Answer:
Therefore,
As Q is such that Segment AB is partitioned into 1 : 1
1 : 1 means Equally divided in two parts.
∴ Q is the midpoint of AB
Step-by-step explanation:
Given:
Step-by-step explanation:
Given:
Q is such that Segment AB is partitioned into 1 : 1
Let ,
A(x₁ , y₁) = (6, -2) and
B(x₂ , y₂) = (10, -4)
To Find:
Q( x , y ) = ?
Solution:
As Q is such that Segment AB is partitioned into 1 : 1
1 : 1 means Equally divided in two parts.
∴ Q is the midpoint of AB then By Mid point Formula the Coordinate of Q is given by,
Substituting the values we get
Therefore,
As Q is such that Segment AB is partitioned into 1 : 1
1 : 1 means Equally divided in two parts.
∴ Q is the midpoint of AB
The answer would be (0,-2)
Answer:
Step-by-step explanation:
Remember that in order to find the slope of two points you need to substitute the variables and subtract making sure you keep the 2's and the 1's together.
Plugin your numbers:
Hope this helps.
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
