Answer:
Number of week they have same amount = 4 week
Step-by-step explanation:
Given:
Amount Joe have = $14
Joe's saving per week = $10
Amount Josh have = $26
Josh saving per week = $7
Find:
Number of week they have same amount
Assume;
Number of week they have same amount = a
So,
(14 + 10a) = (26 + 7a)
3a = 12
a = 4
So,
Number of week they have same amount = 4 week
3(x-1)2+3(y+3)=243
3(x-1)2+3y+9=243
3(x2-1)+3y+9=243
3x2-3+3y+9=243
32+3y-3+9=243
32+3y=243+3-9
3y(y+1)=237
Infinite many solutions is when you can put any number in X and it will be true, therefore both equations must be the same:
73x + 71 = 73x + 71
P = 71 and Q = 73
Answer:
(b) 65/27
Step-by-step explanation:
Here, we notice the index for the summation runs from 0 to 3, so there are a total of 4 terms.
The sum represented by the summation symbol is ...
5(-2/3)^0 +5(-2/3)^1 +5(-2/3)^2 +5(-2/3)^3
= 5(1 -2/3 +4/9 -8/27)
= 5/27(27 -18 +12 -8)
= 5(13/27) = 65/27
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There is a formula for the sum of a geometric series:
Sn = a1×(1 -r^n)/(1 -r)
Here, the first term is a1 = 5(-2/3)^0 = 5. The common ratio is the base of the exponential, r = -2/3. So, the sum of n=4 terms is ...
S4 = 5×(1 -(-2/3)^4)/(1 -(-2/3)) = 5×(1 -16/81)/(5/3) = 65/27