Solve:
"<span>twice the number minus three times the reciprocal of the number is equal to 1."
3(1)
Let the number be n. Then 2n - ------- = 1
n
Mult all 3 terms by n to elim. the fractions:
2n^2 - 3 = n. Rearranging this, we get 2n^2 - n - 3 = 0.
We need to find the roots (zeros or solutions) of this quadratic equation.
Here a=2, b= -1 and c= -3. Let's find the discriminant b^2-4ac first:
disc. = (-1)^2 - 4(2)(-3) = 1 + 24 = 25.
That's good, because 25 is a perfect square.
-(-1) plus or minus 5 1 plus or minus 5
Then x = ------------------------------ = --------------------------
2(2) 4
x could be 6/4 = 3/2, or -5/4.
You must check both answers in the original equation. If the equation is true for one or the other or for both, then you have found one or more solutions.</span>
The first one is the answer
Answer:
a) 40 = 8b
b) b = 5
Step-by-step explanation:
(b) 40 = 8 × b
40 ÷ 8 = b
5 = b
Answer:
angle bisector..... I think
So Colin is required to pay $300 for 15 total months in order to get his credit card balance down to $0.
In order to find this total, we need to take the amount he is going to pay per month ($300) and multiply is by the total number of months that he is going to be paying that amount (15):
$300 * 15 months = $4,500
The total amount of money that he is going to pay after his card balance reaches $0 is $4,500.
However, Colin only maxed out his credit card to $4,000 - the rest of the money is due to interest. So to find this amount, we take the total amount that he paid ($4,500) and subtract it from the total amount he initially maxed out his card with ($4,000):
$4,500 - $4,000 = $500
The amount of interest that Colin has paid when his credit card balance is $0 is $500.
