(7 + i) - (6 - 2i) = 7 + i - 6 + 2i = 1 + 3i
Answer:
≈ 78.55 cm
Step-by-step explanation:
Using the ratio of arc (AB) to circumference (C) is equal to the ratio of angle subtended at centre by arc AB to 360°, that is
= 
, that is
= ( cross- multiply )
110C = 8640 ( divide both sides by 110 )
C = 
≈ 78.55 cm ( to 2 dec. places )
Answer:
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $300
r = 10% = 10/100 = 0.1
n = 2 because it was compounded 2 times in a year(6 months).
t = 3 years
Therefore,
A = 300(1 + 0.1/2)^2 × 3
A = 300(1 + 0.05)^6
A = 300(1.05)^6
A = $402.03
Answer:
Step-by-step explanation:
If you treat (x+5) as a single value and (x-2) as the values of x and +2, you can distribute (x+5) to x and +2: ( (x-5)*x + (x-5)*2 ). Then you can treat x-5 as the values of x and -5 and distribute those to the numbers next to them: (×^2 - 5x) + (2x - 10). This results in x^2 -3x - 10.
