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Aliun [14]
3 years ago
8

At a carnival, a toy boat race costs $4 to enter. Second place earns a prize worth $8, and third place earns a prize worth $5. I

f the probability of winning any of the prizes is \frac{1}{12}, what should the first place prize be worth for the game to be fair?
(a) $35


(b) $23


(c) $31


(d) $41
Mathematics
1 answer:
STatiana [176]3 years ago
8 0
31 bro because if you think about it 8 times 4 is 26 + 5 more equals 31 c
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Stolb23 [73]

p\%=\dfrac{p}{100}\\\\33.5\%=\dfrac{33.5}{100}=\dfrac{33.5\cdot10}{100\cdot10}=\dfrac{335}{1000}\\\\\dfrac{335}{1000}=0.335\\\\\dfrac{335}{1000}=\dfrac{335:5}{1000:5}=\dfrac{67}{200}

Answer:\\\\\boxed{33.5\%=0.335}\\\boxed{33.5\%=\dfrac{67}{200}}

5 0
3 years ago
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I need help urgent plz someone help me solved this problem! Can someone plz help I’m giving you 10 points! I need help plz help
VMariaS [17]

Answer: a) 8.779 years

               b) 8.664 years

<u>Step-by-step explanation:</u>

a)

A=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}

  • A: accumulated amount (balance)
  • P: principal amount (original/initial investment)
  • r: interest rate (convert to a decimal)
  • n: number of times compounded per year
  • t: number of years

Given: A = 1800, P = 900, r = 8% = 0.08, n = 3, t = unknown

1800=900\bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\2=\bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\ln\ 2=ln \bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\ln\ 2=3t\ ln\bigg(1+\dfrac{0.08}{3}\bigg)\\\\\\\dfrac{ln\ 2}{3\ ln\bigg(1+\dfrac{0.08}{3}\bigg)}=t\\\\\\\large\boxed{8.779=t}

b)  

A=Pe^{rt}

1800=900e^{0.08t}\\\\\\2=e^{0.08t}\\\\\\ln\ 2=0.08t\\\\\\\dfrac{ln\ 2}{0.08}=t\\\\\\\large\boxed{8.664=t}

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Answer:

Step-by-step explanation:

I'm not familiar with the conversions from American dollars. I can help you solve it though.

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It's 30 days by 9p. Take that total and convert it.

Hopefully this helps you.

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Answer:

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Step-by-step explanation:

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Answer:

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