Answer:
Step-by-step explanation:
Natsano can satisfy his constraints by investing the first $20,000 in Company A, then splitting the remaining $35,000 evenly between the companies. For best return, he needs to invest as much as possible in Company B, but each such dollar (after the first 20k) must be matched by a dollar invested in Company A. That is, his investments should be ...
- Company A: $37,500
- Company B: $17,500
_____
The attached graph shows the feasible region of investments (doubly shaded). The vertex that maximizes the objective function (return on investment) is the one highlighted. (It puts the objective function line as far as possible from the origin.)
_____
Sometimes graphing the constraints is more work than necessary if there is some simple logic that quickly identifies the solution.
Answer:
The answer to your question is: letter B. 16 days
Step-by-step explanation:
Materials = $3.89 square foot
Day of labor = $121.26
Total $2982.68
Square feet = 252 more than the number of days
Process
materials = days of labor + 252
materials = m
days of labor = d
m = d + 252 (I)
Total Equation
3.89m + 121.26d = 2982.68
3.89(d + 252) + 121.26d = 2982.68
3.89d + 980.28 + 121.26d = 2982.68
3.89d + 121.26d = 2982.68 - 980.28
125.15d = 2002.4
d = 16
Number of days 16.
I believe it’s C, 21 divided by 7. This one doesn’t leave any extra mugs out cause 21 divided by 7 is 3, leaving 7 mugs per 3 shelves and having none left.
Answer:
This is a complete lesson with instruction & exercises for 5th grade about multiplying decimals by decimals. The interpretation for multiplying a decimal by a decimal is to think of it as taking a fractional part of a decimal number (the symbol × translates to "of"). The lesson compares multiplication by a decimal to scaling & shrinking a stick. Lastly, it shows the common shortcut to decimal multiplication (multiply as if there were no decimal points; the answer has as many decimals as the factors have in total.)
In the video below, I explain the rule for multiplying decimals (put as many decimal digits in the answer as there are in the factors.) I explain where this rule comes from, using fraction multiplication. The lesson continues below the video.
You are cheating. I see this is a test.
