Answer:
i) 28 - 30i
ii) 36 + 28i
Step-by-step explanation:
i) x = 6 + i ⇒2x = 2(6 + i) = 12 + 2i
z = 4 - 8i ⇒ 4z = 4(4 - 8i) = 16 - 32i
2x + 4z = (12 + 2i) + (16 - 32i) = 28 - 30i
ii) w = -1 + 5i and z = 4 - 8i
w × z = (-1 + 5i)(4 - 8i) = -4 + 8i + 20i - 40
⇒collect like terms
w × z = -4 + 28i - 40
∵ 
∴w × z = -4 + 28i - 40(-1) = -4 + 28i + 40 = 36 + 28i
-3 is further away from 0 because if you graph it on a number line, it will show that -3 is one unit further from 0 than -2.
Answer:
I = 2,340
Step-by-step explanation:
The formula for interest is
I = P × R × T / 100
P = $5200
R = 15%
T= 36 months; T is meant to be in years so we will convert it from months to years
1 year = 12 months
So 36 months
= 36 /12 = 3 years
I = (5200 × 15 × 3)/100
I = 234,000 / 100
I = 2,340
M equals 3.
That's your answer
Yess, such fun so
q=number of quarter
n=number of nickles
q+n=63
9.15=915 cents
25 cents=1 q
5 cents=1 n so
915=25q+5n
915=5(5q+n)
divide by 5
183=5q+n
we also have q+n=63
subtract q from both sides
n=63-q
subsitute 63-q for n in second equation
183=5q+63-q
add like terms
183=4q+63
subtract 63 from both sides
120=4q
divdie by 4
30=q
there were 30 quarters
subsitute
63=30+n
subtract 30
33=n
30 quarters
33 nicles
