Answer:
$55.25
Step-by-step explanation:
35% × 85 = 29.75
85 - 29.75
= 55.25
To find the nature of solutions of a quadratic equation we can find the discriminant.
The standard form of a quadratic equation is ax² + bx + c = 0.
Formula to find the discriminant = b² - 4ac.
So, first step is to compare the given equation with the above equation to get the value of a, b, and c.
After comparing the two equations we will get a =1, b = 9 and c = 20.
Next step is to plug in these value in the formula of discriminant. So,
Discriminant = 9² - 4(1)(20)
= 81 - 80
= 1
Since 1 is a positive perfect square number.
So, we will get two real solutions for this equation.
Hence, the correct choice is C.
Hope this helps you.
Answer:
Hope that will help you
Step-by-step explanation:
BD = 14.5
Answer:
(0, 0) and (3, 0)
Step-by-step explanation:
Zeros of any equation means, value of variable x at y = 0.
Given quadratic equation is,
y = -x(x - 3)
For y = 0,
-x(x - 3) = 0
x = 0
And (x - 3) = 0
x = 3
Therefore, x-intercepts of the given quadratic equation will be,
x = 0, 3
Points showing the x-intercepts will be,
(0, 0) and (3, 0)
Answer:
Principal: $6,166.67
Principal: $5,200.00
Explanation:
<u><em>1. $6000 for 50 days at 20% p.a</em></u>
<u><em></em></u>
In 20% pa, pa means "per annum", i.e. "per year".
Assume simple interest:
Interest:
- Interest = Principal × number of days × annual rate / 360
- Interest = $6,000 × 50 × 20% / 360 = $166.67
Principal = principal + interest = $6,000 + $166.67 = $6,166.67
<u><em></em></u>
<u><em>2. $5000 for 5 months at 0.8% per month</em></u>
Assume, again, simple interest.
- interest: 0.80% per month
Interest:
- Interest = Principal × number of months × montly rate
- Interest = $5,000 × 5 × 0.80% = $200.00
Principal = principal + interest = $5,000 + $200.00 = $5,200
You can see that the accrued interests depend on the principal, the interest rate, and the time.
