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vovangra [49]
2 years ago
9

Ms. Ashley planned to stay at a hotel that charges $88 per night for a room and $20 per night in fees and taxes. She used this e

xpression to calculate the total cost of staying in the hotel for n nights. 88n 20n
Mathematics
1 answer:
Fudgin [204]2 years ago
3 0

Step-by-step explanation:

Since 88 is for one night and 20 per night in fees and taxes.

Step 1 : Calculate for $88

\frac{88n}{88}  \\make N the subject of formula

n =  \frac{88}{88}  \\

N= 1

Step 2: Calculate for $20

\frac{20n}{20}  \\

make N the subject of formula

n =  \frac{20}{20}

N = 1

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Vesnalui [34]

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5 0
2 years ago
A sequence is defined by f(0) = -20, f(n) = f(n-1) - 5 forn > 1.
bulgar [2K]

Answer:

1. Proved down

2. proved down

3. f(10) = -20 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5

Step-by-step explanation:

Let us explain how to solve the question

∵ f(0) = -20, f(n) = f(n - 1) - 5 for n > 1

→ That means we have an arithmetic sequence with constant

   difference -5 and first term -20

1. → f(1) means we need to find the second term, which equal the

      term - 5

∵ f(1) means n = 1

∴ f(1) = f(1 - 1) - 5

∴ f(1) = f(0) - 5

∵ f(0) = -20

∴ f(1) = -20 - 5 → Proved

2. → f(3) means we need to find the third term, which equal the

   second term - 5

∵ f(3) means n = 3

∴ f(3) = f(3 - 1) - 5

∴ f(3) = f(2) - 5

→ f(2) = f(1) - 5

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∴ f(2) = [-20 - 5] - 5 = -20 - 5 - 5

∴ f(3) = [-20 - 5 - 5] - 5

∴ f(3) = -20 - 5 - 5 - 5 → Proved

3. → From 1 and 2 we notice that the number of -5 is equal to n,

      at n = 1 there is one (-5), when n= 3 there are three (-5)

∵ n = 10

∴ There are ten (-5)

∴ f(10) = -20 - 5(10)

∴ f(10) = -20 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 → Proved

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