Nickels (0.05): Q + 6
Dimes (0.10): Q + 8
Quarters (0.25): Q
Nickels + Dimes + Quarters = Total
0.05(Q + 6) + 0.10(Q + 8) + 0.25(Q) = 4.70
0.05Q + 0.30 + 0.10Q + 0.80 + 0.25Q = 4.70
0.40Q + 1.10 = 4.70
0.40Q = 3.60
Q = 9
Nickels (0.05): Q + 6 = (9) + 6 = 15
Dimes (0.10): Q + 8 = (9) + 8 = 17
Answer: Nickels = 15, Dimes = 17, Quarters = 9
Answer:
6 terms
Step-by-step explanation:
2 − 2/4 + 2/9 − 2/16 + ...
∑ (-1)ⁿ⁺¹ 2 / n²
Applying alternating series test:
lim(n→∞) 2/n² = 0
2/(n+1)² < 2/n², so the series is decreasing.
Therefore, the series converges.
2/(n+1)² < 0.05
(n+1)²/2 > 20
(n+1)² > 40
n+1 > 6.32
n > 5.32
n = 6
The abscissa is the x coordinate whereas the ordinate is the y coordinate. Both x and y are positive in the first quadrant only.