Answer:
The equation has NO solution ⇒ C
Step-by-step explanation:
- An absolute value of a number means the value of the number without its sign
- IxI = m, then x = m or x = -m
- Example: I2I = 2 and I-2I = 2
<u><em>V.I.N:</em></u><em> </em>
- <em>Absolute </em><em>never give a negative</em><em> value</em>
- <em>If the number </em><em>on the other side of the equation negative</em><em> then the </em><em>equation has no solution</em>
Let us solve the question
∵ Ix + 3I = -6
∵ The right side of the equation is negative
∵ Absolute never give a negative value
→ By using the 2nd note above
∴ The equation has NO solution
Answer:
<u>The correct answer is that Deb will have to pay US$ 6,914.25 at the end of the loan.</u>
Step-by-step explanation:
<u>Loan in US$:</u> 6,300
<u>Term:</u> One Year
<u>Interest rate: </u>9.75% annually
1. Let's calculate how much money Deb will pay in interests for the loan:
Loan * Interest rate * Term
6,300 * 0.0975 * 1
<u>614,25</u>
<u>Deb will have to pay US$ 614,25 in interests for the loan</u>
2. Let's calculate how much money Deb will pay back at the end of the loan term
Loan in US$ + Interests in US$
6,300 + 614,25
<u>6,914,25</u>
<u>At the end of the loan Deb will have to pay $ 6,914.25</u>
Sin(A) / a = Sin(C)/c
Sin(A) = a * Sin(C)/c
Sin(A) = 32 * Sin(30)/16
Sin(A) = 32 * 0.03125
Sin(A) = 1
A = 90°
<span>By the law of sines, angle A must be 90 degrees. That makes side a the hypotenuse of a 30-60-90 triangle. There is only one triangle. The third side is 16</span>√<span>3, and the third angle 60</span>°<span>.</span>