Answer:

Step-by-step explanation:
cot(-11pi/6)=cot(-pi-5pi/6)= -cot(5pi/6)=cot(pi/6)=
≈1.73
Firstly, solve the effective annual interest (ieff) with the equation,
ieff = (1 + i/m)^m -1
where i is the interest rate and m is the number of times the interest is compounded in a year. In this problem, m is 12
Substituting the values,
ieff = (1 + 0.034/12)^12 - 1 =0.03453
To solve for the future (F) amount of the present investment (P),
F = P x (1 + ieff)^n
where n is number of years.
F = ($742) x (1 + 0.03453)^15
Thus, the answer is $1234.76.
Answer: x = -4 ; Angle = 60°
Concept:
The given figure is a triangle with 3 arc signs on each angle. This <u>arc sign </u>stands for the corresponding angles are congruent, which in this question, it shows that all three angles are congruent. Sometimes, if the figure has multiple angles and there are different groupings of congruent angles, then we use different numbers of arcs or symbols.
Solve:
<u>Given information</u>
An angle = 3x + 72
Total measure of angles = 180 (triangle angle sum theorem)
Total number of congruent angles = 3
<u>Given expression</u>
Total measure = Total number of congruent angles × An angle measure
<u>Substitute values into the expression</u>
180 = 3 (3x + 72)
<u>Divide 3 on both sides</u>
180 / 3 = 3 (3x + 72) / 3
60 = 3x + 72
<u>Subtract 72 on both sides</u>
60 - 72 = 3x + 72 - 72
-12 = 3x
<u>Divide 3 on both sides</u>
-12 / 3 = 3x / 3

<u />
<u>Find the angle measure</u>
3x + 72 = 3 (-4) + 72 = 
Hope this helps!! :)
Please let me know if you have any questions
20 cupcakes will cost $49.60. You divide 44.64 by 18 and get 2.48. Multiply 2.48 by two getting 4.96. Then you add 44.64 and 4.96 together and get your answer.