Answer:
250 miles
Step-by-step explanation:
The given distance between the house and the beach is 125 miles.
Let
miles be the distance between the house and the lunch stop.
So, at the time of the lunch stop, he already traveled
miles, the remaining distance is the distance between the lunch stop and the beach.
Let
miles be the remaining distance, so

Give that the ratio of the distance he has traveled,
, to the distance he still has to travel,
, is
,i.e








Hence, the distance traveled by Herman when he stops for lunch is 250 miles.
T = 40000 + 40000(1.03) + 40000(1.03)^2 + ... + 40000(1.03)^15
Multiply the above equation by 1.03 giving
1.03(T) = 40000(1.03) + 40000(1.03)^2 + 40000(1.03)^3 + ... + 40000(1.03)^15 + 40000(1.03)^16
Now subtract the first equation from the second to give
0.03T = 40000(1.03)^16 - 40000
0.03T = 40000(1.03^16 - 1)
0.03T = 24188.26
T = 24188.26 / 0.03 = $806275.25
Y = k / x² ( y varies inversely as the square of x )
y = 1/8 when x = 1:
1/8 = k / 1²
8 k = 1
k = 1/8
For x = 5:
y = 1/8 / 5² = 1/8 : 25 = 1/8 · 1/25 = 1/200
Answer: A ) 1/200
Hello there.
Which of the following is an unintended consequence of China's one-child policy?
Women are less likely to pursue higher education degrees.
3(3x - 2)
Distribute (multiply) 2 inside the parentheses.
3 * 3x and 3 * -2
9x - 6