Answer:
m= 4
Step-by-step explanation:
3m +2n= 16 -----(1)
m -2n= 0 -----(2)
From (2):
m= 2n -----(3) (+2n on both sides)
subst. (3) into (1):
3(2n) +2n= 16
6n +2n= 16
8n= 16 (simplify)
n= 16 ÷8
n= 2
subst. n=2 into (3):
m= 2(2)
m= 4
Answer:
The exponential equation is;
F = 30,000(1.01)^30
The value is;
$40,435.50
Step-by-step explanation:
Here, we are to write an exponential equation
Exponential equations generally take the form;
F = I(1 + r)^t
where F is the future value
I is the initial value
r is the growth percentage
t is the time
with respect to the question;
F = ?
I = 3,000
t = 30
r = 10% = 10/100 = 0.1
Writing the equation, we have
F = 30,000(1.+ 0.1)^30
F = 30,000(1.01)^30
F = $40,435.50
Their speed of separation will be equal to the sum of their speeds because they are in opposite directions.
Speed of separation = 40 + 50 = 90 miles per hour
Time = distance / speed
Time = 405 / 90
Time = 4.5 hours
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Answer: 80
Step-by-step explanation:
Answer:
Option A. 4+5i
Step-by-step explanation:
we know that
The form of (a + bi) is known as a complex number where a and b are real numbers and i is an imaginary number equivalent to the square root of negative 1
we have the number
Remember
substitute