When looking at a rectangular prism, we know that Volume = length * width * height
If we are given that the volume of the prism is 280 cubic meters (m^3), the length is 8 meters, and the width is 7 meters, we can fill in our equation.
280 = 8 * 7 * height
280 = 56 * height
Because we are solving for the height, we divide both sides by 56
280/56 = height
height = 5 meters
Answer:
The amount in account after 7 years of investment is $1478.4
Step-by-step explanation:
Given as :
The principal invested in account by Jamie = p = $1200
The rate of interest = r = 3% compounded annually
The Time period of investment = t= 7 years
Let The Amount in Jamie account = $ A
<u>For continuous compounding</u>
Amount = Principal × 
Or, A = p × 
Or, A = $1200 × 
Or, A = $1200 × 
Or, A = $1200 × 1.232
∴ A = $1478.4
So, The amount after continuous compounding = A = $1478.4
Hence , The amount in account after 7 years of investment is $1478.4 Answer
Answer: 40.
Step-by-step explanation:
Given : The sweater department ran a sale last week and sold 95% of the sweaters that were on sale.
95% can be written as 0.95 [ by dividing 100 ]
Also, the number of sweaters sold = 38
Let x be the number of sweaters were on sale.
Then , we have the following equation :_

Hence, 40 sweaters were on sale.
The equation is undefined where the denominator equals 0, the argument of an even indexed radical is less than 0, or the argument of a logarithm is less than or equal to 0.
Defined on all real numbers
Answer:
the probability that the user is fraudulent is 0.00299133
Step-by-step explanation:
Let be the events be:
G: The user generates calls from two or more areas.
NG: The user does NOT generate calls from two or more areas.
L: The user is legitimate.
F: The user is fraudulent.
The probabilities established in the statement are:

With these values, the probability that a user is fraudulent, if it has originated calls from two or more areas is:

