Answer:
$608.33 or $608.32645 not rounded
Step-by-step explanation:
A=P(1+r/n)^nt P=500 r=0.04 n=1 t=5
A=500(1+0.04/1)^1x5
A=500(1.04)^5
A=500(1.2166529)
A=608.32645
Answer:
Barbara's speed in clear weather is
and in the thunderstorm is
.
Step-by-step explanation:
Let
be the speed and
be the time Barbara drives in clear weather, and let
be the speed and
be the time she drives in the thunderstorm.
Barbara drives 22 mph lower in the thunderstorm than in the clear weather; therefore,
(1). ![v_2 = v_1 -22](https://tex.z-dn.net/?f=v_2%20%3D%20v_1%20-22)
Also,
(2).
(3).
,
and
(4). ![t_1+t_2 = 2.25hr](https://tex.z-dn.net/?f=t_1%2Bt_2%20%3D%202.25hr)
From equations (2) and (3) we get:
![t_1 = \dfrac{45}{v_1}](https://tex.z-dn.net/?f=t_1%20%3D%20%5Cdfrac%7B45%7D%7Bv_1%7D)
![t_2 =\dfrac{57}{v_2}](https://tex.z-dn.net/?f=t_2%20%3D%5Cdfrac%7B57%7D%7Bv_2%7D)
putting these in equation (4) we get:
![\dfrac{45}{v_1}+\dfrac{57}{v_2}=2.25](https://tex.z-dn.net/?f=%5Cdfrac%7B45%7D%7Bv_1%7D%2B%5Cdfrac%7B57%7D%7Bv_2%7D%3D2.25)
and substituting for
from equation (1) we get:
![\dfrac{45}{v_1}+\dfrac{57}{v_1-22}=2.25](https://tex.z-dn.net/?f=%5Cdfrac%7B45%7D%7Bv_1%7D%2B%5Cdfrac%7B57%7D%7Bv_1-22%7D%3D2.25)
This equation can be rewritten as
![2.25v_1^2-151.5v_1+990=0](https://tex.z-dn.net/?f=2.25v_1%5E2-151.5v_1%2B990%3D0)
which has solutions
![v_1 = 60](https://tex.z-dn.net/?f=v_1%20%3D%2060)
![v_1 = 7.33](https://tex.z-dn.net/?f=v_1%20%3D%207.33)
We take the first solution
because it gives a positive value for ![v_2:](https://tex.z-dn.net/?f=v_2%3A)
![v_2 = v_1 -22](https://tex.z-dn.net/?f=v_2%20%3D%20v_1%20-22)
![v_2 = 60 -22\\](https://tex.z-dn.net/?f=v_2%20%3D%2060%20-22%5C%5C)
.
Thus, Barbara's speed in clear weather is
and in the thunderstorm is
.
Answer:
can u type it so i can answer, i cant see it
Step-by-step explanation:
Answer:
if you are asking in all how many feet he walked the 24ft
Step-by-step explanation:
Answer:
30%
Step-by-step explanation: