Solve.In 1970, the population of a particular city is 724,000. In 1980, the population of the city is 598,700. Assume the population is decreasing according to the exponential-decay model. When will the population of the city be 100,000?

A. 2084
B. 2074
C. 2069
D. 2079


Answer: B

Mathematics

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Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges.8 - 24 + 72 - 216 + ... + (-1)n-1 8 ? 3n-1 + ...

A. ; series diverges
B. ; series diverges
C. ; 2
D. ; 4

Mathematics

Translate the sentence to an equation using the variable x. Then solve the equation.Four times a number added to 9 times the number equals 39.

A. 9x - 4x = 39; 3 B. 4(x + 9) = 39x; -3 C. 9x + 4x = 39; 3 D. 4x(9 + x) = 39; -3

Mathematics

Solve the problem.Suppose that P(x) represents the percentage of income spent on food in year x and I(x) represents income in year x. Determine a function F that represents total food expenditures in year x.

A. F(x) = (x)
B. F(x) = (P ? I)(x)
C. F(x) = (P + I)(x)
D. F(x) = (I - P)(x)

Mathematics

Solve the system by Gauss - Jordan elimination.



a. ( 6, 16, 30 )
b. ( 6, -16, 30 )
c. ( 6, 16, -30 )
d. ( -6, -16, -30 )
e. ( -6, 16, -30 )

Mathematics