Answer:
The roots of the equation is real and repeated
Step-by-step explanation:
Here, we want to describe the nature of the roots of the given quadratic equation
To get the nature of the roots, we find the discriminant of the equation
The discriminant is;
b^2 - 4ac
In this case, b = -28 , a = 49 and c = 4
The discriminant is thus;
-28^2 - 4(49)(4)
= 784 - 784 = 0
Since the discriminant is zero, this means that the quadratic equation has real roots which are the same
Answer: A kite is generally not considered a parallelogram. A kite is usually defined as having two sets of consecutive congruent sides. If the definition includes the phrase two DISTINCT sets of congruent sides it will not be a parallelogram, as the opposite sides will not be congruent.
Step-by-step explanation:
At approximately 4.5 hours.
15.75x + 70 = 13.25x + 81
15.75x - 13.25x = 81 - 70
2.5x = 11
x = 4.4
found to the nearest tenth 4.5
Answer:
You will have $623.3441462 in your account after 7 years
Step-by-step explanation:
The formula of the compounded interest is A = P
, where
- n is the number of periods
∵ You are opening a savings account with $500
∴ P = 500
∵ The bank offers 3.2% interest, compounded yearly
∴ r = 3.2% ⇒ divide it by 100 to change it to decimal
∴ r = 3.2 ÷ 100 = 0.032
∵ The interest is compounded yearly
∴ n = 1
∵ The time is 7 years
∴ t = 7
→ Substitute these values in the rule above to find A
∵ A = 500 
∴ A = 500 
∴ A = 623.3441462
∴ You will have $623.3441462 in your account after 7 years