Answer:
q = 14
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Equality Properties
- Complementary Angles: Angles that add up to 90°
Step-by-step explanation:
<u>Step 1: Set up equation</u>
<em>The 2 angles must add up to 90°.</em>
(4q - 5)° + 39° = 90°
<u>Step 2: Solve for </u><u><em>q</em></u>
- Combine like terms: 4q + 34 = 90
- Subtract 34 on both sides: 4q = 56
- Divide both sides by 4: q = 14
Answer:
-9, 2/5
Step-by-step explanation:

30000 due at the end of 60 years
I'll assume that the number of days in year is 360
I=30,000×0.05×(60÷360)=250
Cash in hand at the beginning of 60 days is
30,000−250=29,750
The effective rate is
R=I÷pt
R=250÷(29,750×(60÷360))
R=0.0504×100
R=5.04%
Answer:
it took her 35 minutes to finish
Part 1:
The table showing the decreasing debt is shown as follows:
![\begin{tabular} {|c|c|c|c|} Starting Balance&Interest Accrued&Payment&Closing Balance\\[1ex] \$1,853.42&\$22.39&\$400&\$1,475.81\\\$1,475.81&\$17.83&\$400&\$1,093.64\\\$1,093.64&\$13.21&\$200&\$906.85\\\$906.85&\$10.96&\$200&\$717.81\\\$717.81&\$8.67&\$200&\$526.48\\\$526.48&\$6.36&\$200&\$332.84\\\$332.84&\$4.02&\$200&\$136.86\\\$136.86&\$1.65&\$138.51&- \end{tabular}](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%0A%7B%7Cc%7Cc%7Cc%7Cc%7C%7D%0AStarting%20Balance%26Interest%20Accrued%26Payment%26Closing%20Balance%5C%5C%5B1ex%5D%0A%5C%241%2C853.42%26%5C%2422.39%26%5C%24400%26%5C%241%2C475.81%5C%5C%5C%241%2C475.81%26%5C%2417.83%26%5C%24400%26%5C%241%2C093.64%5C%5C%5C%241%2C093.64%26%5C%2413.21%26%5C%24200%26%5C%24906.85%5C%5C%5C%24906.85%26%5C%2410.96%26%5C%24200%26%5C%24717.81%5C%5C%5C%24717.81%26%5C%248.67%26%5C%24200%26%5C%24526.48%5C%5C%5C%24526.48%26%5C%246.36%26%5C%24200%26%5C%24332.84%5C%5C%5C%24332.84%26%5C%244.02%26%5C%24200%26%5C%24136.86%5C%5C%5C%24136.86%26%5C%241.65%26%5C%24138.51%26-%0A%5Cend%7Btabular%7D)
The column for interest accrued is obtained by the folmular

where P is the month's starting balance.
Part 2:
From the table, the last payment is $138.51
Part 3:
The total amount paid by the time the credit card is payed of is the summation of the "payment" column of the table.
Thus, the total amount is given by:

Part 4:
The debt ratio is given by