Answer:
x=5
Step-by-step explanation:
If ABCD is a parallelogram, then AB = CD
AB=CD
6x-10 = 3x+5
Subtract 3x from each side
6x-3x -10 = 3x-3x+5
3x-10 = 5
Add 10 to each side
3x-10+10 = 5+10
3x = 15
Divide by 3 on each side
3x/3 =15/3
x=5
To solve this problem, you will have to first find how many US Dollars are in 1 Euro. Upon looking this up, I see that currently 1 Euro is worth 1.23 US Dollars. Next, you must calculate how many liters are in a gallon. Looking this up shows that 1 liter is equal to 0.264 gallons.
Since 0.264 is not a whole gallon and we are asked to find the price per gallon, we should next calculate how many liters can fit in a gallon. To do this, we will divide 1 by 0.264, which gives us 3.78. This tells us that 3.78 liters will fit into a gallon.
The cost of 1L of gas in euros is 1.50 Euros. Since we need 3.78L to equal 1 gallon, we can calculate the cost of this to be:
3.78 * 1.50 = €5.67
Earlier we determined that 1 euro is worth 1.23 US Dollars. Our final step is to convert our €5.67 per gallon to dollars per gallon. To do this, we simply have to multiply 5.67 by 1.23. This gives us $6.97.
So, our answer is that the cost is $6.97 per gallon.
Hopefully this is correct and makes sense to you. This is how I would approach the question.
This is an incomplete problem. The missing information is
Each bulleted statement describes how the amount of income tax is determined for
yearly income in different ranges.
1) Yearly incomes of $8,925 or less are taxed at a flat rate of 10%.
2) For yearly incomes from $8,926 to $36,250, the first $8,925 is taxed at 10%
and any income beyond $8,925 is taxed at 15%.
3) For yearly income greater than $36,250, the first $8,925 is taxed at 10%, the
next $27,325 is taxed at 15%, and any income beyond $36,250 is taxed at
25%
The taxable income of Mr. Vance corresponds to number 2.
⇒ 8,925 * 10% = 892.50
⇒ 35,675 - 8,925 = 26,750 * 15% = 4,012.50
Total tax = 892.50 + 4,012.50 = 4,905
Answer:
Step-by-step explanation:
We are given the function:
And we want to finds its zeros.
Therefore:
Firstly, we can divide everything by -4:
Factor out an x:
This is in quadratic form. For simplicity, we can let:
Then by substitution:
Factor:
Substitute back:
By the Zero Product Property:
Solving for each case:
Therefore, our real and complex zeros are:
