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mr Goodwill [35]
3 years ago
13

Mr. Castillo earns 270,920.64 a year. What is his monthly salary?

Mathematics
1 answer:
lozanna [386]3 years ago
8 0

We need to divide for this. Since there are 12 months in a year, we divide his yearly salary by 12.

270,920.64÷12=22,576.72


So, Mr.Castillo's monthly salary is $22,576.72.

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Which formula can you use to find the radius (r)r if you know that C=2πr?
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3 0
3 years ago
The sum of the first ten terms of a linear sequence is 145. the sum of the next ten term is 445. find the sum of the first four
chubhunter [2.5K]

The sum of the first four terms of the sequence is 22.

In this question,

The formula of sum of linear sequence is

S_n =\frac{n}{2}(2a+(n-1)d)

The sum of the first ten terms of a linear sequence is 145

⇒ S_{10} =\frac{10}{2}(2a+(10-1)d)

⇒ 145 = 5 (2a+9d)

⇒ \frac{145}{5} =2a+9d

⇒ 29 = 2a + 9d  ------- (1)

The sum of the next ten term is 445, so the sum of first twenty terms is

⇒ 145 + 445

⇒ S_{20} =\frac{20}{2}(2a+(20-1)d)

⇒ 590 = 10 (2a + 19d)

⇒ \frac{590}{10}=2a+19d

⇒ 59 = 2a + 19d -------- (2)

Now subtract (2) from (1),

⇒ 30 = 10d

⇒ d = \frac{30}{10}

⇒ d = 3

Substitute d in (1), we get

⇒ 29 = 2a + 9(3)

⇒ 29 = 2a + 27

⇒ 29 - 27 = 2a

⇒ 2 = 2a

⇒ a = \frac{2}{2}

⇒ a = 1

Thus, sum of first four terms is

⇒ S_4 =\frac{4}{2}(2(1)+(4-1)(3))

⇒ S_4 =2(2+(3)(3))

⇒ S₄ = 2(2+9)

⇒ S₄ = 2(11)

⇒ S₄ = 22.

Hence we can conclude that the sum of the first four terms of the sequence is 22.

Learn more about sum of sequence of n terms here

brainly.com/question/20385181

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1 year ago
if triangle ABC is an isosceles triangle and triangle DBE is an equilateral triangle, find each missing measure
BabaBlast [244]

Picture?? This question is incomplete just get a picture then I can answer it



6 0
3 years ago
C-c+a+ |a|; use a = 4, and c=5
Ulleksa [173]

Answer:

c-c+a+|a|

5-5+4+|4|

8

Step-by-step explanation:

5 0
3 years ago
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