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Over [174]
3 years ago
9

State whether the decay is linear or​ exponential, and answer the associated question. The value of a car is decreasing by 9​% p

er year. If the car is worth ​$11 comma 000 ​today, what will it be worth in two​ years? g
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
7 0

Answer:

  • Exponential
  • A(2)=$9109.10

Step-by-step explanation:

Since the value of the car decreases by a common factor each year, the decay is exponential.

An exponential decay function is of the form

A(t)=A_0(1-r)^t$ where:\\Initial Value, A_0=\$11,000\\$Decay Factor, r=9%=0.09

Therefore, the function modeling the car's decay is:

A(t)=11000(1-0.09)^t

We want to determine the car's value in two years.

When t=2

A(2)=11000(1-0.09)^2\\A(2)=\$9109.10

The value of the car in 2 years will be A(t)=$9109.10

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Which ordered pair is a solution to the system of inequalities ? (1, –5) (3, 0) (–1, –2) (1, 5)
Musya8 [376]

Point (3,0) is system solution.

<h3>What is inequality?</h3>

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

We have

y> -2

x + y <4

  • For (1,-5):

First inequation:

-5> -2 (incorrect)

Second inequality:

1-5 <4 (correct)

  • For (3,0):

First inequation:

0> -2 (correct)

Second inequality:

0+3 <4 (correct)

  • For (-1,-2):

First inequation:

-2> -2 (incorrect)

Second inequality:

-1-2 <4 (correct)

  • For (1,5):

First inequation:

5> -2 (correct)

Second inequality:

1+5 <4 (incorrect)

Hence, Point (3,0) is system solution.

Learn more about inequality here:

brainly.com/question/20383699

#SPJ1

7 0
2 years ago
(5+3√2)² simplify the following<br>​
madam [21]

Answer:

(5+3\sqrt{2} )^{2} =43+30\sqrt{2}  

≈85.43

Step-by-step explanation:

apply the binomial theorem to the square

=(5)^{2} +2(5)(3\sqrt{2} )+(3\sqrt{2} )^{2}

=25+30\sqrt{2} +18\\

=43+30\sqrt{2}

≈85.43

Hope this helps

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2 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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