Answer:

Step-by-step explanation:
In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;
4, 8, 12, 16, 20...80
The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d
a is the first term = 4
d is the common difference = 21-8 = 8-4 = 4
n is the number of terms
On substituting, Tn = 4+(n-1)4
Tn = 4+4n-4
Tn = 4n
The nth term of the series is 4n.
Since the last term is 80, L = 4n
80 = 4n
n = 80/4
n = 20
This shows that the total number of terms in the sequence is 20
According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80
, we are to take the sum of the first 20terms of the sequence. Using summation notation;
4 + 8 + 12 + 16 + 20+ . . . + 80 = 
Answer: -1.5
Step-by-step explanation:
Answer:
The mean is 70, that's all I know. Sorry!
Step-by-step explanation:
Here's how you find the mean:
1. Add together ALL NUMBERS. (which equals 560 in this case.)
2. DIVIDE by the amount of numbers there are. (So 560 ÷ 8 = 70)
3. There's your answer! The mean of these numbers is 70.
I really hope this helps! Have a great day\night!
Answer:
Answer: 1/12
Step-by-step explanation:
2/5x-4=8-3/5x.
We want to tank x out of the denominator by multiplying x on both sides.
2/5-4x=8x-3/5
Now we simplify
-12x=-1
x=1/12
Put x in the equation to check it
The amount of money that John would have in his account when he is ready to retire is $6,351,400.21.
<h3>How much would be in the retirement account?</h3>
The formula that can be used to determine the future value of the annuity is
Future value = Daily deposit x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
- r = 3.5 / 365 = 0.0096%
- n = (65 - 48) x 365 = 6205
Annuity factor = [(1.000096^6205) - 1] / 0.000096 = $8468.53
Future value = 750 x $8468.53 = $6,351,400.21
To learn more about annuities, please check: brainly.com/question/24108530
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