Answer:
x = C, 35
Step-by-step explanation:
This involves two steps. First, you have to know that all the angles of a triangle add up to 180. So the first thing we do is find the angle of the whole red part. 180 - 73 - 51 = 56. Then, we have that one of the angles near it is 21 and the other angle is x. To find x, we do 51 - 21 = 35. Therefore, 35 = x.
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Answer:
The members of the cabinet can be appointed in 121,080,960 different ways.
Step-by-step explanation:
The rank is important(matters), which means that the order in which the candidates are chosen is important. That is, if we exchange the position of two candidates, it is a new outcome. So we use the permutations formula to solve this quesiton.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
If there are 14 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?
Permutations of 8 from a set of 14. So
The members of the cabinet can be appointed in 121,080,960 different ways.
The equation would be: (x + 6)^2 + (y + 3)^2 = 25
This equation will produce a circle. If you add the numbers inside the parenthesis to be squared, you can center of the circle. Thus, translating the shape.
Answer:
48 inches
Step-by-step explanation:
12 in=1
24 in = 2
36 in = 3
48 in = 4
Add 12 everytime
Answer:
Difference= $3,090.15 in favor of compounded interest
Step-by-step explanation:
Giving the following information:
Present value (PV)= $8,500
Ineterest (i)= 0.025/12= 0.00208
Number of periods (n)= 360 months
<u>We will calculate the future value of each option and determine the difference:</u>
<u>Simple interest:</u>
FV= (PV*i*n) + PV
FV= (8,500*0.00208*360) + 8,500
FV= $14,864.8
<u>Compounded interest:</u>
FV= PV*(1+i)^n
FV= 8,500*(1.00208^360)
FV= $17,958.95
Difference= $3,090.15