The best fitting line relating the dependent variable y to the independent variable x, often called the regression or least-squares line, is found by minimizing the sum of the squared differences between the data points and the line itself.
Which statement(s) verify that f(x) =9x−1f ( x ) = 9 x - 1f(x) =9x−1 and g(x) =19(x+1) g ( x ) = \frac { 1 } { 9 } ( x + 1 ) g(x) =91(x+1) are inverse?
A) f(x) ⋅g(x) =(9x−1) 19(x+1) =−1f ( x ) \cdot g ( x ) = ( 9 x - 1 ) \frac { 1 } { 9 } ( x + 1 ) = - 1f(x) ⋅g(x) =(9x−1) 91(x+1) =−1 B) f(g(x) ) =(9(19x) +1) −1=x,g(f(x) ) =19(9(x−1) +1) =xf ( g ( x ) ) = \left( 9 \left( \frac { 1 } { 9 } x \right) + 1 \right) - 1 = x , g ( f ( x ) ) = \frac { 1 } { 9 } ( 9 ( x - 1 ) + 1 ) = xf(g(x) ) =(9(91x) +1) −1=x,g(f(x) ) =91(9(x−1) +1) =x C) f(g(x) ) =(9(19x) +1) −1=x;g(f(x) ) =19((9x−1) +1) =xf ( g ( x ) ) = \left( 9 \left( \frac { 1 } { 9 } x \right) + 1 \right) - 1 = x ; g ( f ( x ) ) = \frac { 1 } { 9 } ( ( 9 x - 1 ) + 1 ) = xf(g(x) ) =(9(91x) +1) −1=x;g(f(x) ) =91((9x−1) +1) =x D) f(g(x) ) =9(19(x+1) ) −1=x;g(f(x) ) =19((9x−1) +1) =xf ( g ( x ) ) = 9 \left( \frac { 1 } { 9 } ( x + 1 ) \right) - 1 = x ; g ( f ( x ) ) = \frac { 1 } { 9 } ( ( 9 x - 1 ) + 1 ) = xf(g(x) ) =9(91(x+1) ) −1=x;g(f(x) ) =91((9x−1) +1) =x E) f(x) g(x) =9(x−1) 9(x+1) =−1\frac { f ( x ) } { g ( x ) } = \frac { 9 ( x - 1 ) } { 9 ( x + 1 ) } = - 1g(x) f(x) =9(x+1) 9(x−1) =−1
A $3,000 payment is scheduled for 6 months from now. If money is worth 6.75%, calculate the payment's equivalent values at two-month intervals beginning today and ending one year from now.
$2,902.06 today, $2,933.99 in 2 months, $2,966.63 in 4 months, $3,000 in 6 months, $3,033.75 in 8 months, $3,067.50 in 10 months, $3,101.25 in 12 months
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Terri and Larry plan to invest $5,000 at the end of each year in an individual retirement account earning a rate of return of 11% compounded annually. What will be the value of the account after 15 years?
A) $119,864 B) $172,027 C) $198,215 D) $214,739 E) $359,543
A) the values of a variable that fall halfway between the top of one interval and the bottom of the next interval B) the smallest value of a variable that would be grouped into a particular interval C) the largest value of a variable that would be grouped into a particular interval D) a small number of intervals that provide the frequencies within each interval