(1,3) if you look at the graph, both inequality’s graphed overlap at (1,3) we only see green in (1,1)
Answer:
Step-by-step explanation:
if the multiplication of two numbers is 16)9, and one of the numbers is 5/2. then the other number can be found by dividing the number from the product to get the other number.
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
Speed of tsunami = sqrt (9.8d) m/s where d is the depth of the ocean.
Given speed of tsunami to be 320 m/s, depth of the ocean is calculated as follows:
320=sqrt (9.8d) => 320^2 = 9.8d => d= (320^2)/9.8 = 10448.98 m
To nearest meter, d=10449 m