Answer:
y = ax(x – 300)^3(x – 700)^1(x – 1000)^2
Step-by-step explanation:
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
Based on the hints of distinguishing between <em>radical</em> and <em>non-radical</em> numbers, we have the following lists:
,
, 2.5, 
- 3.01,
,
, 
, - 4.1, 4.01, 
- - 2.5,
,
, 2.5
<h3>How to order numbers from least to greatest</h3>
In this question we must order sets of numbers in ascending order. A hint consists in comparing <em>non-radical</em> numbers with the <em>closest</em> <em>radical</em> numbers whose results are integers.
In consequence, we obtain the following orders:
,
, 2.5, 
- 3.01,
,
, 
, - 4.1, 4.01, 
- - 2.5,
,
, 2.5
To learn more on sets: brainly.com/question/18877138
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The distributive property is being displayed here. The distributive property shows if you have a problem like 3(a+c), it can be converted into 3a+3c. It shows itself in this because it is distributing -2 to both a and b.
Answer: The distributive property is being shown here.
Hope I helped!