The value of this is -1 so the answer is B.
HOPE THIS HELPS!
HAVE A GR8 DAY;-)
Answer:
$7499.82
Step-by-step explanation:
We have been given that a person places $6340 in an investment account earning an annual rate of 8.4%, compounded continuously. We are asked to find amount of money in the account after 2 years.
We will use continuous compounding formula to solve our given problem as:
, where
A = Final amount after t years,
P = Principal initially invested,
e = base of a natural logarithm,
r = Rate of interest in decimal form.
![8.4\%=\frac{8.4}{100}=\frac{8.4}{100}=0.084](https://tex.z-dn.net/?f=8.4%5C%25%3D%5Cfrac%7B8.4%7D%7B100%7D%3D%5Cfrac%7B8.4%7D%7B100%7D%3D0.084)
Upon substituting our given values in above formula, we will get:
![A=\$6340\cdot e^{0.084\cdot 2}](https://tex.z-dn.net/?f=A%3D%5C%246340%5Ccdot%20e%5E%7B0.084%5Ccdot%202%7D)
![A=\$6340\cdot e^{0.168}](https://tex.z-dn.net/?f=A%3D%5C%246340%5Ccdot%20e%5E%7B0.168%7D)
![A=\$6340\cdot 1.1829366106478107](https://tex.z-dn.net/?f=A%3D%5C%246340%5Ccdot%201.1829366106478107)
![A=\$7499.818111507119838](https://tex.z-dn.net/?f=A%3D%5C%247499.818111507119838)
Upon rounding to nearest cent, we will get:
![A\approx \$7499.82](https://tex.z-dn.net/?f=A%5Capprox%20%5C%247499.82)
Therefore, an amount of $7499.82 will be in account after 2 years.
This is the concept of probability, we are required to calculate for the probability of rolling a 4 with a single die four times in a row;
To solve this we proceed as follows;
The probability space of a die is x={1,2,3,4,5,6}
The probability of a die falling on any of this number is:
P(x)=1/6
Thus the probability of rolling a 4 with a single die four times which makes up mutually exclusive events will be:
1/6*1/6*1/6*1/6
=(1/6)^4
=1/1296
The answer is B] 1/1296
I will be using the associative property. (20 x 9) x 5 = 900
You first multiply 20 x 9, which equals 180, then you multiply 180 x 5, which equals 900.