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Firlakuza [10]
3 years ago
12

The depreciating value of a semi-truck can be modeled by y = Ao(0.83)x, where y is the remaining value of the semi, x is the tim

e in years, and it depreciates at 17% per year.
An exponential function comes down from the positive infinity and passes through the points zero comma seventy thousand. The graph is approaching the x-axis. What is the value of the truck initially, Ao, and how would the graph change if the initial value was only $50,000?

$70,000, and the graph would have a y-intercept at 50,000
$60,000, and the graph would have a y-intercept at 70,000
$70,000, and the graph would fall at a slower rate to the right
$70,000, and the graph would fall at a faster rate to the right

Mathematics
2 answers:
xenn [34]3 years ago
6 0
The exponential graph is shown below.

The initial value when the time is zero is 70000. An initial value is normally shown as the point where the graph crosses the y-axis.

If the initial value was to be 50000, the curve would have crossed the y-axis at 50000

The correct answer is the first statement

Tems11 [23]3 years ago
3 0

Answer:

Option A is correct.

Step-by-step explanation:

We are given that, the model for the depreciating value of a semi-truck is,

y = A_{O}(0.83)^x

1. It is required to find the value of the truck initially i.e. when x= 0.

So, substituting x= 0, we have,

y = A_{O}(0.83)^0

i.e. y = A_{O}\times 1

i.e. y = A_{O}

<em>Since, the graph passes through the point (0,70,000).</em>

Thus, we get, A_{O}=70,000

Hence, the initial value is 70,000.

2. It is required to find the value of the truck initially i.e. when x= 50,000

That is, when x= 0, the value of y= 50,000.

Graphically, it means that the graph would cut y-axis at the point (0,50,000).

Thus, the y-intercept would be at 50,000.

Change in the initial value will not have any affect on the rate of the graph.

So, from the above, we get,

Option A is correct.

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A. $14.99 .. do $49.98/2 = $24.99 and then subtract $10.
B. $19.99 .. do $49.98-19 = $39.98 and then divide it by 2.
3 0
3 years ago
Can someone help me with this plz so i could get it over with thanks brainliest for first person and correct answer
insens350 [35]
The rate of change for function A is 2. It would originally be 2 over one but you can just simplify it down to 2. The rate of change for function B is 3. Which would also originally be 3 over 1.
6 0
3 years ago
I need the answers to this question
erastovalidia [21]

Answer: <u>Madison can travel 2.2 miles less than Anthony on one gallon of gas.</u>

Step-by-step explanation:

The equation y = 39.1x represents the number of miles, y, that madison can drive her car for every x gallons of gas.

Question: Madison can travel _ miles _ than Anthony on one gallon of gas.

Lets find how much Madison travels on 1 gallon of gas.

39.1(1) = 39.1

Therefore, Madison travels 39.1 miles on one gallon of gas.

Now lets solve for Anthony

Anthony travels 380.7 miles on 9 gallons of gas.

Therefore we can set up the equation:

9x = 380.7 to show that 9 gallons equates to 380.7 miles

to solve divide 9 from both sides

\frac{9x}{9} =\frac{380.7}{9}

x = 41.3

So, Anthony travels 41.3 miles on one gallon of gas

Now find whether Madison travels more or less than Anthony on one gallon.

39.1 - 41.3 = -2.2

This means that Anthony can travel 2.2 miles more than Madison.


For your answer, this means that:

<u>Madison can travel 2.2 miles less than Anthony on one gallon of gas</u>

<u></u>

<em>Hope this helped and have a nice day :)</em>

3 0
2 years ago
2 Richard and Jason each begin filling pools at the same time.
alina1380 [7]

The quantity of the liquid in Richard's tank after 20 minutes will be 120 gallons and in Jason's tank will be 240 gallons.

<h3>What are gallons?</h3>

A gallon is a British unit which is used for the measurement of liquids that is equal to eight pints. In Britain, it is equal to about 4.546 litres. In America, it is equal to about 3.785 litres.

It is given in the question that:-

Richard fills his pool at a rate of 6 gallons per minute.

Jason's pool already contains 200 gallons, and he fills it at a rate of 2 gallons per minute.

After 20 minutes the amount of liquid in the tank will be:-

For Richard = 6 gallons per minute. x  20  minutes= 120 gallons

For Jason= 2 gallons per minute  x  20  =40 gallons

Jason has 200 gallons already in the tank

So it will become = 200+24=240 gallons.

Hence  quantity of the liquid in Richard's tank after 20 minutes will be 120 gallons and in Jason's tank will be 240 gallons.

To know more about Gallons follow

brainly.com/question/16691874

#SPJ1

7 0
2 years ago
In 2001, the United States' oil consumption was 7,297.4 millions of barrels, while Japan's was 1,979.4 millions of barrels. How
AleksAgata [21]
The answer would be 5,318,000 more barrels were consumed by the U.S than Japan

5 0
3 years ago
Read 2 more answers
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