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amid [387]
3 years ago
8

Chanel is renting a digital video recorder from a cable supplier for a start up fee of $45 plus $5 per month. She has a budget o

f $250. What is the maximum number of months she can rent the digital video recorder?
Mathematics
1 answer:
Norma-Jean [14]3 years ago
5 0
Fixed Cost = $45
Monthly Cost = $5

----------------------------------------
Define x:
----------------------------------------
Let x be the number of months she can rent.

----------------------------------------
Construct Inequality:
----------------------------------------
45 + 5x ≤ 250

----------------------------------------
Solve x :
----------------------------------------
45 + 5x ≤ 250
5x ≤ 250 - 45
5x ≤ 205
x≤ 41

--------------------------------------------------------------------------------
Answer: She can rent for a maximum of 41 months.
--------------------------------------------------------------------------------
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Answer:

<em>The translation corresponds to a translation of 13 units to the right</em>

Step-by-step explanation:

<u>Translation of a Graph</u>

If the graph of

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y =f(x - a)

The value of a is considered positive for translations to the right.

The parent function is

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3 years ago
A line passes through the point (-10,8) and has a slope of 1/2.
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The value of good wine increases with age. Thus, if you are a wine dealer, you have the problem of deciding whether to sell your
Katyanochek1 [597]

Answer: 64 years

Step-by-step explanation:

Let assume the dealer sold the bottle now for $P, then invested that money at 5% interest. The return would be:

R1 = P(1.05)^t,

This means that after t years, the dealer would have the total amount of:

$P×1.05^t.

If the dealer prefer to wait for t years from now to sell the bottle of wine, then he will get the return of:

R2 = $P(1 + 20).

The value of t which will make both returns equal, will be;

R1 = R2.

P×1.05^t = P(1+20)

P will cancel out

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Log both sides

Log1.05^t = Log21

tLog1.05 = Log21

t = Log21/Log1.05

t = 64 years

The best time to sell the wine is therefore 64years from now.

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3 years ago
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dimulka [17.4K]

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3 years ago
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