Answer:
$80,000
Step-by-step explanation:
<u>Define the variables</u>:
Let x = "fish-flavored" chicken company investment (in dollars)
Let y = spray-on vitamins company investment (in dollars)
If Allen invested a total of $100,000:
⇒ x + y = 100000
Given:
- 3% profit on "fish-flavored" chicken investment
- 1% profit on pray-on vitamins investment
- Total profit = $2,600
⇒ 0.03x + 0.01y = 2600
Rewrite the first equation to make y the subject:
⇒ y = 100000 - x
Substitute into the second equation and solve for x:
⇒ 0.03x + 0.01(100000 - x) = 2600
⇒ 0.03x + 1000 - 0.01x = 2600
⇒ 0.02x + 1000 = 2600
⇒ 0.02x = 1600
⇒ x = 80000
Therefore, Allen invested $80,000 in the "fish-flavored" chicken company.
Answer:
13
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Adam is building birdhouses that requires 
i.e 0.5 feet long boards.
Now, he has an 
i.e. 8.25 feet longboard and wants to cut each 0.5 feet longboards.
We have to calculate the number of pieces of exactly 0.5 feet length that can be made from this 8.25 feet longboard.
Now, 
So, there can be 16 whole board of exact length 0.5 feet. (Answer)
Answer:
1/6
Step-by-step explanation:
A six sided die has 6 options, you can roll a 1,2,3,4,5,6. You cannot "remove" numbers and with a single die, you can't roll anymore than one number at a time. 2 is one option out of 6, therefore your answer is 1/6.
