A childcare owner has monthly expenses of $400 and believes these will increase each year...

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Finance

A childcare owner has monthly expenses of $400 and believes these will increase each year by 3%. Fill in the table below with the monthly expenses she should expect for the next five years.

Year

Estimated Monthly Expense

0 = now

1

1890

2

2500

3

3000

4

3500

5

4000

Write the recursive formula for her monthly expenses, E

En =

Write the explicit formula for her monthly expenses, E

En =

Use one of the formulas to predict her monthly expenses in year 6.

Provide one reason why it may not be reasonable to assume a 3% increase for each year.

Problem 2

Over the past 10 years (2010 to 2020), the number of children age 5 or under in King Country grew 108,000 to 131,000.

Using the starting value as 108,000 compute the annual growth rate

r =

Write the explicit formula for the Population of children age 5 or under in King County using the 1990 population as your starting value. .

Pn =

Use our formula to predict the number of children age 5 or under in King County in the year 2025.

Do you think it is reasonable to assume that the growth rate will be a steady percentage? If not, give one reason that might contribute to the growth rate changing?

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