There's no real need to rationalize the denominator in the second term, since
and this term is ready to be integrated via the power rule. Rationalizing doesn't really help here.
Answer:
$2,323.2
Step-by-step explanation:
A = P(1 + r/n)^nt
Where,
A = future value = ?
P = present value = 2,000
r = interest rate = 5% = 0.05
n = number of periods = 12
t = time = 3 years
A = P(1 + r/n)^nt
= 2,000(1 + 0.05/12)^12*3
= 2,000( 1 + 0.00417)^36
= 2,000( 1.00417)^36
= 2,000(1.1616)
= 2,323.2
A = $2,323.2
Answer:
1. mean=1.5, median=1.7, mode is 1.8
2. mean=102,median=134, mode=no mode
3. mean=1885,median=2300, mode=2300
Step-by-step explanation:
It would be the first graph because 150/5 is 30, so the boat costs $30 per hour as shown.
Plane's air speed is 437.5 mph
Wind velocity is 87.5 mph
An actual question hasn't been asked, but an educated guess would be to determine the plane's airspeed or the wind velocity. So I'll calculate those values for you.
When traveling with the wind, the combined speed is 2100/4 = 525 mph.
When traveling against the wind, the combined speed is 2100/6 = 350 mph.
So we can create 2 equations with 2 unknowns. They are:
a - b = 350
a + b = 525
Let's add the two equations together.
a - b = 350
a + b = 525
2a = 875
a = 437.5
So the plane's speed in still air is 437.5 mph.
Let's calculate the wind velocity.
a + b = 525
437.5 + b = 525
b = 87.5
And the wind velocity is 87.5 mph
