<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
2.
M must be (0,0) since it coincides with the origin
R must be (a+b, √(a²-b²)).
The x-coordinate is b from A translated to the right by a.
The y-coordinate is the same as A.
(I think the square root is there to confuse you).
3.
R(0,0)
C(a,b) (same x as T, same Y as E)
5.
Not sure how to prove that.
Answer:
1/12
Step-by-step explanation:
Since 1/4 drank fanta orange and 1/3 took coca cola, the. remainder will be:
= 1 - (1/4 + 1/3)
= 1 - 7/12
= 5/12
Therefore, 1/5 of the remainder drank sprite, the fraction that drank sprite will be:
= 1/5 × 5/12
= 1/12
Answer:
166.6 joules
Step-by-step explanation:
The formular for potential energy is Mgh
Mass is 8.5 kg
g = acceleration due to gravity (9.8)
height is 2 meters
= 8.5 × 9.8 × 2
= 166.6 joules
Hence the potential energy is 166.6 joules