Answer:
The equation is 
Step-by-step explanation:
The exponential growth equation is 
, where
- a is the initial value (value y at x = 0)
- r is the rate of increasing in decimal
∵ The value of gold is appreciating 18% every hour
∴ r = 18%
∵ 18% = 
= 0.18
∴ r = 0.18
∵ The gold coin was worth $40 at the beginning of the crisis
∴ The initial amount is $40
∴ a = 40
∵ y represents the value of the gold after x hours
∴ 
- Substitute the values of a and r in the form above
∴ 
∴
The equation is
Answer:
C) 11/24
Step-by-step explanation:
rewrite each fraction as equivalent fraction with common denominator.
LCM(6,8) is 24
5/6 = 20/24
3/8 = 9/24
The difference between 20/24 and 9/24 is 11/24
3.64 is the estimated difference
Notice that 50 minutes is twice the half-life.
After 25 minutes, half of the starting amount remains, so that 88g decays to 44g.
After another 25 minutes (a total of 50 minutes), the 44g will decay to 22g.
Answer:
<em>The coordinates of b are: B=(-7,-8)</em>
Step-by-step explanation:
We are given the coordinates of the midpoint of 
as M=(-5,-2).
We are also given the coordinates of A=(-3,4). The question requires us to calculate the coordinates of the other endpoint B.
Let (xb,yb) the coordinates of B. The coordinates of the midpoint can be calculated as follows:
We know xa=-3 and xm=-5. Solve the first equation for xb:
Substituting:
We can solve the second equation for xb and get:
Since ya=4 and ym=-2, then:
Thus, the coordinates of b are: B=(-7,-8)
