Answer:
375000
Step-by-step explanation:
We have that in this case the following proportion would be fulfilled:
Price * Distance / area
Now, we have that for a distance of 45 km and an area of 900 m ^ 2 the price is 250,000, now for a distance of 40 km but with an area of 1,200 m ^ 2, how would the price be, we replace:
250000 * 45/900 = P * 40/1200
12500 * 1200/40 = P
P = 375000
Which means that for these conditions the price is 375000.
Answer:
The nominal GDP growth rate between 1998 and 2018 was 126.20 percent.
Step-by-step explanation:
Given that in 1998 the country's GDP was $ 9,063 and in 2018 it was $ 20,501, to determine the nominal growth rate of the nation's GDP, the following calculation must be made:
9,063 = 100
20,501 = X
((20,501 x 100) / 9,063) = X
2,050,100 / 9,063 = X
226.20 = X
226.20 - 100 = 126.20
Therefore, the nominal GDP growth rate between 1998 and 2018 was 126.20 percent.
Answer:
We have the function g(x) = x^3 -15*x
First, to find extrema, we can find the zeros of the first derivative.
g'(x) = 3*x^2 -15
g'(x) = 0 = 3*x^2 - 15
x^2 = 15/3 = 5
x = √5
x = -√5
Now, watching at the second derivative we have:
g''(x) = 6*x
so when we have
g''(√5) = 6*√5 > 0 then x = √5 is a local minimum
g''(-√5) = -6*√5 < 0, then x = -√5 is a local maximum.
1)

The water ballon will hit the ground after
1.66447 seconds.
--------
2)

The height will be
12 feet if t = 1 second.