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In​ 1990, the average income for an American worker was​ $1,518 per month. In​ 2000, the average income for an American worker was​ $2,632 per month. During this time​ period, a basket of necessities​ (food, housing,​ etc.) increased from​ $657 per month in 1990 to​ $1,402 per month in 2000.
The real value of income
▼
increased
decreased
over that​ 10-year period.

Respuesta :

opudodennis

Answer:

Decreased

Step-by-step explanation:

-The rate of growth in food prices can be calculated using the compound interest formula as:

[tex]A=P(1+i)^t\\\\1402=657(1+i)^{10}\\\\(1+i)=(\frac{1402}{657})^{0.1}\\\\1+i=1.07874\\\\i=0.07874[/tex]

We use the calculated growth rate in food prices to find the potential future value of a 90's income:

[tex]A=P(1+i)^n\\\\=1518(1.07874)^{10}\\\\=3239.21[/tex]

#Compare this calculated value to the stated value:

[tex]3239.21>2632[/tex]

Hence, the real value of income has decreased since it's less than it's future value over the 10-year period.