Answer:
Step-by-step explanation:
The formula for continuous compounding is
where A(t) is the amount after all the compounding is done, P is the initial investment, r is the rate as a decimal, and t is the time in years. Filling in our info:
![A(t)=500e^{(.1)(5)}](https://tex.z-dn.net/?f=A%28t%29%3D500e%5E%7B%28.1%29%285%29%7D)
First raise e to the product of that power to get
![A(t)=500(1.64872171)](https://tex.z-dn.net/?f=A%28t%29%3D500%281.64872171%29)
Multiply those numbers together to get A(t) = $824.36
Answer:
- 21 hours in May, 63 hours in June
Step-by-step explanation:
<h3>Set up equations</h3>
<h3>Solve by substitution, fin the value of j</h3>
- 1/3j + j = 84
- 4/3j = 84
- j = 84*3/4
- j = 63
<h3>Find m</h3>
- m + 63 = 84
- m = 84 - 63
- m = 21
David went about 7.94 miles east for they to be 13 miles apart.
Distance
The distance between two points is the amount of separation between the points.
Let O represent the starting point, D for David endpoint and J for John end point.
Using Pythagoras:
OJ² = 4² + 3²
OJ = 5 miles
OD + OJ = 13
OD = 8 miles
Using Pythagoras:
8² = 1² + East²
East = 7.94 miles
David went about 7.94 miles east for they to be 13 miles apart.
Find out more on distance at: brainly.com/question/24775607