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You Deposit $\$ 5000 in an Account with an Annual Interest Rate of Interest

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You deposit $\$ 5000 in an account with an annual interest rate of change r (in decimal form) compounded monthly. At the end of 5 years, the balance is A=5000(1+r12) 60A = 5000 \left( 1 + \frac { r } { 12 } \right) ^ { 60 } . Find the rates of change of A with respect to r when r=0.08r = 0.08 .


Definitions:

Quintiles

Statistical values that divide a set of data into five equal parts, so that each part represents 1/5th of the sampled population.

Percentage Shares

Represent the portions or fractions, expressed as a percentage, of a whole divided among entities or allocated for specific purposes.

Poverty Line

A calculated income level used as a threshold to determine the minimum amount of income a family or individual needs to afford basic living expenses.

Poverty Rate

The percentage of the population that lives below the poverty line, indicating the level of economic deprivation in a community.

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