Test 09E ('09 TMSCA State)

[nsguy1350]

I wish I was a bit more accurate on NCs (I usually miss around 5), and I need to learn how to do all these stated/geometry! Unfortunately, if the tests I post aren't on here, geometry is a lost cause.
Got a 296 on Math, and a 199 on this. Can't ever get that goal of mine. :( 47 correct, 18 wrong/skipped, 2 NC misses

8. Frank runs a mile in 7 min 25 sec. What is his time in a 26.22 mile marathon if his velocity decreases by 10%?

27. The monthly payment MP equals [unparseable or potentially dangerous latex formula] where P is the principal, i is the annual interest rate divided by 12 and n is the number of months. If Harry can afford to pay $350 monthly for a car, and the annual interest rate is 5.4%, how many months will it take to pay out a $19,900 lo-an? (integer)

Sorry, I got lazy, and I checked and yes, this test is on TCM.
Can you guys help on 37,38,39,40,47 (HP32Sii keystrokes please, or general keystrokes), 49,50,56,57,59, and 60?
THANKYOUSOMUCH. :D

[FabensMath]

#8. Since it's asking the answer in hours, you need to convert your rate to hours.
[unparseable or potentially dangerous latex formula]
Velocity is distance over time.
[unparseable or potentially dangerous latex formula]
Since his velocity in the marathon was decreased by 10%, he only ran 90% of his first velocity.
[unparseable or potentially dangerous latex formula] This is the new velocity.

[unparseable or potentially dangerous latex formula]

[FabensMath]

27. I'm not too sure how to explain this one, but you might just get it like this:
[unparseable or potentially dangerous latex formula]

[FabensMath]

37. This one combines scaling principles and unit conversions.
Do a proportion of the man and the colossus with length and area:
[unparseable or potentially dangerous latex formula]

This is so surface area, and to find the volume, multiply by the thickness of the bronze, which you need to convert to meters first.
[unparseable or potentially dangerous latex formula]
[unparseable or potentially dangerous latex formula]
Then convert to cm^3.
[unparseable or potentially dangerous latex formula]
Convert to grams and then to pounds.
[unparseable or potentially dangerous latex formula]

Of course i'm not good with memorizing conversions, so i just do them on the 89, they're actually pretty quick.

[FabensMath]

39. Well, personally i do all geom/stated on 89 so i'm gonna give you key strokes on 89.

Radius of inscribed circle on scalene triangle is:
[unparseable or potentially dangerous latex formula]
So you need to find the 3rd side, start by imputing this on your 89
[unparseable or potentially dangerous latex formula]
(The little stick before the x is "with" or something like that so it would read "with x equals to 32.1", which saves time of imputing it twice or so. This is the stick under the equals sign on your calculator. If you want more info. it's on the manual on pg.50 and 277
Then your gonna get something like sqrt{y^2-49.8222y+1030.41}
Highlight this and enter, then after it include: [unparseable or potentially dangerous latex formula] giving you 20.9242

Having your 3 sides, just substitute:
[unparseable or potentially dangerous latex formula]

[FabensMath]

Here same thing with law of cosines:
[unparseable or potentially dangerous latex formula]
Giving you: sqrt{y^2-101.882y+6889}
Then you put "|y=116" at the end, giving you 92.3402 as your third side.

Now you can do law of sines.
[unparseable or potentially dangerous latex formula]

[unparseable or potentially dangerous latex formula]