Step-by-step explanation:
Find the inverse of each of the given functions.
Answer
Inverse Function: ; Domain: ; Range:
Explanation
Find the inverse function: Inverse Function: ; Domain: ; Range:
Answer: Inverse Function: ; Domain: ; Range:
10^-8 = 1/(10^8)
10^8 = 100000000
1/100000000 is your answer
hope this helps
Solve for x over the real numbers:
6/x - 20 = 0
Bring 6/x - 20 together using the common denominator x:
-(2 (10 x - 3))/x = 0
Divide both sides by -2:
(10 x - 3)/x = 0
Multiply both sides by x:
10 x - 3 = 0
Add 3 to both sides:
10 x = 3
Divide both sides by 10:
Answer: x = 3/10
Answer: She started with $160.
It will take 6 weeks before she has less than half of what she originally invested.
Step-by-step explanation:
If her money is decreasing in value by 11% each week, it means that the rate at which it is decreasing is exponential.
We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^t
Where
A represents the value of the investment after t weeks.
t represents the number of weeks.
P represents the initial value of the investment.
r represents rate of depreciation.
From the information given,
A = $142.40
r = 11% = 11/100 = 0.11
t = 1
Therefore
142.40 = P(1 - 0.11)^1
142.40 = P(0.89)
P = 142.4/0.89
P = 160
For her to have half of what she invested originally, then
80 = 160(0.89)^t
80/160 = (0.89)^t
0.5 = (0.89)^t
Taking log of both sides to base 10
Log 0.5 = log0.89^t = tlog0.89
- 0.3010 = - 0.051t
t = - 0.3010/- 0.051
t = 5.9
Approximately 6 weeks
Answer:
angle G has 90degree so it is rt. angle triangle