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
G(x) is a translation of f(x) 5 units up
Giving us g(x)=f(x)+5
So k=5
Each pound of potato salad serves 6 people and the average number of pounds of potato salad that each person is served will be 
pound.
<u><em>Explanation</em></u>
At a party of 102 people, 17 pounds of potato salad is served.
<u>a.</u> Suppose, each pound of potato salad is served to 
number of people.
So, 17 pounds of salad is served to 
or 
number of people. That means......
So, each pound of potato salad is served to 6 people.
<u>b.</u> Suppose, the average number of pounds of potato salad that each person is served is 
So, the total number of pounds of salad, served to 102 people 
pounds 
pounds. That means .....
So, the average number of pounds of potato salad that each person is served will be pound.
Answer: 22 1/2
Step-by-step explanation: first convert 4 1/2 into a mixed # = 9/2
The divide that by 5 (mult by reciprocal)
Reciprocal is the # flipped so,
9/2 x 1/5
= 45/2
divide 45 by 2
