Answer:12
Step-by-step explanation:
Answer:
Please check the explanation!
Step-by-step explanation:
Finding the slope:
Taking two points to find the slope of the linear function
Slope = m = y₂-y₁ / x₂-x₁
= (13-10) / (3-2)
= 3 / 1
= 3
Thus, the slope = m = 3
Finding the common difference between consecutive terms of the arithmetic sequence
Given the sequence
10, 13, 16, 19
d = 13-10=3, d=16-13=3, d=19-16=3
Thus, the common difference between consecutive terms of the arithmetic sequence is:
d = 3
Finding the difference between the terms a₂ and a₄
a₂ = 13
a₄ = 19
The common difference between a₂ and a₄ = 19 - 13
= 6
Thus, the common difference between a₂ and a₄ = 6
Find the common difference of the Arithmetic Sequence
Given the sequence
10, 13, 16, 19
d = 13-10=3, d=16-13=3, d=19-16=3
As the common difference between all the adjacent terms is the same. Thus, the common difference of the Arithmetic will be: d = 3
<u>RESULT </u>
From the above calculations, we conclude that:
- The common difference between consecutive terms of the arithmetic sequence = 3
- The difference between the terms a₂ and a₄ = 6
- The common difference of the Arithmetic Sequence = 6
Thus,
The answer to the ''different'' question is: 6
The answer to the ''same'' three questions: 3
The effective rate of interest will be 9.10 %.
<h3>What is compound interest?</h3>
Compound interest is applicable when there will be a change in principle amount after the given time period.
Let's say you have given 100 for two years with a 10% rate of interest annually than for the second-year principle amount will become 110 instant of 100.
Given for simple interest
Principle amount = $650
Rate of interest = 12%
Time period = 7 months.
Interest= PRT/100
Interest= 650× 12 × 7/100 = 546
So final amount = 650 + 546 = $1196
By compound interest
1196 = 650![[1 + R/100]^{7}](https://tex.z-dn.net/?f=%5B1%20%2B%20R%2F100%5D%5E%7B7%7D)
R = 9.10%
Hence the effective rate of interest will be 9.10%.
For more information about compound interest,
brainly.com/question/26457073
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Write out the numbers between 24 and 33: {24, 25, 26, 27, 28, 29, 30, 31, 32, 33}
How many numbers have we here? 10.
How many of these numbers are odd? {25, 27, 29, 31, 33}
Strictly speaking, "between 24 and 33" does not include {24, 33}.
Thus, the odd numbers between 24 and 33 are {25, 27, 29, 31}
The chances of drawing an odd number between 24 and 33 are then 4 / 10.
If, however, we omit the endpoints 24 and 33, then there are 8 numbers between 24 and 33: {25, 27, 29, 31}
and the odds of choosing an odd number from these eight numbers is 4/8, or 1/2, or 0.50.
