First, you calculate David's and Brad's unit rate.
David:
6.2 mi./1/4 hr. = 6.2 m./15 minutes
In an hour, there's 60 minutes. 60 divided by 4 is 15. So 1/4 of an hour is 15 minutes.
Brad:
11.9 mi./1/2 hr. = 11.9 mi./30 minutes
Once again, there's 60 minutes in an hour, so 1/2 of an hour is 30 minutes.
Okay, observing both of the unit rates, David's speed is just about half of Brad's speed. As a result, you multiply David's unit rate twice to get the same amount of time as Brad. It's easier to solve if you think about fractions since unit rates and fractions are just about the same. Now, multiply both the numerator and denominator by 2:
6.2 x 2 = 12.4, and 15 x 2 = 30
Now that you've multiplied them by two, David and Brad are now continuing at the same average speed.
David: 12.4 mi./30 min.
Brad: 11.9 mi./30 min.
David will finish the bicycle race first since he's gone farther than Brad.
I really hope I helped! :) There are so many other ways to solve this, but here's one way that I know best. If I didn't help, I'm sorry. I tried. :(
Answer:
3m/seconds
Step-by-step explanation:
In this problem we are required to solve for linear speed of the rotating wheel
The linear speed =angular speed x raduis
Given data
Radius r= 50cm
Converting from cm to m
50/100= 0.5m
Angular velocity w= 6rad/s
V=wr
V= 6*0.5m
V=3m/s
The linear speed is 3m/seconds
That would be at quadrant to so you want to plot -1 and then half a box to the left. Then you want to point -5 and then just go up half. Hope this helps
Answer:
Relationship between compound interest and exponential growth
C.I = ![P[(1 + \frac{R}{100})^{n} - 1]](https://tex.z-dn.net/?f=P%5B%281%20%2B%20%5Cfrac%7BR%7D%7B100%7D%29%5E%7Bn%7D%20-%201%5D)
where, P =Principal
R =Rate of interest, n= Duration i.e time interval for which money has been taken, C.I =Compound Interest
Exponential growth = A 
Where , A=Initial value of population, K= Rate at which population is declining in percentage, s=total time between starting population and final population
Now , If you compare between Exponential growth and compound interest
P→(Replaced by)→A,
R→(Replaced by)→K,
n→(Replaced by)→s,
As C.I is calculated for money, and Exponential word is used for both money as well as increase in population.
So, just replacing keeping the meaning same
C.I = ![P[(1 + \frac{R}{100})^{n}]](https://tex.z-dn.net/?f=P%5B%281%20%2B%20%5Cfrac%7BR%7D%7B100%7D%29%5E%7Bn%7D%5D)
- P
→Compound Interest = Exponential growth - Initial Value(either money or any population considered)
One of the angle of the triangle is 90 degrees which means it is a right angled triangle. Two angles are same i.e 45 degrees which means the angle is an isosceles triangle.
so, x = 17 (isosceles triangle)
then use pythagoreas theorem:
and x = 17, so simplify and
so
