Jake is installing a staircase so his children can have access to a tree house he built. The rise of the stairs is 7 inches and the run of each stair Is 10 Inches. What is the slope of the staircase, expressed as a fraction?

Ruth is setting up the locations of the corners of a 10' by 24' rectangular deck she is going to build in her backyard. To make sure she has a perfect rectangle, she checks to make sure the diagonals are the same. a. What should the length of each diagonal be? b. What angle does the diagonal make with the longer side of the deck? Round to the nearest degree. c. What angle does the diagonal make with the shorter side of the deck? Round to the nearest degree.

Caroline and her mom are building a skateboard ramp for their driveway. The angled ramp is 20 feet long. It starts on ground level and ends at a height of 1.5 feet. What is the angle of elevation of the ramp? Round to the nearest tenth.

Sara is setting up a volleyball net in her backyard. The poles to hold the net up are 10 feet high. Sara needs to run a wire from the top of the pole to the ground to help make sure that when players hit the net, the pole doesn't fall down. This wire is called a guy wire. What is the slope of the guy wire, expressed as a fraction?

The Americans with Disabilities Act requires that wheelchair ramps have at least a 12-inch run for each rise of 1 inch. a. Determine the slope represented by this requirement. b. The maximum length that the law allows for a ram is 30 feet. How many inches tall is the highest point of this ramp?

Jorge is installing a staircase so he can have access to his attic. The rise of the stairs is 8 inches and the run of each stair is 11 inches. What is the slope of the staircase, expressed as a fraction?

Examine the loan amortization table for the last 5 months of a $500,000, 15-year mortgage with an APR of 4.05$

$$\begin{array}{|c|c|c|c|c|c|} \hline \begin{array}{c} \text { Payment } \\ \text { Number } \end{array} & \begin{array}{c} \text { Beginning } \\ \text { Balance } \end{array} & \begin{array}{c} \text { Monthly } \\ \text { Payment } \end{array} & \begin{array}{c} \text { Towards } \\ \text { Interest } \end{array} & \begin{array}{c} \text { Towards } \\ \text { Principal } \end{array} & \begin{array}{c} \text { Ending } \\ \text { Balance } \end{array} \\ \hline 176 & \$ 18,368.50 & \text { a. } & \$ 61.99 & \$ 3,648.99 & \$ 14,719.52 \\ 177 & \text { b. } & \text { a. } & \$ 49.68 & \$ 3,661.30 & \$ 11,058.21 \\ 178 & \$ 11,058.21 & \text { a. } & \text { c. } & \$ 3,673.66 & \$ 7,384.56 \\ 179 & \$ 7,384.56 & \text { a. } & \$ 24.92 & \text { d. } & \$ 3,698.50 \\ 180 & \$ 3,698.50 & \text { a. } & \$ 12.48 & \$ 3,698.50 & \text { e. } \\ \hline \end{array}$$

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The Fickman Construction Company is building a rectangular deck that measures 40' by 20'. They need to run an electric line across the diagonal, underneath the deck. How long is the diagonal of the deck, to the nearest foot?

The Lamberti family is building a rectangular deck that measures 30 feet by 22 feet. They need to run an electric line across the diagonal, underneath the deck. How long is the diagonal of the deck, to the nearest foot?

The Lennon family is renting an outdoor movie screen for their backyard party. The screen is 12 feet high, and it needs to be tethered to the ground with four guy wires 15 feet long. What is the angle of elevation of each guy wire?

Liz and Nick are buying a $725,000 home. They have been approved for a 3.25% APR, 30-year mortgage. They made a 20% down payment and will be closing on March 11. a. What is their interest on the loan for one year? b. What is the daily interest? c. How much should they expect to pay in prepaid interest at the closing?

Tanya plans to make a square deck. She is not sure what size she is going to make the deck, but she knows it needs to be more than 5 feet long. She represents the deck as a square in which each side is d+5 feet long. Write an expression for the perimeter by multiplying the number of sides by the length of a side. Perimeter = _____

Last year, Anna paid x dollars for a co-op maintenance fee and one-third paid property taxes. How much property tax did Anna pay last year?

Jessica’s financial advisor believes that she should spend no more than 28% of her gross monthly income for housing. She has determined that amount is $1,400 per month. Based on this amount and her advisor’s recommendation, what is Jessica’s annual salary?