Answer:
300
Step-by-step explanation:
This answer to this question is 1150 km
Answer:
Step-by-step explanation:
let x = the amount of money in the second piggy back
We assume that the second piggy bank has MORE than the piggy bank with $7.31 in it:
x - 7.31 ≤ 10
<u>Solution</u>
Add 7.31 to both sides: x - 7.31 + 7.31 ≤ 10 + 7.31
⇒ x ≤ 17.31
So simple interest, you don't compound anything, you will always add 3% from $9500 and it will not change. The equation will look like this:
9500*[1+(0.03*8)]
giving us 9500*1.24 = $11,780
You did it right (almost, I got 21 instead of 19) but didn't finish. You need to show your discriminant is never negative.
x² + (p+1)x = 5-2p
x² + (p+1)x +(2p-5) =0
Real roots mean a positive (or at least non-negative) discriminant:
D = b² - 4ac = (p+1)² - 4(1)(2p - 5) = p² + 2p + 1 - 8p + 20
D = p² - 6p + 21
It's not totally obvious that D>0; we prove that by completing the square by noting
(p-3)² = p² - 6p + 9
so
p² - 6p = (p-3)² - 9.
D = p² - 6p + 21
D = (p-3)² - 9 + 21
D = (p-3)² + 12
Now we clearly see D>0 always because the squared term can't be negative, so D is always at least 12. We always get two distinct real roots.
