Answer:
He bought
5 bags of Almonds
3 bags of Peanuts
Step-by-step explanation:
5 * $5 =$25 (Almonds)
3 * $2=$6 (Peanuts)
$25 + 6 =$31
Answer:
f(x) is compressed horizontally
Step-by-step explanation:
Given
![f(x) = \log(4x)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Clog%284x%29)
![g(x) = f(13x)](https://tex.z-dn.net/?f=g%28x%29%20%3D%20f%2813x%29)
Required
The effect on f(x)
implies that f(x) is horizontally compressed by 13.
So, we have:
![f(13) = \log(4 * 13x)](https://tex.z-dn.net/?f=f%2813%29%20%3D%20%5Clog%284%20%2A%2013x%29)
![f(13) = \log(52x)](https://tex.z-dn.net/?f=f%2813%29%20%3D%20%5Clog%2852x%29)
So:
![g(13) = \log(52x)](https://tex.z-dn.net/?f=g%2813%29%20%3D%20%5Clog%2852x%29)
Answer:
b
Step-by-step explanation:
lucky guess
Answer:
Amount of retained earnings at the end of Year 1 was $8,550
Step-by-step explanation:
In Year 1
net income= $21,100
dividends = $12,550
In Year 2
Net income = $35,100
Paid dividends = $5,550
At the end of Year 1, the company had total assets of $161,000
At the end of Year 2, the company had total assets of $ $251,000
Retained Earning at the end of Year 1 = Opening balance + Net Income - Dividend paid
Retained Earning at the end of Year 1 = 0 + 21,100 - 12,550 = 8550
Answer: 42
Step-by-step explanation:
Let A represents the number of freshmen participated in sports and B represents the number of freshmen participated in clubs.
Then , we have given that
![n(A)=55\\\\n(B)=68\\\\n(A\cup B)=110](https://tex.z-dn.net/?f=n%28A%29%3D55%5C%5C%5C%5Cn%28B%29%3D68%5C%5C%5C%5Cn%28A%5Ccup%20B%29%3D110)
Using formula
![n(A\cup B)=n(A)+n(B)-n(A\cap B)](https://tex.z-dn.net/?f=n%28A%5Ccup%20B%29%3Dn%28A%29%2Bn%28B%29-n%28A%5Ccap%20B%29)
We have,
![110=55+68-n(A\cap B)\\\\\Rightarrow\ n(A\cap B)=123-110=13](https://tex.z-dn.net/?f=110%3D55%2B68-n%28A%5Ccap%20B%29%5C%5C%5C%5C%5CRightarrow%5C%20n%28A%5Ccap%20B%29%3D123-110%3D13)
Now, the number of students are involved in just sports is given by :-
![n(A)-n(A\cap B)=55-13=42](https://tex.z-dn.net/?f=n%28A%29-n%28A%5Ccap%20B%29%3D55-13%3D42)
Hence, 42 students are involved in just sports.