Answer:
67.49
Step-by-step explanation:
Let the number of HCF be x.
Let the cost be y.
You are given 2 points of a line: (15, 32.84) and (43, 79.04).
Now we find the equation of the line that passes through those points.
y - y1 = m(x - x1)
y - 32.84 = [(79.04 - 32.84)/(43 - 15)](x - 15)
y - 32.84 = (46.2/28)(x - 15)
y - 32.84 = 1.65(x - 15)
y = 1.65x - 24.75 + 32.84
y = 1.65x + 8.09
Now we let x = 36 and solve for y.
y = 1.65(36) + 8.09
y = 67.49
Answer:
2 and 4, 4 and 8, 16 and 32
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Answer:
- boat speed: 17.25 mph
- current: 2.5 mph
Step-by-step explanation:
Upstream, the speed of the current (c) subtracts from the speed of the boat (b) to give the net speed. Downstream, the speed of the current adds. We can make use of the relation ...
speed = distance/time
b-c = 29.5/2 = 14.75 . . . . . miles/hour
b+c = 59.25/3 = 19.75 . . . .miles/hour
Subtracting the first equation from the second, we get ...
(b+c) -(b-c) = 19.75 -14.75
2c = 5
c = 2.5
Then either equation can be used to find b:
b = 14.75 +c = 17.25
The speed of the boat in still water is 17.25 miles per hour; the speed of the current is 2.5 miles per hour.
Answer:
7
232
Step-by-step explanation:
First
Normally the average of something is total something over total time. I'll do it that way and see what happens.
The total time is ( 4 - 2) = 2 hours.
f(x) = 2^4 - 2 = 14
Change = 14/2 = 7 per hour.
Second
Average = Increase / time.
10000 (1.02)^10 - 10000 * (1.02)^5
10000*1.22 - 10000*1.104
12,200 - 11040
1160
The average per year = 1160 / 5 = 232
