Answer:
0.078125.
Step-by-step explanation:
This is a geometric sequence with first term a1 = 20 and common ratio r = 10/20 = 5/10 = 0.5.
nth term = a1 r^(n -1) so here:
9th term = 20(0.5)^(9-1)
= 20(0.5)^8
= 0.078125.
Answer:
6 containers
6 ounces of fruit snack will be left over
Step-by-step explanation:
1 pound = 16 ounces
⇒ ¹/₂ pound = 8 ounces
Total weight = weight of dried apples + weight of dried cranberries
= 36 + 18
= 54 ounces
Containers needed = total weight ÷ weight of snacks in one container
= 54 ÷ 8
= 6.75
Therefore, he will fill 6 containers
Snack left over = total weight - (number of containers × weight of snacks one container will hold)
= 54 - (6 × 8)
= 54 - 48
= 6 ounces
Answer:
5000
Step-by-step explanation:
In vertex form, the cost function is ...
C(x) = 3(x² -10x) +175 = 3(x² -10x +25) +175 -3(25)
C(x) = 3(x -5)² +100
The vertex is at x=5, so the cost function will be minimized when 5000 speed boats are produced.
5 million x 3% = 150,000
1 Year = 5,150,000
5.15 million x 3% = 154,500
2 Years = 5,304,500
5,304,500 x 3% = 159,135
3 Years = 5,463,635
5,463,635 x 3% = 163,909.05
4 Years = 5,627,544.05
5,627,544.05 x 3% = 168,826.322
5 Years = 5,796,370.37
After 5 years, the population will be 5,796,370.37
63/9 + 40 - 35/7 =
7 + 40 - 5 =
47 - 5 =
42 <==