I don't know what I did wrong. Can you help me please?
1 answer:
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Answer:
s ∈ (25.5,34.5)
''s'' is in inches unit
s ∈ IR
Step-by-step explanation:
We know that the perimeter of a square is
Where P is the perimeter and s is the length of a side.
We want the perimeter to be greater than 102 inches but less than 138 inches.
We can write :
102 inches < P < 138 inches
If we replace P = 4s in the expression :
102 inches < 4s < 138 inches
Dividing by ''4''
25.5 inches < s < 34.5 inches
If we want the perimeter to be greater than 102 inches but less than 138 inches the length of a side must be greater than 25.5 inches but less than 34.5 inches.
Writing this in interval notation
s ∈ (25.5,34.5)
s ∈ IR
We have been given that Bobby's investment of $225,000 loses value at a rate of 3% per year. We are asked to find the value of the investment after 10 years.
We will us exponential decay function to solve our given problem.
We know that an exponential function is in form , where,
y = Final amount,
a = Initial amount,
r = Decay rate in decimal form,
x = Time.
Let us convert 3% into decimal.
Upon substituting ,
and
, we will get:
Upon rounding to nearest dollar, we will get;
Therefore, the value of the investment after 10 years would be .