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vladimir2022 [97]
2 years ago
6

The resale value of a textbook decreases by 25% with each previous owner. A new textbook is sold for $85. Which function represe

nts the resale value of the textbook after x owners? (x) = 85(1 – 0.25)x
f(x) = 85(1 + 0.25)x

f(x) = 85(0.25)x

f(x) = (85 – 0.25)x
Mathematics
2 answers:
Alisiya [41]2 years ago
9 0
A exponential function would represent it nicely f(x)=b*a^x
Reason being a decrease of %
a = 1+r
r = -25% = -0.25
And b being what the original cost of the book
f(x)=85*0.75^x
Where f(x) is the price after x amount of previous owners
denis-greek [22]2 years ago
7 0

Answer:

A exponential function would represent it nicely f(x)=b*a^x

Reason being a decrease of %

a = 1+r

r = -25% = -0.25

And b being what the original cost of the book

f(x)=85*0.75^x

Where f(x) is the price after x amount of previous owners

Step-by-step explanation:

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In math class, Sam correctly multiplied 3.625×10-8 by 500, then reported his product in scientific notation.
Minchanka [31]
<h3><u>Question:</u></h3>

In math class, Sam correctly multiplied 3.625×10-8 by 500, then reported his product in scientific notation. What was the exponent in Sam’s product? A -16 B -10 C -7 D -5

<h3><u>Answer:</u></h3>

OPTION D

The exponent in Sam’s product is -5

<h3><u>Solution:</u></h3>

Given that,

In math class, Sam correctly multiplied 3.625 \times 10^{-8} by 500, then reported his product in scientific notation.

<em><u>To find: exponent in Sam’s product</u></em>

Let us first multiply 500 with 3.625 \times 10^{-8}

3.625 \times 10^{-8} \times 500 = 1812.5 \times 10^{-8}

Then Sam has reported this answer in scientific notation

Lets understand what is scientific notation of any number.

Scientific notation is a way of representing number between 1 and 10 incluing 1 and excluding 10 multiplied by appropriate power of 10.

Let us rewrite the Sam's answer in scientific notation

<em><u>The format for writing a number in scientific notation is:</u></em>

(first digit of the number) followed by (the decimal point) and then (all the rest of the digits of the number), times (10 to an appropriate power).

In 1812.5 \times 10^{-8} , we move the decimal 3 times to left side

Since the decimal is moved left side, we multiply by 10^3

1812.5 \times 10^{-8} = 1.8125 \times 10^3 \times 10^{-8} \\\\1812.5 \times 10^{-8} = 1.8125 \times 10^{-5}

Exponent is a quantity representing the power to which a given number or expression is to be raised

So in 1.8125 \times 10^{-5} exponent is -5

5 0
2 years ago
The graph shows the influence of the temperature T on the maximum sustainable swimming speed S of Coho salmon. (b) Estimate the
Alex17521 [72]
From the graph it appears that S′(5) 2 ≈ and S′(25) 2 ≈ − . The important thing is that they do have opposite signs. The first means that at about 5ºC the Coho gains about 2 cm/sec while at 25ºC it loses about 2 cm/sec in maximum sustainable speed.
3 0
2 years ago
Read 2 more answers
A mapping diagram showing a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negat
il63 [147K]

Answer:

  {x | x = –5, –3, 1, 2, 6}

Step-by-step explanation:

The domain is the list of first-values of the ordered pairs:

   {x | x = –5, –3, 1, 2, 6}

7 0
2 years ago
Read 2 more answers
Jenny multiplies the square root of her favorite positive integer by $\sqrt{2}$. Her product is an integer. a) Name three number
Dmitry [639]

Answer:

Part a) 2,50,18

Part b) When Jenny divides the square root of her favorite positive integer by \sqrt{2}, she gets an integer

Step-by-step explanation:

Let

x-------> the favorite positive integer

Part a)

1) For x=2

\sqrt{2}*\sqrt{2}=\sqrt{4}=2 -----> the product is an integer

so

The number x=2 could be Jenny favorite positive integer

2) For x=50

\sqrt{50}*\sqrt{2}=\sqrt{100}=10 -----> the product is an integer

so

The number x=50 could be Jenny favorite positive integer

3) For x=18

\sqrt{18}*\sqrt{2}=\sqrt{36}=6 -----> the product is an integer

so

The number x=18 could be Jenny favorite positive integer

Part B)

1) For x=2

\sqrt{2}/\sqrt{2}=\sqrt{1}=1 -----> the result is an integer

2) For x=50

\sqrt{50}/\sqrt{2}=\sqrt{25}=5 -----> the result is an integer

3) For x=18

\sqrt{18}/\sqrt{2}=\sqrt{9}=3 -----> the result is an integer

Therefore

When Jenny divides the square root of her favorite positive integer by \sqrt{2} , she gets an integer

4 0
2 years ago
Compare the values of the underlined digits. 2,783 and 7,283.
netineya [11]

The value of the 2 in the thousands place is 10 times the value of 2 in the hundreds place.

200 x 10 =  2000

hope this helps

4 0
2 years ago
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