Answer:
Step-by-step explanation:
a) Mark any two points in line a
(0,7) ; (5,-3)
Find the slope
slope = y2 - y1 /x2-x1
Equation: y-y1 = m(x-x1)
y - 7 = -2(x - 0)
y - 7 = -2x
y = -2x + 7 --------> line a
c) equation of line b
(2,-1); slope = -2 {as b line is parallel to line a}
y - y1 =m(x-x1)
y -(-1) = -2*(x - 2)
y + 1 = -2x - 2*-2
y + 1 = -2x + 2
y = -2x + 2 -1
y = -2x +1 ------> equation of line b
Answer:
The correct answer is D. 3 % p. a .
Step-by-step explanation:
For the investment offered, Martin is supposed to get $180 as an interest ($6,180 - $6,000).
Now Martin is borrowing $6,000 from the bank to make this investment. He should be charged $180, so that he breaks even on investment.
Thus using the formula:
Interest= Principal × Time ( per annum) × ; (Here simple and compound interest are same as the sum borrowed is to be charged for a single year)
⇒ 180 = × 1 × Interest rate
⇒ 180 = 60 × Interest rate
⇒ Interest rate = 3
Thus the correct answer is 3% per annum.
Answer: In June 2097
Step-by-step explanation:
According to the model, to find how many years t should take for we must solve the equation
. Substracting 21100 from both sides, this equation is equivalent to
.
Using the quadratic formula, the solutions are and
. The solution
can be neglected as the time t is a nonnegative number, therefore
.
The value of t is approximately 85 and a half years and the initial time of this model is the January 1, 2012. Adding 85 years to the initial time gives the date January 2097, and finally adding the remaining half year (six months) we conclude that the date is June 2097.