Answer: the increase each year is 423 tv sets
Step-by-step explanation:
The formula for determining the sum of n terms of an arithmetic sequence is expressed as
Sn = n/2[2a + (n - 1)d]
Where
n represents the number of terms in the arithmetic sequence.
d represents the common difference of the terms in the arithmetic sequence.
a represents the first term of the arithmetic sequence.
From the information given,
n = 10 years
a = 1000
S10 = 29035
We want to determine d which is the amount by which the production increased each year. Therefore, the sum of the first 10 years would be
29035 = 10/2[2 × 1000 + (10 - 1)d]
29035 = 5[2000 + 9d]
29035/5 = [2000 + 9d]
9d = 5807 - 2000 = 3807
d = 3807/9 = 423
Answer:
25 in
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Identify</u>
Leg a = 24
Leg b = 7 in
Leg c = <em>x</em>
<em />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Pythagorean Theorem]: 24² + 7² = x²
- Evaluate exponents: 576 + 49 = x²
- Add: 625 = x²
- [Equality Property] Square root both sides: 25 = x
- Rewrite/Rearrange: x = 25
Answer:
6 is the answer
Step-by-step explanation:
1) 11 1/8
2) 5/7
3)it would be 233/3 but since that isn't your option try going with 23/3
4) 10 / 16
5) 9/3 = 3 (aka 3/1 ) then 3/9 = 0.3.
Answer for number 5 ⬇
Therefore 9/3 would be your greatest
~the fractions doesn't equal each other~{meaning that the equal sign wouldn't be your answer} ~
~3/9 Would be lesser than 9/3~
~just make the fraction into division .it might help ~
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For improper fraction just multiply and add
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Looking for the equivalent of the fractions... try dividing as well
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Example of a improper fraction
Problem : 12 3/5
Work: 12(5) = 60
60 +( 3 )= 63
Answer : 63/ 5
(note: don't worry about the example .... its not apart of the questions you asked.. but you can if you want to ... don't get me wrong.. if it was helpful you can use it )
☺
Answer:
.31
Step-by-step explanation:
