and 
both have a common denominator, so you can combine them into a single fraction:
You cannot simplify this fraction further:
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Answer:
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Can you send a picture by chance?
The equation that we can create from this situation is:
i = (190 – 5 x) * (29 + x)
where i is the income and x is the increase in daily rate
Expanding the equation:
i = 5510 + 190x – 145x - 5x^2
i = -5x^2 + 45x + 5510
Taking the 1st derivative:
di/dx = -10x +45
Set to zero to get the maxima:
-10x + 45 = 0
x = 4.5
So the cars should be rented at:
29 + x = 33.5 dollars per day
The maximum income is:
i = (190 – 5*4.5) * (33.5)
i = 5,611.25 dollars
Given Information:
Years = t = 35
Semi-annual deposits = P = $2,000
Compounding semi-annually = n = 2
Interest rate = i = 6.5%
Required Information
Accumulated amount = A = ?
Answer:
Accumulated amount = $515,827
Step-by-step explanation:
The future value of amount earned over period of 35 years and interest rate 6.5% with semi-annual deposits is given by
FV = PMT * ((1 + i/n)^nt - 1)/(i/n))
Where
n = 2
i = 0.065
t = 35
FV = 2000*((1 + 0.065/2)^2*35 - 1)/(0.065/2))
FV = 2,000*(257.91)
FV ≈ $515,827
Therefore, Anthony will have an amount of $515,827 when he retires in 35 years.
Answer:
The number of butterflies he collects = 176
The number of moth he collects = 44
Step-by-step explanation:
This question has to do with ratio.
We are told in the question that:He collects 4 butterflies for every moth.
Hence, the ratio of
Butterflies : Moth
4 : 1
Sum of the proportion = 4 + 1 = 5
We are also told he has a total of 220 butterflies and moths.
Hence:
The number of butterflies he collects is calculated as
4/5 × 220 = 176 butterflies
The number of moth that he collects =
1/5 × 220 = 44 moth
