Answer:
The combination is 15
Step-by-step explanation:
There are 6 people in a raffle drawing. two raffle winners each wing gift cards . each gift card is the same.
Lets call the winners Winner 1, Winner 2. According to the given statement each gift card is same, thus any permutation of these two winners are equivalent.This tells us that the order of winners does not matter and the situation involves a combination.
Now we have to calculate the combination of 2 winners from 6 people.
nCm = m!/n!(m-n)!
where m = 6
n = 2
2C6 = 6!/2!(6-2)!
2C6 = 6!/2!(4)!
2C6 = 6*5*4*3*2*1/2*1*4*3*2*1
2C6= 6*5/2*1
2C6=30/2
2C6 = 15
Thus the combination is 15....
Answer:
10
Step-by-step explanation:
Rationalize the denominator by multiplying both the top and bottom by sqrt(5). you have sqrt(500) * sqrt(5) / sqrt(5)^2
simplifying we have 50/5 = 10
Answer:
294
Step-by-step explanation:
The area of one face of the cube would be 7 x 7 = 49
Since there are 6 faces on a cube, the total surface area would therefore be 49 x 6 = 
Answer:
The last investment (C) has the least interest of $600
The other two investments (A and B) have the <u>same</u> amount of interest of $1800.
Step-by-step explanation:
<u>Simple Interest Formula</u>
I = Prt
where:
- I = interest earned
- P = principal
- r = interest rate (in decimal form)
- t = time (in years)
<u>Investment A</u>
- P = $2000
- r = 10% = 0.1
- t = 9 years
Substitute the given values into the formula and solve for I:
⇒ I = 2000(0.1)(9)
⇒ I = $1800
<u>Investment B</u>
- P = $3000
- r = 3% = 0.03
- t = 20 years
Substitute the given values into the formula and solve for I:
⇒ I = 3000(0.03)(20)
⇒ I = $1800
<u>Investment C</u>
- P = $2000
- r = 10% = 0.1
- t = 3 years
Substitute the given values into the formula and solve for I:
⇒ I = 2000(0.1)(3)
⇒ I = $600
The last investment (C) has the least interest of $600.
The other two investments (A and B) have the <u>same</u> amount of interest of $1800.
Answer:
6/13
Step-by-step explanation:
