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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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Express as a ratio in whole numbers 1/2 : 1/4 : 1/12
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6 : 3 : 1

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7 0
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Help fast!! please.
alexira [117]

Answer:

Mean = 10

Variance = 30.89

Standard Deviation = 5.56

Step-by-step explanation:

Find the Mean, Variance and Standard deviation

6, 14, 8, 2, 11, 7, 12, 4, 18, 18

Step 1

We rearrange the data and find the Mean

2, 4, 6, 7, 8, 11, 12, 14, 18, 18

Mean = Sum of values/Number of values

= 2 + 4+ 6+ 7+ 8 + 11 + 12 + 14 + 18 +18/10

= 100/10

= 10

Step 2

We find the variance of this sample days ma

Variance = (x - Mean)²/n - 1

n = 10

Hence,

=( (2 - 10)² +(4 - 10)²+ (6 - 10)²+ (7 - 10)² + (8 - 10)² + (11 - 10)² + (12 - 10)² + (14 - 10)² + (18 - 10)² +(18 - 10)²) /10 -1

= ( 64 + 36 + 16 + 9 + 4 + 1 + 4 + 16 + 64 +64)/9

= 278/9

= 30.88888889

Approximately = 30.89

Step 3

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