Find Pk+1 from the given statement Pk.Pk: 5 + 10 + 15 + . . . + 5k = 

A. Pk+1: 5 + 10 + 15 + . . . + 5k + 5(k + 1) = 
B. Pk+1: 5 + 10 + 15 + . . . + 5k + (5k + 1) = 
C. Pk+1: 5 + 10 + 15 + . . . + 5k + 5(k + 1) = 
D. Pk+1: 5 + 10 + 15 + . . . + 5k + (5k + 1) = 


Answer: C

Mathematics

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Solve.Suppose economists use as a model of a country's economy the function N(x) = 0.7478x + 6.0802,where N represents the consumption of products in billions of dollars and x represents disposable income in billions of dollars.  a. Identify the dependent and independent variables.b.  Evaluate N(9.52)and explain what it represents.

A. a. The dependent variable is the number of billions of dollars, N, and the independent variable is the disposable income in billions of dollars.  b. N(9.52) = $4.4 billion; According to the model, the number of billions of dollars for the consumption of products is $4.4 billion. B. a. The dependent variable is the number of billions of dollars, N, and the independent variable is the disposable income in billions of dollars.  b. N(9.52) = $4.6 billion; According to the model, the number of billions of dollars for the consumption of products is $4.6 billion. C. a. The dependent variable is the number of billions of dollars, N, and the independent variable is the disposable income in billions of dollars.  b. N(9.52) = $13.2 billion; According to the model, the number of billions of dollars for the consumption of products is $13.2 billion. D. a. The dependent variable is the number of billions of dollars, N, and the independent variable is the disposable income in billions of dollars.  b. N(9.52) = $5.2 billion; According to the model, the number of billions of dollars for the consumption of products is $5.2 billion.

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Determine how many of the indicated shape there are in the figure.Squares (of any size)

A. 13 B. 12 C. 17 D. 18

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Find the center of the ellipse. +  = 1

A. (-3, -4) B. (3, 4) C. (4, 3) D. (-4, -3)

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Solve the logarithmic equation.ln x - ln (x - 2) = ln 3

A.
B. 1
C. 3
D. No solution

Mathematics