Answer:
The laspeyres method of weighted aggregate price index is used of LIFO inventory valuation, therefore laspeyres index number is 106.08
Step-by-step explanation:
First of all we would have to perform the following table:
Product Ending Inventory(Q0) Begining(P0) Ending(P1) P0×Q0 P1×Q0
A 500 0.15 0.21 75 105
B 50 1.60 1.80 80 90
C 100 4.50 4.20 450 420
D 40 12.00 13.40 480 536
Total 1085 1151
Therefore, using laspeyres index number, we calculate the following:
laspeyres index number=(∑P1×Q0/∑P0×Q0)×100
laspeyres index number=(1151/1085)×100
laspeyres index number=106.08
The city contributed $13,500; the county contributed $27,000; and the state contributed $54,000.
Let x be the amount the city contributes. Since the county contributes twice as much as the city, the county's amount is 2x. Since the state contributes twice as much as the county, the state's amount is 2(2x) = 4x.
They total 94,500:
x+2x+4x = 94500
7x = 94500
Divide both sides by 7:
x = 13500
2x = 27000
4x = 54000
We can represent the cost of the notebooks with by saying 0.75n, and the cost of the pens by saying 0.55p.
0.75n+0.55p will be the total cost before tax. Now, we need to add on tax. Tax will be 0.0625 times the total amount, so we can represent the cost by saying
(0.75n+0.55p) + 0.0625(0.75n+0.55p), so the answer is B.
For both of the contests, the variable is the number of competitors which we can set as x.
Consequently, the equation should be 5.50x+34.60=4.25x+64.60
5.50x=4.25x+30
1.25x=30
x=24
The fee of the contests is the same when there are 24 competitors
Answer:
y = 0.5 (x^2 -2x + 16) has a y-intercept of 8.
Step-by-step explanation:
The x-coordinate of every y-intercept is zero. To determine which of the four quadratics given here has a y-intercept of 8, we need only substitute 0 for x in each; if the result is 8, we've found the desired quadratic.
O y = 0.5(x + 2)(x + 4) becomes y = 0.5(2)(4) = 4 (reject this answer)
O y = 0.5 (x - 2)(x + 8) becomes y = 0.5(-2)(8) = -8 (reject)
O y = 0.5(x2 -2x - 16) becomes y = 0.5(-16) = -8 (reject)
<em>O y = 0.5 (x2 -2x + 16) becomes y = 0.5(16) = 8 This is correct; that '8' represents the y-intercept (0, 8).</em>
