Discriminant, D = b² - 4ac
x² - 4x + 5 = 0 comparing to ax² + bx + c = 0
a = 1, b = -4, c = 5
D = b² - 4ac = (-4)² - 4*1*5 = 16 - 20 = -4
In taking the square root of the discriminant of -4, √-4 = 2i = Not Real. So:
Discriminant is -4, so the equation has no real roots.
The second option is correct.
2 (an - 1) = 40
2an - 2 =40
2an = 40 - 2
2an = 38
2an/2 = 38/2
an = 19
The volume is B. 1296 because 16 times 9=144.144 times 9=1296.
Answer: interest = $ 3,629.34
Step-by-step explanation:
Complete question
(Marlie will be starting college next year, federal unsubsidized student loan in the amount of $18,800 at 4.29%. She knows that during this non-payment time, interest will accrue at 4.29%. Suppose Marlie only paid the interest during her four years in school and the six-month grace period. What will she now pay in interest over the term of the loan.)
This question relates to interest over a single period of time and since it's not compounded, we use formula for simple interest to calculate the interest accrued.
Data;
P = $18,800
R = 4.29% = 0.0429
T = 4.5 years
S.I = ?
S.I = PRT
S.I = 18,800 * 0.0429 * 4.5
S.I = $3,629.34
Therefore she'll need to pay $3,629.34 as interest accrued.
