Answer:
225600
Step-by-step explanation:
Simple interest formula:
A = P(1 + rt)
A = final amount
P = initial principal balance
r = annual interest rate
t = time (in years)
So...
A = 600(1 +(75 x 5) )
75 x 5 = 375
1 + 375 = 376
600 x 376 = 225600
A = 225600
Answer:
8428
Step-by-step explanation:
According to the Question,
- Given, A theater has 56 rows of seats. If there are 13 seats in the first row, 18 in the 2nd row, 23 in the 3rd row.
We have a number sequence 13, 18, 23, ...
- We can say that this is an arithmetic sequence because of the common difference 'd', is equal to 5, and the first term 'a1' is equal to 13.
- The formula for the sum of an arithmetic sequence with n terms is given is
.
Substitute the given values into the equation to solve for the sum of the 56 rows of seats.
![S_56= \frac{56}{2}[2(13)+(56-1)(5)]\\S_{56}=28\left[26+275\right]\\S_{56}=28\left[301\right]\\S_{56}=8428](https://tex.z-dn.net/?f=S_56%3D%20%5Cfrac%7B56%7D%7B2%7D%5B2%2813%29%2B%2856-1%29%285%29%5D%5C%5CS_%7B56%7D%3D28%5Cleft%5B26%2B275%5Cright%5D%5C%5CS_%7B56%7D%3D28%5Cleft%5B301%5Cright%5D%5C%5CS_%7B56%7D%3D8428)
Therefore, there are 8428 seats in all.
No, Rays go one way only since a point block te other way. Otherwise it wont be a ray :)
Answer:
- 3x² is a term in the numerator
- x + 1 is a common factor
- The denominator has 3 terms
Step-by-step explanation:
You can identify terms and count them before you start factoring. Doing so will identify 3x² as a term in the numerator, and will show you there are 3 terms in the denominator.
When you factor the expression, you get ...

This reveals a common factor of x+1.
So, the above three observations are true of this rational expression.
Answer: .C. The population is the 10,900 respondents to the American Time Use Survey.
Step-by-step explanation:
In statistics , Population is refer to a large group of individuals or observations that have same characteristics.
A sample is a subset drawn from it.
We are given that "The 2015 American Time Use survey contains data on how many minutes of sleep per night each of 10,900 survey participants estimated they get. An SRS (simple random sample) of 100 of the participants has a mean time of x¯=514.4 minutes. "
i.e. The population is 10,900 respondents to the American Time Use Survey.