Given:
Growth rate = 30% decrease
To find:
The growth factor associated with the given growth rate.
Solution:
The general exponential function is:


Where, a is the initial value, r is the growth rate in decimal and
is the growth factor.
It is given that the growth rate is 30% decrease. So,



Now,




Therefore, the growth factor is 0.7.
Given:
A pilot can travel 450 miles with the wind in the same amount of time as 360 miles against the wind.
Pilot's speed in still air is 315 miles per hour.
To find:
The speed of the wind.
Solution:
Let the speed of wind be x miles per hour.
Speed with wind = 315+x miles per hour
Speed against wind = 315-x miles per hour
We know that,

According to the question,

Divide both sides by 90.

By cross multiplication, we get




Divide both sides by 9.


Therefore, the speed of wind is 35 miles per hour.
45/100 is 4,500%
2/5 is 40%
18/40 is 45%
15/25 is 60%
Answer:
Step-by-step explanation:
As per midsegment theorem of a trapezoid,
Segment joining the midpoints of the legs of the of the trapezoid is parallel to the bases and measure half of their sum.
Length of midsegment = 
3). MN = 
= 14
4). MN = 
= 66.5
5). MN = 
7 = 
14 = AB + 10
AB = 14 - 10
AB = 4
6). 15 = ![\frac{1}{2}[(3x+2)+(2x-2)]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%283x%2B2%29%2B%282x-2%29%5D)
30 = 5x
x = 6
Answer: 1 5/8 is equivalent to 1.625
Step-by-step explanation: