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Studentka2010 [4]
3 years ago
9

An office building rents for $40,000 the first year, then increases by 0.5% each year. Use summation notation to represent the t

otal payments for the first three years. Explain your reasoning. Marcus’s response is given below: If rent increases by 0.5% each year, the year’s rent is 1.005 times the previous year’s rent. So, an exponential expression can be used. The summation is 1.005 raised to the year times $40,000, where the years go from 0 to 3.
Mathematics
2 answers:
Sholpan [36]3 years ago
4 0
Given the initial rent is $40000, and the rent is increased by 0.5% each year, the rent in the third year will be given by:
FV=P(1+r)^n
FV=40000(1.05)^n
Thus the answer  for the sum of payments for 3 years will be:
The summation is 1.05 raised to n years times  $40000, where the years is from 0 to 3.
erica [24]3 years ago
3 0

Answer:

The indices Marcus used are not correct.

As is, the indices create a summation with four terms, not three.

The upper index should be 2 instead of 3.

Step-by-step explanation:

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Number of kittens in a group are 10. Out of these 5 are female.

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    So,  total number of kitten = 10

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Now total number of ways to choosing two kittens from group of 10 = ^{10} C_{2}

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                     (ii) 1 male P(x=1) = P(1 male and 1 female) = \frac{^{5} C_{1}\times^{5} C_{1}}{45} =  \frac{25}{45} =\frac{5}{9}

                     (iii) 2 male P(x=2)= P(2 male) =\frac{^{5} C_{2}}{45} =  \frac{2}{9}

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(b) what is expected number of male kittens chosen ?

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                                                                  = 1

(c) what is standard deviation ?

                              \sigma(x) = \sqrt{ (E(x^{2} )-(Ex)^{2})

No,                          

                               Ex^{2} =o\times \frac{2}{9} + 1\times \frac{5}{9} + 4\times\frac{2}{9}

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                               \sigma(x)=\sqrt{\frac{13}{9} - 1 }=\sqrt{\frac{4}{9} }  

                                       = ± \frac{2}{3}

                               

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