It's C = 80h + 50. Umesh gets 80$ per hour(80 * h), plus 50 per job, no matter how much time he spends on it.
(a) We use product rule here. P'(x) = F'(x)G(x) + F(x)G'(x).P'(2) = F'(2)G(2) + F(2)G'(2). Looking at the graph: F'(2) = 0, F(2) = 3, G'(2) = 1/2, G(2) = 2. Hence, P'(2) = (0)(2) + (3)(1/2) = 1.5.
(b) Using the quotient rule here. Q'(x) = (G(x)F'(x) - F(x)G'(x))/G(x)^2. Looking at the graph: F'(7) = 1/4, F(7) = 5, G'(7) = -3/2, G(7) = 1. Q'(7) = (1*1/4-5*(-3/2))/1^2 = 31/4 = 7.75.
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Answer: D. 80% of the home’s value</h3>
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Explanation:
As you probably expect, the first number 80 refers to the percentage the first loan covers. If the house is say $100,000, then the first loan is $80,000 while the second loan is the remaining $20,000.
An 80/20 mortgage, or similar, will have two monthly payments because you are getting two mortgages bundled together. Usually you should pay a down payment, though it may likely depend on your credit history. Those with good credit will pay less or no down payment, compared to those with worse credit will have to pay more down payment. A good rule of thumb is that 20% of the home's value is made as down payment, though this isn't what the "20" in "80/20" is referring to.
An 80% down payment is extremely high and unreasonable. Not many people have that kind of money laying around. A similar story applies to a 20% interest rate which is incredibly large for a mortgage rate (typically they are in the single digits such as 3%).
Answer: Angle 2 = 47 degree
Explanation:
Proof that triangle ACB ~ triangle CBD
Angle ABC = Angle CBD (same angle)
If one pair of the angle is the same then the other pair should also be equal because both the triangle are Isosceles.
=> angle ACD = Angle CDB
Therefore, triangle ACB ~ triangle CBD (AA)
=> angle C = Angle A
But angle A = 47 degree
Therefore, Angle C = Angle 2 = 47 degree
