Answer:
The answers are in solutions.
Step-by-step explanation:
- Four businessmen invested a sum of Rs. 250,000 in the ratio of 3:5:7:10 to start a new business.
(i) The amount invested by each businessman is;
<u>1^st businessman invested:</u>
<u />
Rs. 30,000
<u>2^nd businessman invested:</u>
<u />
<u /> = Rs. 50,000
<u>3^rd businessman invested:</u>
<u />
<u /> = Rs. 70,000
<u>4^th businessman invested:</u>
<u />
= Rs. 100,000
- If they gained Rs. 50,000
(ii) The profit each one of them got is;
<u>1^st businessman got:</u>
<u />
<u /> = Rs. 6,000
<u>2^nd businessman got:</u>
<u />
<u /> = Rs. 10,000
<u>3^rd businessman got:</u>
<u />
<u /> = Rs. 14,000
<u>4^th businessman got:</u>
= Rs. 20,000
Using the Fundamental Counting Theorem, it is found that there are 576 ways for the dancers to line up.
<h3>What is the Fundamental Counting Theorem?</h3>
It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem, considering the order:
Black - Red - Black - Red - Black - Red - Black - Red
The number of ways for each is given by:
4 - 4 - 3 - 3 - 2 - 2 - 1 - 2
Hence:
There are 576 ways for the dancers to line up.
To learn more about the Fundamental Counting Theorem, you can check brainly.com/question/24314866
Answer:
75 seconds
Step-by-step explanation:
Here, we want to get her time 6 weeks ago.
We shall have an exponential model to link this all up
The exponential model would look like;
y = I(1 - r)^n
where y is the present time
I is the initial time she started with which we are calculating
r is the rate of change which is 2% = 2/100 = 0.02
n is the week number which is 6 in this case
So we have;
66 = I(1 - 0.02)^6
66 = I(0.98)^6
I = 66/0.8858
I = 74.5 seconds
This is approximately 75 seconds
Her time 6 weeks ago is 75 seconds
Answer:
H
Step-by-step explanation:
Since they spend 800 plus 10 dollar per cake, they want to make more than that, and each cake sells for 15 dollars, which means the total amount of money made from cakes has to add up to MORE than what they spend to maintain the business.