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Part $1$

Calculate the future value of

$$$$5$ comma $0005,000$

in

a$.$

$1010$

years at an interest rate of

$10\%10\%$

per year.

b$.$

$2020$

years at an interest rate of

$10\%10\%$

per year.

c$.$

$1010$

years at an interest rate of

$20\%20\%$

per year.

d$.$ Why is the amount of interest earned in part

$($a$)$

less than half the amount of interest earned in part

$($b$)?$