Step-by-step explanation:
law of sine :
a/sinA = b/sinB = c/sinC
with the sides and correlating angles being always opposite to each other.
we are dealing with a right-angled triangle here.
the train track is the Hypotenuse (the side opposite of the 90° angle) : 1600 ft.
the horizontal level "connection" from beginning to the end of the track is one leg, and the elevation difference at the end of the track is the second leg.
the 2 legs enclose a 90° angle, as the elevation goes straight up from the horizontal level.
so, we have
1600/sin(90) = elevation difference / sin(1.6)
sin(90) = 1
1600 = elevation difference / sin(1.6)
elevation difference = 1600 × sin(1.6) =
= 1600 × 0.027921639... =
= 44.67462196... ft
≈ 44.7 ft
<u>Answer-</u>
<em>The total amount you would have earned over the first 16 years is </em><em>$90047.20</em>
<u>Solution-</u>
The exponential function that would given the growth is,

Where,
P' = Future value,
P = Current value = $50000
r = rate of change = 4% = 0.04
t = time = 15 year (not 16 because the the increment occurs at year end and we want to get the value at the beginning of 16th year)
Putting the values,



Therefore, the total amount you would have earned over the first 16 years is $90047.20
Negative numbers are integers.The set of integers include negative numbers, positive numbers, and zero
Answer: 5x+17
Step-by-step explanation:
2(x+7) + 3(x+1)
2x+14 + 3x+3
5x+17
Answer:


Step-by-step explanation:
4x + y = 22
y = x - 3
4x + y + y = 22 + x - 3
4x + 2y = 19 + x
4x - x + 2y = 19 + x - x
3x + 2y ÷ 3 = 19 ÷ 3

