Let
M---------------> money borrowed -------------> $9,850
r--------------> discounted rate--------> 9 ¼=9.25-------> 0.0925
t---------------> time--------> 9 months=9*30=270 days
D-------------> amount of the discount

we know that
D=M*r*t/360=(9850)*(0.0925)*(270/360)=683.34

the answer is $683.34

6 0

3 years ago

Sarah has a brother who is 5 years younger than herself and another brother who is 8 years younger than herself. She observes th

ELEN [110]

Answer:

Sarah is 13 years old

Step-by-step explanation:

Represent Sarah's age with S

Her first brother's age with F

Her second brother's age with B

So, we have:

From the first statement, we have:

$S - F = 5$ ---- (1)

From the second, we have:

$S - B = 8$ ---- (2)

The product of their ages is 40.

First, we make F the subject in (1) and B the subject in (2)

$F = S - 5$

$B = S - 8$

Their product is represented as follows:

$F * B = 40$

Substitute values for F and B

$(S - 5) * (S - 8)=40$

Open bracket

$S^2 - 5S -8S + 40 = 40$

$S^2 - 13S + 40 = 40$

Subtract 40 from both sides

$S^2 - 13S = 0$

Factorize:

$S(S - 13) = 0$

Split:

$S = 0$ or $S - 13 = 0$

But Sarah's age can't be 0 because she has two younger brothers.

So, we stick to

$S - 13 = 0$

Make S the subject

$S = 13$

Hence, Sarah is 13 years old

3 0

3 years ago

Line J M is the perpendicular bisector of LK.

drek231 [11]

Answer:

The congruent segments are LN and NK ⇒ C

Step-by-step explanation:

If a line is a perpendicular bisector of another line, that means this line intersects the other line in its midpoint and form right angles around this point

∵ Line JM is the perpendicular bisector of line LK

→ That means JM intersect LK at the midpoint of LK

∵ Line JM intersects line LK at point N

∴ Point N is the midpoint of LK

∵ N divides LK into two segments LN and NK

∵ N is the midpoint of LK

→ That means LN equals NK

∴ LN = NK

∴ The congruent segments are LN and NK

5 0

3 years ago