Answer:
Step-by-step explanation:
P, A, and R are collinear.
PR = 54
To solve for the numerical length of PR, let's generate an equation to find the value of x.
According to the segment addition postulate:
(substitution)
Solve for x
Combine like terms
Add 2 to both sides
Divide both sides by 7
Plug in the value of x into the equation
Explanation:
Pair 1 is true if Jeff's monthly income is $600/20% = $3,000.
Pair 2 is true if Jeff's monthly income is $1200/10% = $12,000.
Both pairs can be true if Jeff's monthly income increased by a factor of 4 in the 20 years from 1990 to 2010.
Obviously, Jeff spent more on housing in 2010. (Fortunately for Jeff, that larger expenditure was a smaller fraction of his income.)
Answer:
Step-by-step explanation:
Suppose the dimensions of the playground are x and y.
The total amount of the fence used is given and it is 780 ft. In terms of x and y this would be 3x+2y=780 (we add 3x because we want it to be cut in the middle). Therefore, y= 780/2-3/2x. Now, the total area (A )to be fenced is
A=x*y= x*(390-3/2x)=-3/2 x^2+390x
Calculating the derivative of A and setting it equals to 0 to find the maximum
A'= -3x+390=0
This yields x=130.
Therefore y=780/2-3/2*130=195
Thus, the maximum area is 130*195=25,350ft^2
Any with an odd number of minus signs.
Perhaps the 1st and 4th, if I read it right.
Answer:
9.68%
Step-by-step explanation:
cost of car = $35,000
down payment = $3,000
number of monthly instalments= $65
amount in every monthly instalment= $539.99
total monthly payment= 65×539.99= 35099.35
amount to be paid apart from downpayment= $35,000-3000= 32,000
therefore total interest paid in 65 months= 35099.35-3200= $3099.35
now, monthly interest rate 
⇒ r= 9.68%
