So here is how we are going to solve the problem.
Let C be the cost of the chicken, and D as the cost of the duck.
The equation would be like this:
50c + 30d = 550 (divide this by 10)
5c + 3d = 55
3d = 55 - 5c (multiply by 3)
9d = 165 - 15c
Next,
44c + 36d = 532 (divide this by 4)
11c + 9d = 133
Now, substitute the value of 9d and it becomes
11c + 165 - 15c = 133
11c - 15c = 133 - 165
-4c = -32 (divide by -4)
c = 8
Therefore, the cost of each chicken is $8.00
Now going back to d,
9d = 165 - 15c (substitute c)
9d = 165 - 15(8)
9d = 165 - 120
9d = 45 (divide by 9)
d = 5
So the cost per duck is $5.00
Hope this helps.
If you would like to simplify <span>-4 * (7x - 3y - z) - 6 - (-6) * (9x - z + 2), you can do this using the following steps:
</span>-4 * (7x - 3y - z) - 6 - (-6) * (9x - z + 2<span>) = -4 * 7x + 4 * 3y + 4z - 6 - (-6 * 9x + 6z - 6 * 2) = -28x + 12y + 4z - 6 - (-54x + 6z - 12) = </span>-28x + 12y + 4z - 6 + 54x - 6z + 12 = <span>-28x + 54x + 12y + 4z - 6z + 12 - 6 = 26x + 12y - 2z + 6
</span>
The correct result would be <span>26x + 12y - 2z + 6.</span>
Answer:
Interest: $402.20
Total Debt owed: $9,302.00
Step 1: Multiply the principal (the original amount borrowed) by the interest rate (%):
$8,300 x 4% = 360.00 (interest for one year)
Step 2: Find out how many years she will be paying back the loan and add that number of years to the first payment year ($360). ($360 + 5years = 365 total payments) Then multiply the total number of payments by the interest rate ($365 x .04 = $14.60 interest per payment).
Step 3: Add up all the yearly interests ($14.60 per payment x 12 months = $181.20 yearly interest)
Step 4: Add the yearly interest to the total debt owed.
$9,302 + $181.20 = $9,483.20 total debt
Total amount owing after 5 years = $8,300+($365 x .04 interest rate per payment for 60 months)=10,605.00 dollars owed in 5 years of payments. Interest owed is 10,605 x .04=$410.20 for a grand total of 10,915.20 dollars owed overall for this 4% loan which was paid back over a period of five years with twelve monthly payments per year at four percent interest rate per month ($410.20/12=$34.02).
Answer:
m∠ADB = 59°
Step-by-step explanation:
I've provided my work which also includes how I check my answers by using the information given! Hope this helps!!! If you have any questions, I can try to help.
Answer:
Step-by-step explanation:
We are solving for the segment of AB. Note that it is a line segment, so there will be end points, those being A(-4, 5) & B(2, -5).
Use the following distance formula:
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Let:
Point B(2 , -5) = (x₁ , y₁)
Point A(-4 , 5) = (x₂ , y₂)
Plug in the corresponding numbers to the corresponding variables.
Simplify. Remember to follow PEMDAS. First, solve the parenthesis, then the powers, then add, and then finally square root.
Simplify:
is your answer.
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