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Practical Math Mystery Cache

This cache has been archived.

SuperGoober: This Cache has had a great run! [:D]
Thanks to all that have found and have completed the puzzle. [:P]
I’m going to let this one go as it hasn’t been found in quite a while.

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Hidden : 12/18/2016
Difficulty:
4 out of 5
Terrain:
2 out of 5

Size: Size:   small (small)

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Geocache Description:

Welcome to the Practical Math Geocache
All of the practical math questions below are actual encounters that I have had.

The Cache is NOT at the given coordinates,
The high difficulty of this Cache is based on the puzzle, not the level of difficulty to actually find the Cache.
You will need to solve the puzzle below in order to know that actual Cache location.
The Cache is located at:
N 42° 00.ABC W 091° 34.DEF

A: Diagonal Bracket Length
You are building a small shelf in your garage.
You mount the bracket and place a piece of wood on top of it and then start placing items on your newly built shelf.
You notice that the shelf starts to sag after you place a couple items on it.
You figure that you need to strengthen the brackets by adding a diagonal support to each of them.
The bracket dimensions are as follows:
Length: 11 inches
Width: 9 inches
How long does the diagonal support need to be?

11.7 Inches - A = 1
12.0 Inches - A = 3
13.2 Inches - A = 6
14.2 Inches - A = 8

B: On the road again
You move into your new house.
You get a call from someone that you knew years ago that lives 30+ miles away.
He asks you how long it would take for you to get to his house.
Once you leave your home you will need to travel four miles at a speed of 30 MPH.
Then you will take the on-ramp to the highway and travel 24 miles at a speed of 60 MPH.
Once you exit the highway you will travel two miles at 45 MPH and then you will arrive at your friends house.
Approximately, how long is it going to take to get to your friends house?

29 Minutes, 15 Seconds - B = 0
34 Minutes, 40 Seconds - B = 2
39 Minutes, 20 Seconds - B = 5
44 Minutes, 15 Seconds - B = 8

C: Printer leaves its mark
Your good ole reliable printer is now leaving a black dot on the left margin every time you print something.
You notice that this annoying black dot appears every three inches vertically on the left margin.
You think about what may be the cause of this and you conclude that it must be one of the many rollers inside of your printer has a black dot of ink on it.
What is the diameter of the roller that is causing this?

0.95 Inches in diameter - C = 1
1.05 Inches in diameter - C = 3
1.86 Inches in diameter - C = 7
2.17 Inches in diameter - C = 9

D: How many miles can you go?
Your Geo-Wagon gets 26 MPG.
You have $12.00
You're tank is empty and you just sputter into a gas station and pull up to the pump.
The gas price in $2.19 a gallon.
How far can you go after spending your $12.00 on gas?

142.47 Miles - D = 0
154.21 Miles - D = 3
159.17 Miles - D = 7
164.82 Miles - D = 9

E: Total cost
The Iowa (IA) state sales tax rate is currently 6.0%.
Depending on local municipalities, the total tax rate can be as high as 7%.
Food and prescription drugs are exempt from sales tax.
You buy a new CEN-TECH 3 in 1 Portable Power Pack from Harbor Freight for $44.99.
Harbor Freight charges a 7% sales tax.
How much did this CEN-TECH 3 in 1 Portable Power Pack cost you (including sales tax)?

$48.14 - E = 0
$49.99 - E = 4
$52.15 - E = 6
$54.33 - E = 8

F: Property Tax
Your current lot is measures 160 feet X 76 feet and you pay $4,880 a year in property tax on it.
You have an opportunity to by the lot of property behind you but you're a little apprehensive because you don't know how much you will end up paying property tax on it each year.
The lot behind you that you are considering purchasing measures 77 feet X 76 feet.
Approximately, how much more are you going to be paying in property tax if you purchase the lot behind you?

$1,033.15 - F = 1
$1,672.29 - F = 3
$2,088.74 - F = 6
$2,348.50 - F = 9

The placement of this Geocache has been approved by Linn County Conservation.
Good Luck and have fun!
Winter / Snow Rating: Difficulty: 2.0 out of 5 Terrain: 2.0 out of 5 (1 is easiest, 5 is hardest)

You can check your answers for this puzzle on GeoChecker.com.

Additional Hints (Decrypt)

Qbja vafvqr & grgurerq

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)