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shutvik [7]
3 years ago
6

Assign two variables for each problem, and write the equations. Do not solve.

Mathematics
1 answer:
Xelga [282]3 years ago
7 0
Call the number of trumpet players "T" and the number of horn players "H".

We can use the given information to set up equations:

1."<span>the number of trumpet players is 4 times the number of French horn players"
T=4H

2. "</span><span>There are 35 trumpet and French horn players in the band."
T+H=35

If you were asked to solve you could now do it by substitution:
4H+H=35
5H=35
H=7
T=4H
T=4(7)
T=28</span>
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3 years ago
You take out a cash advance of $2,790.00 on a credit card with a 3.5% cash advance fee and a 13.5% APR. What is the amount due b
nadya68 [22]
The first thing to consider is that when computing the APR for one month you must divide the interest rate by 12 since the 13.5% is based annually. 13.5% is equivalent to .135 in decimal form. But then when we divide it by 12 we get, (.135)/12 = .01125 which is your monthly interest rate versus your annual one. When multiplied by the amount of the cash advance you come up with the following fee:  (principle)(monthly int. rate) = total interest charged for month    ($2,790)(.01125)             = $31.3875 The next thing to consider is the additional charge of the 3.5%. This is equivalent to .035 in decimal form. When multiplied by the amount of the cash advance you come up with the following fee: (principle)(advance int. fee) = total cash advance fee    ($2790)(.035)                 = $97.65  So the total amount due at the end of the month would be $2790 + $31.39 + $97.65 = $2919.04 after interest rates and the additional fee gets applied. 
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