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SashulF [63]
3 years ago
10

Nicole spends $14 each time she travels all the roads. She started the month with $224 in her toll road account. The amount, A (

in dollars), that she has left in the account after t trips on the toll roads is given by the following function.
A(t)=224-14t

Answer the following questions:

How much money does Nicole have left in the account after 11 trips on the toll roads?

How many trips on the toll roads can she take until her account is empty?
Mathematics
1 answer:
Tasya [4]3 years ago
5 0

Answer:

11 trips on the toll road can be represented by replacing the variable t with 11:

A(11) = 224 - 14(11)

A(11) = 224 - 154

A(11) = 70 dollars.

You can solve for Nicole's account being empty by setting y equal to 0 (how much money she has left):

0 = 224 - 14t

14t = 224

t = 224/14

t = 16 trips on the toll road before Nicole runs out of money.

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Answer:

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Step-by-step explanation:

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Hope this helps!

4 0
3 years ago
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levacccp [35]

Answer:

The hikers are 5.9 miles apart.

Step-by-step explanation:

Let O represents the base camp,

Suppose after walking 3.5 miles west, first hiker's position is A, then after going 1.5 miles north from A his final position is B,

Similarly, after walking 2 miles east, second hiker's position is C then going towards 0.5 miles south his final position is D.

By making the diagram of this situation,

Let D' is the point in the line AB,

Such that, AD' = CD

In triangle BD'D,

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By Pythagoras theorem,

BD^2 = BD'^2 + DD'^2

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2 years ago
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nordsb [41]

Answer:

A. The graph is a line that goes through the points (9,0) and (0,6).

Step-by-step explanation:

Given

4x + 6y = 36

Required

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This implies that"

(x_1,y_1)= (9,0)

(x_2,y_2)= (0,6)

So, we have: (x_1,y_1)= (9,0)

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So, we have: (x_2,y_2)= (0,6)

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The histogram for the data is given at the end of this answer.

<h3>What is an histogram?</h3>

An histogram is a graph that shows the number of times each element of x was observed.

In this problem:

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Hence, the graph given at the end of this answer is the histogram.

You can learn more about histogram at brainly.com/question/2962546

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