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Aneli [31]
3 years ago
8

a club is holding a raffle. Ten thousand tickets have been sold for $2 each. There will be a 1st prize of $3000, 3 second prizes

of $1000 each, 5 third prizes of $500 each, and 20 consolation prizes of $100 each. Find the expected winnings of a single ticket
Mathematics
1 answer:
seropon [69]3 years ago
4 0

Answer:

1000(1/20000) +

300(2/20000) +

10(20/20000) +

=

1800/20000 = .09

Step-by-step explanation:

Each ticket purchased is expected to win 9 cents

Each ticket purchased cost 75 cents

If you interpret expected winnings per ticket to include the cost then each ticket is expected to lose 66 cents.

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A certain sum quadruples in 3 years at compound interest, interest being compounded annually. In how many years will it become 6
Alex777 [14]

<u>ANSWER:  </u>

In 9 years, amount becomes 64 times of itself.

<u>SOLUTION: </u>

Given, a certain sum quadruples in 3 years at compound interest, interest being compounded annually.  

We know that, When interest is compound annually:

\text { Amount }=P\left(1+\frac{R}{100}\right)^{n}

Given that,

Principal = Rs.100%

Amount = Rs.400

Rate = r%

Time = 3 years

By substituting the values in above formula, we get,

400=100 \times\left[1+\left(\frac{R}{100}\right)\right]^{3}

4=1\left[1+\left(\frac{R}{100}\right)\right]}^{3} --- eqn 1

If sum become 64 times in the time n years then,

64=\left(1+\left(\frac{R}{100}\right)\right)^n

4^{3}=\left(1+\left(\frac{R}{100}\right)\right)^{n} --- eqn 2

Using equation (1) in (2), we get

\begin{array}{c}{\left(\left[1+\left(\frac{R}{100}\right)\right]^{3}=\left(1+\left(\frac{R}{100}\right)\right)^{2}\right.} \\ {\left[1+\left(\frac{R}{100}\right)\right]^{9}=\left(1+\left(\frac{R}{100}\right)\right)^{n}}\end{array}

Thus, n = 9 years by comparing on both sides.

Hence, in 9 years, amount becomes 64 times of itself.

5 0
3 years ago
Determine and state one combination of hours that will allow Edith to earn at least $80 per week while working no more than 15 h
sveta [45]

Answer:

11$ per 2 hours

Step-by-step explanation:

7 0
3 years ago
As the temperature increases what happens to ice cream sales ?
GalinKa [24]

Answer:

As the temperature rises the sales increase

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the value of 216m³ - 8n³ if 6m - 2n=0 and mn=12​
mestny [16]

Answer:

0

Step-by-step explanation:

Given that,

6m - 2n=0

=>6m=2n

=>n=3m   [divide both side by 2]

& mn=12​

Now,

216c - 8n³

= 216m³- 8(3m)³

=216m³-  8 .27m³

=216m³- 216m³

=0

6 0
2 years ago
A dog weighs two pounds less than three times the weight of a cat. The dog also weights twenty-two more pounds than the cat. Wri
Solnce55 [7]

Answer:

the cat weighs 21 pounds.

the dog weighs 43 pounds

Step-by-step explanation:

dog = 3x-20 = x + 22

cat = x

3x-20 = x+22

3x = x+42 (add 20 to both sides)

2x = 42 (subtract x from both sides)

x = 21

4 0
3 years ago
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