ere are seven applicants for a job in the 20-29 age group, fourteen in their thirties, and four the \( 40-49 \) age group. What is the probability that the person hired will be older than \( 29 ? \)

19. \( 1+2+3+4+5+\ldots+n=\frac{n(n+1)}{2} \) (a) i) Show that this formula is true for the sum of the first 8 natural numbers. ii) Find the sum of the first 400 natural numbers. (b) i) Show that \( 2+4+6+8+\cdots+2 n=n(n+1) \). ii) Find the sum of the first 200 even numbers. iii) Find the sum of the first 200 odd numbers. (c) i) Use the formula at the beginning of the question to find the sum of the first \( 2 n \) natural numbers. ii) Find a formula, in its simplest form, for \( 1+3+5+7+9+\cdots+(2 n-1) \).

Find an equation of the line passing through the given points. Use function notation to write the equation, \( (-2,12) \) and \( (1,-3) \)

TabaSue invested \( \$ 11,550 \) dollars in a savings account that paid \( 5.3 \% \) interest compounded annually. Write the exponential equation \( A \) that represents TabaSue's investment where \( A \) is the accrued value of her savings and \( t \) is the time of the investment in years. \( A= \) Determine how much money TabaSue will have after 11 years. Answer: After 11 years, TabaSue will have the nearest penny/cent.) Determine how long it will take for TabaSue's investment to double. Answer: TabaSue's investment will have doubled in value after in her savings account. (Round to nearest tenth.)

Static friction can be defined as

Find the slope and \( y \)-intercept of the line. \( -6 x+y=-10 \)