Answer:
115 mi
Step-by-step explanation:
speed = distance/time
distance = speed * time
0.5 hours at 50 mph
distance = 50 mph * 0.5 h = 25 mi
1.5 hours at 60 mph
distance = 60 mph * 1.5 h = 90 mi
total distance = 25 mi + 90 mi = 115 mi
Answer:
x=2
Step-by-step explanation:
Option B
The amount in account after 3 years is $ 12444.66
<em><u>Solution:</u></em>
Given that,
$9500 is invested at an interest rate of 9%, compounded continuously
<em><u>The formula for total amount when interest is compounded continuously:</u></em>
![A = p e^{rt}](https://tex.z-dn.net/?f=A%20%3D%20p%20e%5E%7Brt%7D)
Where "p" is the principal
"r" is the rate of interest
"t" is the number of years
In this problem,
p = 9500
![r = 9 \% = \frac{9}{100} = 0.09](https://tex.z-dn.net/?f=r%20%3D%209%20%5C%25%20%3D%20%5Cfrac%7B9%7D%7B100%7D%20%3D%200.09)
t = 3 years
<em><u>Substituting the values we get,</u></em>
![A = 9500e^{0.09 \times 3}\\\\A = 9500 \times e^{0.27}\\\\A = 9500 \times 1.309964\\\\A = 12444.66](https://tex.z-dn.net/?f=A%20%3D%209500e%5E%7B0.09%20%5Ctimes%203%7D%5C%5C%5C%5CA%20%3D%209500%20%5Ctimes%20e%5E%7B0.27%7D%5C%5C%5C%5CA%20%3D%209500%20%5Ctimes%201.309964%5C%5C%5C%5CA%20%3D%2012444.66)
Thus amount in account after 3 years is $ 12444.66
Answer:
The first one is x.
Second one is z
Third one is y.
Step-by-step explanation: