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cupoosta [38]
3 years ago
7

To charter a fishing boat for 3 hours the captain charges a base fee of 45.00 plus 15.00 per person using variables construct a

function that models the total cost of a 3-hour charter in terms of the number of people in your function. Define any variables you use. What is the correct interpretation of the initial value snd the rate of change
Mathematics
1 answer:
steposvetlana [31]3 years ago
4 0

Answer:

$90.00

Step-by-step explanation:

Given

c = 45.00--- base fee

m = 15.00 --- rate

x = 3 --- individuals

Required

Determine the total amount paid (y)

The relationship between the variables is:

Total = Base\ Fee + Rate * Individuals

y = c + mx

This gives:

y = 45.00 + 15.00 * 3

y = 45.00 + 45.00

y = 90.00

<em>Hence, the amount is $90.00</em>

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5^11 times 5^3 = 5^?
postnew [5]

Answer:

5^{13}

Step-by-step explanation:

5^{11}\times \:5^2

<u>Apply exponent rule : </u>a^b\times \:a^c=a^{b+c}

  • 5^{11}\times \:5^2=5^{11+2}
  • 5^{11+2}

<u>Add 11 +2 = 13</u>

  • <u />=5^{13}

<u>-----------------------</u>

<u>OAmalOHopeO</u>

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7 0
2 years ago
Use the identity (x+y)(x2−xy+y2)=x3+y3 to find the sum of two numbers if the product of the numbers is 28, the sum of the square
fgiga [73]

Answer:

Step-by-step explanation:

1) f(x) = x+y , xy = 49 --> f(x) = x+49/x

f '(x) = 1-49/x2 , x = ±√49 , choose x = +7

y = 49/x = 7

smaller = 7

larger = 7

2) Vertical Distance is difference between the two functions

V(x) = x+56 - x2, V '(x) = 1 -2x --> x = 1/2 --> V(1/2) = 56.25 <---Max Vertical distance

Boundary at -7 and 8 are less

3) I googled the equation, it is really y(n) = kn/(49+n2)

y '(n) = (k(49+n2) - 2kn2)/(49+n2) , Setting to zero, k(49+n2) -2kn2 = 0 , n = 7

4) Let x and y be the sides of the rectangle. A = xy = 37.5 Million or y = 37.5/x

The length of the fences is f(x) = 2x + 3y = 2x+112.5/x

f '(x) = 2-112.5/x2 --> x = √56.5 = 7.5 and y = 37.5/7.5 = 5 then scale by √Million

smaller = 5000 ft and larger = 7500 ft

this took me ages to work out so hopefully it helped

4 0
2 years ago
Read 2 more answers
Sold 685 boxes of cookies about how many boxes are they sold rounded to the nearest ten
MissTica

Answer:

690

Step-by-step explanation:

Round from the tens place.

8 0
3 years ago
I need help ASAP. Will give Brainliest.
Volgvan

Answer:

4,5

Step-by-step explanation:

Your welcome! :)

Good Luck!

8 0
3 years ago
Read 2 more answers
What is the slope of (1,2) (-3,-9)
kati45 [8]

Answer:

(11/4) is the slope

Step-by-step explanation:

1) Subtract the second y value (-9) by the first y value (2) in the coordinates. This equals 11.

2) Then, subtract the second x value (-3) by the first x value (1) in the coordinates. This equals 4.

3) Divide the answer you get for step one by the answer for step 2 and that's your slope. 11/4

8 0
3 years ago
Read 2 more answers
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