If Clarissa had $18,000 in sales during the month of November, and she earns an 8% commission on the dollar value of her sales, then we first need to find out how much she made on commissions alone for the month of November. We can do that by multiplying the percentage by the amount of money she made off of sales.
To do this, we first must convert the percentage into a decimal. We can do this by either dividing the percent by 100, or (my personal shortcut) just shifting the decimal point over 2 places to the left.
8% = 0.08
Now, we multiply the decimal by the amount she made
0.08 * 18000 = 1440
So Clarissa made $1,440 off of commissions. But that's not what the question is asking. It wants to know what percentage of Clarissa's income for the month of November was from commissions. We can do this by adding her base pay to the amount she made from commissions, and then dividing the amount she got from commissions by the total amount she made for the month of November.
2400 + 1440 = 3840
1440 / 2840 = 0.375
We can convert this decimal back to a fraction by multiplying by 100
0.375 = 37.5%
37.5% of Clarissa's pay for the month of November was from commissions.
Hope that helped =)
Answer:
Look below.
Step-by-step explanation:
For one, g+g+g+g does not equal g^4. That equals g·g·g·g.
But like you said, 4g = g·g·g·g as well, so shouldn't they be equal?
The answer is more simple than you might expect:
We'll do the second one first. I don't know why, that is just how it is going to be done.
Let's assign a value to 'g'. We'll call it g = 3.
3 to the 4th power is
1) 3·3 = 9
2) 9·3 = 27
3) 27·3 = 81.
So 
= 81.
But, you probably figured out, with g = 3, that 4g = 12, since 3·4 = 12.
Obviously, 81 ≠ 27, meaning these are not the same, and that is the main difference.
Answer:
- A: 16,000,000 carats
- B: 4,000,000 carats
Step-by-step explanation:
If the ratio is ...
A : B = 4 : 1
Then the ratio to the total is ...
A : total = 4 : (4+1) = 4 : 5
B : total = 1 : (4+1) = 1 : 5
Country A produces (4/5)×20 M carats, or 16 million carats.
Country B produces the remainder, 4 million carats.
Answer:
Step-by-step explanation:
Step-by-step explanation:
Familiarize yourself with perfect squares in the neighborhood of 140:
10^2 = 100
11^2 = 121
12^2 = 144
Note that 140 is much closer to the perfect square than it is to the perfect square 121. The value of √140 must lie closer to 12 than to 11.
Place a point on the number line about 3/4 of the way from 11 to 12.
