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LenaWriter [7]
3 years ago
5

A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to spli

t the bill and tip evenly among themselves.
Which equations and solutions describe the situation? Select two options.
Mathematics
2 answers:
nekit [7.7K]3 years ago
7 0

Answer:

A and C

Step-by-step explanation:

1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

2) The solution x=60 represents the total food bill.

Kisachek [45]3 years ago
6 0

Answer:

$11.50 is being split among the 8 friends

Step-by-step explanation:

76 + 16 = 92

92/8 = 11.5

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Which of the following is equivalent to X2 - 8x - 7 = 0?
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Answer:

Part 1)   (the missing steps in the explanation)

Part 3) (8, 4); The vertex represents the maximum profit

Part 4) x = 3.58, 0.42

Part 5) x = 6, x = 44; The zeros represent the number of monthly memberships where no profit is made

Part 6) 2(x − 7)2 + 118; x = $7

Part 7) The maximum height of the puck is 4 feet. −(x − 4)^2 + 6

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Step-by-step explanation:

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4 years ago
You invest $5,000 into an account where interest compounds continuously at 3.5%. How long will it take your money to double? Rou
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Answer:

20 years

Step-by-step explanation:

<u>Continuous Compounding Formula</u>

\large \text{$ \sf A=Pe^{rt} $}

where:

  • A = Final amount
  • P = Principal amount
  • e = Euler's number (constant)
  • r = annual interest rate (in decimal form)
  • t = time (in years)

Given:

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  • P = $5,000
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\sf \implies 10000=5000e^{0.035t}

\sf \implies \dfrac{10000}{5000}=e^{0.035t}

\sf \implies 2=e^{0.035t}

\sf \implies \ln 2=\ln e^{0.035t}

\sf \implies \ln 2=0.035t\ln e

\sf \implies \ln 2=0.035t(1)

\sf \implies \ln 2=0.035t

\sf \implies t=\dfrac{\ln 2}{0.035}

\implies \sf t=19.80420516...

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C

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it represents both a relation and a function

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