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Solve the equation for x . 2 7 x ? 4 = 2 6 x + 5 x = 14. Solve the equation for

ID: 2840222 • Letter: S

Question

Solve the equation for x. 27x ? 4 = 26x + 5 x = 14. Solve the equation for x. 27x ? 4 = 26x + 5 x = Solve the equation for x. 27x ? 4 = 26x + 5 x = Solve the equation for x. 27x ? 4 = 26x + 5 x = Solve the equation for x. 27x ? 4 = 26x + 5 x = 27x ? 4 = 26x + 5 27x ? 4 = 26x + 5 14. 14. 14. Solve the equation for x. 27x ? 4 = 26x + 5 Sketch the graphs of the given functions on the same axes. y = ex, y = e2x, and y = e3x The percentage of families that were married households between 1970 and 2000 is approximately where t is measured in decades, with t = 0 corresponding to 1970. What percentage of families were married households in 1970? In 1980? In 1990? In 2000? (Round your answers to one decimal place.) P(t) = 87.1e-0.056t (0 t 3)

Explanation / Answer

27x ? 4 = 26x + 5

as bases are equal exponnets must be equal so 7x-4 = 6x+5

so x = 9

2) answer is A

as e^x graph always starts form zero at negative infinity and it is 1 at x=0 and at x tends to infinty it will be infinfite agian

3)P(1) = 87.1e^-(0.056*1); one times 0.056 = 0.056; e^-0.056 =; so in 1970, the percentage of families that were married is approximately85.0 percent.

P(1) is for 1970 =82.35 [ using a calculator and e= 2.718]
P(2) is for 1980 [ 87.1*e^-0.112 = approximately 77.87 to one decimal place]
P(3) is for 1990 [ 87.1*e^-.168 = approx. 73.6]

P(t) graph answer is D as at t=o its value is 87.1 and it should decrease wit time

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