Russ' checking account charges an $11.25 monthly service fee and a $0.22 per-check fee. If Russ writes 14 checks per month, shou
2 answers:
The total amount that present account charges is the sum of the monthly service fee and the total per check fee.
The monthly service fee is $11.25
The per check fee is $0.22. Therefore, the total check fee for 14 checks will be dollars.
Therefore the total amount that the present account charges is dollars.
As can be clearly seen, this is still less than the second option of a checking account that charges a $14.50 monthly service fee and no per-check fee. Therefore, Russ should <u>not</u> he switch to a checking account that charges a $14.50 monthly service fee and no per-check fee.
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Answer:
y = 120°
z = 32°
Step-by-step explanation:
For the sake of simplicity, I labeled one of the interior angles as m < 1 (Please see the attached screenshot). I did this because m < 1 and the exterior angle on the same side of the transversal have the same measure of m < 60°.
Therefore, m < 1 = m < 60°
Next, since m < 1 = 60°, then we can add its measure to < y°, which will sum up to 180° (given that they are supplementary angles).
We can establish the following formula to solve for < y°:
m < 1 + < y ° = 180°
Let's rearrange the formula to isolate < y°:
< y ° = 180° - m < 1
Substitute the value of m < 1 into the revised formula:
< y = 180°- 60°
< y = 120°
Now that we have the value for y°, we can find out what the value of z is by creating another formula:
< (5z - 100)° = 180° - y°
Substitute the value of y° into the formula:
5z - 100° = 180° - 120°
Combine like terms:
5z - 100° = 60°
Add 100° on both sides:
5z - 100° + 100° = 60° + 100°
5z = 160°
Divide both sides by 5:
< z = 32°
Double-check whether we derived the correct answers by plugging in the values of y° and z° into the following formula:
y° + (5z - 100)° = 180° (because they are supplementary angles)
120° + [5(32) - 100]° = 180°
120° + [5(32) - 100]° = 180°
120° + [160 - 100]° = 180°
120° + 60° = 180°
180° = 180° (True statement).
Therefore, the value of y = 120° and z = 32°.
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