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write the equation of a line that is perpendicular to the given line and that passes through the given point.

y-2= 7/3(x+5) ; (-5, 2)

a: y+2= -3/7 (x-5)
b: y-5= -3/7(x+2)
c: y-2= -3/7(x+5)
d: y+2= 3/7(x-5)

a:

(a) (8%) compute the probability of an even integer among the 100 integers 1! , 2! , 3! , until 100! (here n! is n factorial or n*(n-1)*(n-2) *… 1) (b) (16%) compute the probability of an even integer among the 100 integers: 1, 1+2, 1+2+3, 1+2+3+4, …., 1+2+3+… + 99, and 1+2+3+… + 100

The table shows the balance of a money market account over time. write a function that represents the balance y(in dollars) after t years.

Luke started a weight-loss program. the first week, he lost x pounds. the second week, he lost pounds less than times the pounds he lost the first week. the third week, he lost 1 pound more than of the pounds he lost the first week. liam started a weight-loss program when luke did. the first week, he lost 1 pound less than times the pounds luke lost the first week. the second week, he lost 4 pounds less than times the pounds luke lost the first week. the third week, he lost pound more than times the pounds luke lost the first week.