pythagorean theorem</u>

<u>Substitute with the givens:</u>
= √17 ≈ 4.1 km
Hope this helps :)
there are too many spelling incorrections for me to understand the question, sorry.
Answer:
y = -2/3x - 3
Step-by-step explanation:
y = mx + b
m = slope
(-3,-1) = (x,y)
<em>Plus in the coordinates</em>
-1 = -2/3(-3) + b
<em>negative times negative = positive</em>
-2/3 * -3 = 2
-1 = 2 +b
<em>Use inverse operations</em>
-2 --2
-3 = b
y = -2/3x - 3