Factor the equation 5x^2+60x+160
1 answer:
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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.
Since ABCD is a parallelogram, line AB and line DC are parallel and has the same value.
To solve this, equate line AB to be equal with line DC.
So,
Line AB = Line DC
(9x-14)in = (3x +4)in
Next group like terms to get the value of x
9x in-3x in = 4in+14in
= 
x = 3in
Since, we now have the value of x, substitute it to line DC’s equation.
DC=(3x+4)in
DC=(3(3) +4)in
DC=(9 +4) in
DC= 13 in
To check if the value is really correct, substitute X to AB
AB=(9x -14)in
AB=(9(3)-14)in
AB=(27-14)in
AB=13 in
To solve this, equate line AB to be equal with line DC.
So,
Line AB = Line DC
(9x-14)in = (3x +4)in
Next group like terms to get the value of x
9x in-3x in = 4in+14in
x = 3in
Since, we now have the value of x, substitute it to line DC’s equation.
DC=(3x+4)in
DC=(3(3) +4)in
DC=(9 +4) in
DC= 13 in
To check if the value is really correct, substitute X to AB
AB=(9x -14)in
AB=(9(3)-14)in
AB=(27-14)in
AB=13 in