The sum of any geometric sequence (if it converges, r^2<1) is of the form:
s(n)=a(1-r^n)/(1-r), a=initial term, r=common ratio, n=number of terms...
s(n)=30(1-0.4^n)/(0.6)
s(n)=50(1-0.4^n)
Since r<1 the sum of the infinite series is just:
s=50
Answer:
2x and 7y, because they have different variables.
Step-by-step explanation:
The answer is 9.5 ( rounded, answer is 9.486833)
3333 333333 3333333 slot like a million
Collin invested $5529 in the account paying 2% and $2171 in the account paying 9% interest.
<u>Explanation:</u>
Let x be amount invested at 2%
So, 7700 - x will be the amount invested at 9%
0.02(x) + 0.09(7800 - x) = 315
0.02x + 702 - 0.09x = 315
-0.07x = -387
x = $5529
7700 - x = 7700 - 5529
= $2171
Collin invested $5529 in the account paying 2% and $2171 in the account paying 9% interest.
