part A:
company a
30m+15
m= matress
company b
28m+21
m=matresses sold
part B:
company a
30(6)+15
195$
company b
28(6)+21
189$
company B charges less
part C:
company a
30(3)+15
105$
company b
28(3)+21
105$
there is no change at all so you do not save anything.
Answer:
b = 5
Step-by-step explanation:
89b = 411 + 34 (445)
89b = 445
b = 5
Answer:
Step-by-step explanation:
Let the 3-digit number is <u>abc</u> = 100a + 10b + c.
<u>We have:</u>
- 100a + 10b + c - 100c - 10b - a = 297
- b = a - 6
- a = 2c - 2
<u>Simplify the first equation:</u>
- 99a - 99c = 297
- a - c = 3
- a = c + 3
<u>Solve for c by substitution:</u>
- 2c - 2 = c + 3
- 2c - c = 3 + 2
- c = 5
<u>Find a:</u>
<u>Find b:</u>
<u>The number is:</u>
Answer:
See below.
Step-by-step explanation:
Fifth root of 243 = 3,
Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),
then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
Equating equal parts and using de Moivre's theorem:
r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240
r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p
So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360
So there are 5 distinct solutions given by:
3(cos 48 + i sin 48),
3(cos 120 + i sin 120),
3(cos 192 + i sin 192),
3(cos 264 + i sin 264),
3(cos 336 + i sin 336).. (Answer).
K = y/x OR y = kx
hope it helps!
