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frutty [35]
2 years ago
7

Simplify: (x1/2y3)6 A) x12y18 B) x12y9 C) x3y18 D) x3y9

Mathematics
1 answer:
MAXImum [283]2 years ago
7 0
The Answer is C




Reason
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The diameter of a circle is 14ft. What is the circle's area?​
galina1969 [7]

Answer:

153.95 feet²

Step-by-step explanation:

Area = pi × r²

radius= 7ft (half of diameter)

3.14 × 7 × 7= 153.95

7 0
2 years ago
Mr. Nicholson accepts a job that pays an annual salary of $60,000. In his employment contract, he is given the option of choosin
Andre45 [30]

Answer:

1. Arithmetic: Add 3,500

The annual raise of 3,500 means add 3,500 to the previous year's salary

60,000 + 3,500 = 63,500

63,500 + 3,500 =  67,000

67,000 + 3,500 = 70,500

70,500 + 3,500 = 74,000

74,000 + 3,500 = 77,500

Geometric: Multiply by 1.05

The annual raise by 5% of his current salary means multiply by 1.05.

60,000 x 1.05 = 63,000

63,000 x 1.05 = 66,150

66,150 x 1.05 = 69,457.50

69,457.50 x 1.05 = 72,930.38 rounded

72,930.375 x 1.05 = 76,576.89

The first sequence is arithmetic because we add the same number (3,500) to the preceding term. The second sequence is geometric because we multiply the preceding term by the same number always (1.05.)

2a. Arithmetic - New salary is $3,500 greater each year than last year's salary

S = 60,000 + 3500(n-1)

Geometric - New salary is 5% more each year than last year's salary

60,000 + (1.05)^(n-1)

2b. Arithmetic Earnings over 3 years

60,000 + 63,500 + 67,000 = 190,500

Geometric Earnings over 3 years

60,000 + 63,000 + 66,150 = 189,150

There is a 1,000 dollar difference. In this case, the arithmetic increase of 3,500 dollars would be better for Mr. Nicholson. 1,000 dollars may or may not be considered a big difference. In my opinion, I'd say there is a slight difference between the two

3.Arithmetic

a(9) = 3,500 + a(9-1)

a(9) = 3,500 + 89,000

a(9) = 92,500

Geometric

a(9) = 1.05 x a(9-1)

a(9) = 1.05 x 84,425.90

a(9) = 88,647.20

4. In this case, both the 3 year and 9 year time frames favor the arithmetic increase of $3,500. At 3 years, he would have 190,500 compared to the geometric salary of 189,150. However, this is a small difference. If he is going to be at the company for 9 years, then definitely he should choose the first opportunity. 92,500 is significantly more money than 88,647.20. So, longer time frames only make the first opportunity, which is better to begin with, shine even more.

Step-by-step explanation:

Pls brain list

8 0
3 years ago
What is the vertical asympote of f(x)=x
Aleonysh [2.5K]
The answer isnt 7 thats forsure

8 0
3 years ago
Read 2 more answers
33% of what number is 1.45? Round to the nearest tenth.
tatuchka [14]

Take the unknown number as 'y'.

=》33% = 33/100

=》1.45 = 145/100

33/100 × y = 1.45

33/100 × y = 145/100

33y = 145/100 × 100/1

33y = 145

y = 145/33

y = 4.39

______

RainbowSalt2222 ☔

3 0
2 years ago
Read 2 more answers
The perimeter of a parallelogram is 72 meters. The width of the parallelogram is 4 m less than its length. find the link and the
AlladinOne [14]
The width is 16 and the length is 20
8 0
3 years ago
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