Line L, passes through points (a, 5b) and (3a, 2b). Ifline La is perpendicular to line L1, what is the slope of L2?

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1. Line Li passes through points (a, 5b) and (3a, 2b). If line La is perpendicular to line L1, what is the slope of L2?
2. Cathy's Candies sells candy canes. She can sell 250 candy canes if they are priced at $1.50 each but only
50 if they are priced at $5.70 each.
a. Given that it is linear, find the demand equation for Cathy's cangis dcr (Let x = quantity, y = price.)
b. At what price will Cathy sell 300 candy canes?
Natalie bought a sandwich and hot cider for lunch and spent a total of $10.25. The sandwich cost $4.75 more
than the cider. What was the cost of each item? Define variables, set up equations and solve.
3.
Transcribed Image Text:1. Line Li passes through points (a, 5b) and (3a, 2b). If line La is perpendicular to line L1, what is the slope of L2? 2. Cathy's Candies sells candy canes. She can sell 250 candy canes if they are priced at $1.50 each but only 50 if they are priced at $5.70 each. a. Given that it is linear, find the demand equation for Cathy's cangis dcr (Let x = quantity, y = price.) b. At what price will Cathy sell 300 candy canes? Natalie bought a sandwich and hot cider for lunch and spent a total of $10.25. The sandwich cost $4.75 more than the cider. What was the cost of each item? Define variables, set up equations and solve. 3.
4. A high school football team with 40 players includes 16 players who played offense last year, 17 who
played defense last year, and 12 who didn't play offense or defense last year.
a. How many players from last year played either offense or defense (or both)?
b. How many players from last year played both offense and defense?
c. How many players from last year played only offense?
5. For problem 4 state the formula needed to solve the problem, identify the value of each known variables and
find the answer to the question. Calculate to the nearest cent, nearest 0.01%, or round to the 4th decimal place.
Assume one year 365 days = 52 weeks. A typical answer might be: A = 20,000(1 + .07/12)48 = $26,441.08
a. Find the effective rate of an account offering 0.28% monthly interest, compounded monthly.
b. Brad wants to have $12,000 in his account in 6 years. His account is paying 2.3% yearly interest,
compounded weekly. How much should he deposit today to meet this goal?
Transcribed Image Text:4. A high school football team with 40 players includes 16 players who played offense last year, 17 who played defense last year, and 12 who didn't play offense or defense last year. a. How many players from last year played either offense or defense (or both)? b. How many players from last year played both offense and defense? c. How many players from last year played only offense? 5. For problem 4 state the formula needed to solve the problem, identify the value of each known variables and find the answer to the question. Calculate to the nearest cent, nearest 0.01%, or round to the 4th decimal place. Assume one year 365 days = 52 weeks. A typical answer might be: A = 20,000(1 + .07/12)48 = $26,441.08 a. Find the effective rate of an account offering 0.28% monthly interest, compounded monthly. b. Brad wants to have $12,000 in his account in 6 years. His account is paying 2.3% yearly interest, compounded weekly. How much should he deposit today to meet this goal?
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