Answer:
$3,644.24
Step-by-step explanation:
You are going to want to use the continuous compound interest formula, which is shown below.
![A = Pe^{rt}](https://tex.z-dn.net/?f=A%20%3D%20Pe%5E%7Brt%7D)
<em>P = principal amount</em>
<em>r = interest rate (decimal)</em>
<em>t = time (years)</em>
<em />
First change 4% to its decimal form:
4% ->
-> 0.04
Next, plug in the values into the equation:
![A=2,000e^{0.04(15)}](https://tex.z-dn.net/?f=A%3D2%2C000e%5E%7B0.04%2815%29%7D)
![A=3,644.24](https://tex.z-dn.net/?f=A%3D3%2C644.24)
After 15 years, you will have $3,644.24
Answer:
20 miles per hour
Step-by-step explanation:
Given that the train left for London, and after 9 hours later, a car traveling 80 miles per hour tried catching up to the train. After 3 hours, the car caught up
Which means that the car travelled the same distance in 3 hours as the train travelled in 9 + 3 = 12 hours
Let the distance be d
Given the speed of car is 80 miles per hour
We know that ![speed=\frac{distance }{time}](https://tex.z-dn.net/?f=speed%3D%5Cfrac%7Bdistance%20%7D%7Btime%7D)
![80=\frac{d}{3}](https://tex.z-dn.net/?f=80%3D%5Cfrac%7Bd%7D%7B3%7D)
d = 240 miles
Now for the train Average speed = total distance / total time taken
Average speed of the train =
= 20 miles per hour
Answer:
![\boxed{\sf Associative \:property\: of \:addition}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csf%20Associative%20%5C%3Aproperty%5C%3A%20of%20%5C%3Aaddition%7D)
![\boxed{\sf Distributive \:property}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csf%20Distributive%20%5C%3Aproperty%7D)
![\boxed{\sf Associative\: property \:of \: multiplication}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csf%20Associative%5C%3A%20property%20%5C%3Aof%20%5C%3A%20multiplication%7D)
![\boxed{\sf Commutative \:property\: of \:multiplication}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csf%20Commutative%20%5C%3Aproperty%5C%3A%20of%20%5C%3Amultiplication%7D)
![\boxed{\sf Commutative \:property \:of \: addition}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csf%20Commutative%20%5C%3Aproperty%20%5C%3Aof%20%5C%3A%20addition%7D)
________________________________
Associative property of addition: Changing grouping of addends doesn't change the sum.
Distributive property: Multiplying a sum by a number is the same as multiplying each addend by that number and then adding the two products.
Associative property of multiplication: Changing grouping of the factors doesn't change the products.
Commutative property of multiplication: Changing order of the factors doesn't change the products.
Commutative property of addition: Changing order of addends doesn't change the sum.
Answer:
6
Step-by-step explanation:
If minus stands before parenthesis the sign in the parenthesis changes to the opposite