Answer:
40 days
Step-by-step explanation:
Let x represent the original production time. Then 70x is the order quantity involved.
When the same order quantity is produced at a rate of 80 items per day for x-5 days, we have the equation ...
70x = 80(x -5)
70x = 80x -400
0 = 10x -400 . . . . . subtract 70x
0 = x -40 . . . . . . . . divide by 10
40 = x . . . . . . . . . . add 40
The original schedule was for production to take 40 days.
Answer:
a) $1056.33 b) 23 years
Step-by-step explanation:
a) 10000(1+1.85/100)^3=10565.33 (2d.p.)
b) let x be the no. of years
15000 = 10000(1+1.85/100)^x
1.5 = 1.0185^x
ln both sides
ln 1.5 = x ln 1.0185
x = ln 1.5/ln 1.0185
=22.11
=23 years (rounded up)
Answer:
C. x = 2
Step-by-step explanation:
Use rise over run to find slope. If you don't know what that is, its y2-y1/x2-x1. Y2 is 125, Y1 is 25, X2 is 5, and X1 is 1. You then plug the numbers in, 125-25=100. 5-1=4. then you divide 100/4, in which you get 25. So you times 25 by 3, getting 75.
Answer:
y=0.3x
Step-by-step explanation:
Formula = 
y α x
y = kx
Where k is the constant of proportionality.
When y = 1.5; x = 5;
We substitute these known values in the equation,
y = kx
1.5 = k5
Dividing both sides of the equation by 5 to find the value for k, we have
1.5/5= k0.3/5
Therefore,
K = 0.3
Having found the value of k,
We substitute this value into the relationship
y = kx
Therefore we have,
y = 0.3x.
The direct variation function is therefore,
y = 0.3x.
[RevyBreeze]
