Answer:
1) $101,400
2) $27,000
Step-by-step explanation:
1) For this, we can first find how much she makes in a year from her salary alone:
$2,200×12= $26400.
Now, she also received a commission of 2.5%, so we can take this percentage from 3 million to find the total from commission:
3,000,000×0.025= $75,000
Adding these two gives us a total of $101400.
2) We can use the Simple Interest Formula to solve this (I= Prt). Plug in the values given to give us:
I= 5000(1.08)(5)
I= $27000
The amount in gallons of each milk containing 9% butterfat and milk containing 4% butterfat which must be used to obtain the desired 365 gallons are;
- 219 gallons of 9% fat.
- 146 gallons of 7% fat.
<h3>What quantity of each type of milk is required for the desired 365 gallon?</h3>
It follows from the task content that the quantity of each type of milk required to arrive at the targeted fat content and quantity of milk are to be determined.
Let x = quantity of 9% fat milk and
Let y = quantity of 4% fat milk
Therefore, by mass balance; we have;
x + y = 365.
Where; y = 365 - x.
Also, by fat balance; we have;
(9% × x) + (4% × y) = (7% × 365)
9x + 4y = 2555
Therefore, the two equations to be solved simultaneously by substituting y from the first equation into the second equation as follows;
9x + 4 (365 - x) = 2555
5x = 1095
x = 1095/5
x = 219 gallons.
Also, y = 365 - 219 = 146 gallons.
Read more on simultaneous equations;
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Answer:
Step-by-step explanation:
12%
t + 23 > 1 subtract 23 from both sides
t + 23 - 23 > 1 - 23
t > -22