Answer: 1,904.92308 if you round it that will be 1904.9 or 1904.92
I used a calculator
Each letter of the alphabet is worth two times as much as the one before it, implying that the value of each letter rises in mathematical progression. The formula for finding the nth term of an arithmetic progression would be used. I am written as
a + (n - 1)d = Tn
Where
The number of terms in the arithmetic sequence is represented by n.
The common difference of the terms in the arithmetic sequence is represented by d.
The first term of the arithmetic sequence is represented by a.
Tn stands for the nth word.
Based on the facts provided,
n = 26 characters1 Equals a
3 minus 1 equals 2 (difference between 2 letters)
Therefore,
1 + (26 - 1)2 = T26
51 = T26
The formula for calculating the sum of an arithmetic sequence's n terms
is as follows:
[2a + (n - 1)d] Sn = n/2
As a result, S26 is the sum of the first 26 terms.
S26 = 20/2[2 1 + (26 - 1)2] S26 = 20/2
[2 + 50] S26 =
676 = S26 = 13 52
Answer:
y
=
2
x
−
1
Explanation:
First, we need to determine the slope of the line. The formula for determining the slope of a line is:
m
=
y
2
−
y
1
x
2
−
x
1
where
m
is the slope and the x and y terms are for the points:
(
x
1
,
y
1
)
and
(
x
2
,
y
2
)
For this problem the slope is:
m
=
3
−
−
1
2
−
0
m
=
3
+
1
2
m
=
4
2
m
=
2
Now, selecting one of the points we can use the point slope formula to find the equation.
The point slope formula is:
y
−
y
1
=
m
(
x
−
x
1
)
Substituting one of our points gives:
y
−
−
1
=
2
(
x
−
0
)
y
+
1
=
2
x
Solving for
y
to put this in standard form gives:
y
+
1
−
1
=
2
x
−
1
y
+
0
=
2
x
−
1
y
=
2
x
−
1
Answer linky
=
2
x
−
1
Explanation:
First, we need to determine the slope of the line. The formula for determining the slope of a line is:
m
=
y
2
−
y
1
x
2
−
x
1
where
m
is the slope and the x and y terms are for the points:
(
x
1
,
y
1
)
and
(
x
2
,
y
2
)
For this problem the slope is:
m
=
3
−
−
1
2
−
0
m
=
3
+
1
2
m
=
4
2
m
=
2
Now, selecting one of the points we can use the point slope formula to find the equation.
The point slope formula is:
y
−
y
1
=
m
(
x
−
x
1
)
Substituting one of our points gives:
y
−
−
1
=
2
(
x
−
0
)
y
+
1
=
2
x
Solving for
y
to put this in standard form gives:
y
+
1
−
1
=
2
x
−
1
y
+
0
=
2
x
−
1
y
=
2
x
−
1
Answer link
Answer:
Sylvia's investment would double first
Step-by-step explanation:
The number of years it takes for amount invested to double itself using the 72 rule is 72 divided by rate of interest as computed below:
Sylvia investment:
Sylvia's investment would double in 9 years' time (72/8)
Manuel's investment"
Manuel investment of $600 would double itself in 9.9 years' time (72/7.25)
From the above analysis,Sylvia's investment of $500 at the 8% rate of interest would double first
Answer:
d. 1/4
Step-by-step explanation:
The ratio of adjacent terms is the common ratio:
(3/12)/(3/3) = 3/12 = 1/4
