If the national economy shrank at an annual rate of 6% per year for 3 consecutive years, then the economy shrank by 18% over the three year period. the economy shrank by what per6 over the three year period?

Using an exponential function, it is found that the economy shrank by 16.94% over the three year period.

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The equation for a decaying exponential amount is given by:

In which:

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0.1694*100% = 16.94%.

The economy shrank by 16.94% over the three year period.

A similar problem is given at link

You want to find x such that

... 1 - x = (1 - 6%)³

... x = 1 - (0.94)³ = 1 - 0.830584 = 0.169416

... x ≈ 16.9%

The economy shrank by about 16.9% over the three-year period.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950