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Alexandra [31]
3 years ago
5

A. Explain why the point (100,2) is on the graph.

Mathematics
1 answer:
Crazy boy [7]3 years ago
4 0

Answer:

the log function is the "inverse" function of an exponential function

by definition  log_{a} b = c  then a^{c} = b

in this problem you have log_{10}  100

thus what x solves this ?  10^{x}  = 100  the answer is 10^{2}

thus (100,2)

B) the x intercept is when y = 0

   10^{0} = 1

   x intercept at (1,0)

C) at 100, the curve will hit y = 5000

Step-by-step explanation:

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The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $540 per person per day if exactly 20 people s
lora16 [44]

Answer:

Step-by-step explanation:

Charges up to 20 passengers = $540 per person per day

Total charges = 540 × 20 = $10800

If x passengers above 20 sign up for the cruise then total number of passengers = (20 + x)

Total revenue = $(20+x)

But each fare is reduced by $7 for additional passenger above 20 then revenue generated R(x) = 540(20+x) - 7x

R(x) = 10800 + 540x - 7x

R(x) = 10800 + 533x

a). Revenue per day realized R = 10800 + 533x

b). R(48) = 10800 + 48×533

              = $36,384

C). R(78) = 10800 + 78×543

              = $53,154

5 0
3 years ago
A boat costs $14,000 and decreases in value by 5% per year. How much will the boat be worth after 3 years?
kati45 [8]

Answer:

$12,003.25.

Step-by-step explanation:

The boat's values after each year is  $14,000 * (100-5)%, so

the equation is A = 14000(0.95)^3

= $12,003.25.

8 0
2 years ago
Given the function, , choose the correct transformation. Left 1, down 6 left 1, up 6 right 1, down 6 right 1, up 6
nadezda [96]

Answeleft1 down6

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
If h(x) is the inverse of f(x), what is the value of h(f(x))?
Viktor [21]
The value of h(f(x)) would just be x. That is the line y = x which is the line that functions are reflected in to find the inverse.
4 0
2 years ago
Read 2 more answers
TOITUTO
alexgriva [62]

Answer: 3x+4=5x

Step-by-step explanation:

Three times a number: 3x

Increased by 4 then means that you are adding 4 to that number after it is multiplied: 3x+4

Is equal to 5 times the number means that you have to set the equation equal to 5x: 3x+4=5x

4 0
3 years ago
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