Answer:
f(x) = 0.5x + 5
Domain: positive whole numbers
Range: f(x) ≥ 5
Step-by-step explanation:
Let's x denote the total number of fruit juice.
This means that if $0.5 for each fruit juice, then the total cost incurred for fruit juice would be $0.5x.
Since she incurred a cost of $5 for 100 cups and $0.5 for each fruit juice, then the total cost, f(x), would be:
f(x) = 0.5x + 5
The domain would be all positive whole numbers (it is restricted to positive whole numbers because a fruit juice can't be "negative" neither can it be "half").
The range is all numbers equal or greater than 5. This is because, even if she does not eventually get fruit juice, she will still incur a cost of 5usd for cups.
35 people have red hair. Do 700 times 0.05.
Answer:
Paasche's Index= 168.63= 169
Step-by-step explanation:
<em><u>Products</u></em>
<em><u>Base-Period Current Period</u></em>
Quantities Mean Shipping Quantities Mean Shipping
(Year 1) Cost per Unit ($) (Year 5) Cost per Unit ($)
A 1,500 10.50 4000 15.90
B 5,000 16.25 3000 33.00
C 6,500 12.20 8000 18.40
D 2,500 20.00 3000 35.50
Paasche's Index= ∑ pn.qn/∑po.qn* 100
Where pn is the price of the current year and qn is the quantity of the current year and po. is the price of the base year and qo. is the quantity of the base year.
Paasche's Index is the percentage ratio of the aggregate of given period prices weighted by the quantities sold or consumed in the given period to the aggregate of the base period prices weighted by the given period quantities.
Multiplying the current year prices with the current year quantities and the base year price with the current year quantities we get.
Product pn.qn po.qn
A 15.90* 4000 10.50* 4000
= 63600 =42000
B 33.00*3000 16.25 * 3000
= 99000 = 48750
C 18.40* 8000 12.20 *8000
=147200 =97600
D 35.50* 3000 20.00*3000
<u> =</u><u>106500 60,000 </u><u> </u>
<u>∑ 416300 248350 </u>
<u />
Paasche's Index= ∑ pn.qn/∑po.qn= <u> </u>416300/ 248350 *100 = 1.676=1.68= 168.63= 169
<u />
Answer:
x=12 ADB= 56 BDC= 54
Step-by-step explanation:
ADB and BDC are complementary, so they add up to 90 degrees. In other words ADB+BDC= 90 So I can input my knowns into the equation
(3x+10) + (4x-4) = 90
I combined like terms to give me 7x+6=90
Then I subtract 6 from both sides giving me 7x=84
Last I divide 7 on both sides. x=12
Then I input the x (12) into the equation and solve it from there
3(12)+10 and 4(12)-4
3(12)+10=56
4(12)-4=54
. . . I think. Hope this helps!
Yes it is, any decimal after the number one will be bigger than one
