This is an arithmetic series, where S5 means the sum of the first 5 numbers in the series. The general formula is:
Sn = (n/2)(a1 + an)
So,
a1 = 1 + 5/2(1) = 3.5
a5 = 1 + 5/2(5) = 1.5
S5 = (5/2)(3.5+1.5)
S5 = 12.5
<em>The answer should be 12.5</em>
Answer:
The system is given by the two equations:
x + y = 100000
0.06*x + 0.085*y = 0.08*(100000)
Step-by-step explanation:
The total money Connor has is $100,000. He wants to split it between two accounts, therefore the money that he'll apply on one account "x" plus the money that he'll apply on the other account "y" must be equal to the total he has. The first equation of the system, must be:
x + y = 100000
Since the first account gives a return of 6% and the second account gives a return of 8.5%, then the first account will give a return of 0.06*x and the second account will give a return of 0.085*y. The sum of this values must be equal to what he desires to recieve, therefore:
0.06*x + 0.085*y = 0.08*(100000)
The system is given by the two equations:
x + y = 100000
0.06*x + 0.085*y = 0.08*(100000)
Step-by-step explanation:
so the answer you got pls mark branlist
<u>Given:</u>
Take west to be the positive direction. The height of a sloped roof above the place where you stand is 12 feet. If you move 3 feet west, the height is 10 feet.
We need to determine the slope.
Let x denote the standing place.
Let y denote the height.
Writing the given as coordinates, we get;
(0,12) and (3,10)
<u>Slope</u>:
The slope can be determined using the formula,
Substituting the coordinates (0,12) and (3,10), we have;
Thus, the slope is 
