To do this you times 3 by 4 and add it on to the numerator of the fraction, to turn it into a top heavy fraction:
3*4 = 12
1+12/3 = 13/3
Then you multiply the numerator by 21 to work out what 21 times the fraction is:
13*21/3 = 273/3
Then you can divide 273 by 3 to get the final answer:
273/3 = 91
He will have 91 peaches overall.
Hope this helps! :)
The ordered pair maximizes the objective function p = 3x + 8y will be (5, 6) .Option C is correct.
<h3>What is the objective function?</h3>
The objective function is simply an equation that represents the goal production capability that relates to maximizing profits in relation to manufacturing.
On putting the values we will get the values one by one. We get;
1. (0, 0)
![3 (0)+8(0) = 0](https://tex.z-dn.net/?f=3%20%280%29%2B8%280%29%20%3D%200)
2. (2,7)
![3(2)+8(7)=62](https://tex.z-dn.net/?f=3%282%29%2B8%287%29%3D62)
3. (5,6)
![3(5)+8(6)=63](https://tex.z-dn.net/?f=3%285%29%2B8%286%29%3D63)
4. (8,1)
![3(8)+8(1)=42](https://tex.z-dn.net/?f=3%288%29%2B8%281%29%3D42)
The maximum value obtained from the 63. Obtained from option C. The ordered pair maximizes the objective function p = 3x + 8y will be (5, 6)
Hence option C is correct.
To learn more about the objective function refer to the link;
brainly.com/question/15830007
9514 1404 393
Answer:
a. $3,455.20
Step-by-step explanation:
The monthly payment is given by the amortization formula:
A = P(r/12)/(1 -(1 +r/12)^(-12t))
for loan amount P at annual rate r for t years.
For this mortgage, we use P = $530,000, r = 0.068, t = 30.
A = $530,000(0.068/12)/(1 -(1 +0.068/12)^(-360)) ≈ $3,455.20
The monthly payment is $3,455.20.
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<em>Additional comment</em>
In 7 years, the balloon payment will be $481,559.91.
<span>The Least Common Multiple (LCM) is: 2 x 2 x 2 x 3 x 7 = 168</span>