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Ipatiy [6.2K]
3 years ago
6

A laptop computer is purchased for $1350 . After each year, the resale value decreases by 30% . What will the resale value be af

ter 5 years?
Mathematics
1 answer:
Zinaida [17]3 years ago
5 0

\bf \qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &1350\\ r=rate\to 30\%\to \frac{30}{100}\dotfill &0.30\\ t=\textit{elapsed time}\dotfill &5\\ \end{cases} \\\\\\ A=1350(1-0.30)^5\implies A=1350(0.7)^5\implies A=226.8945

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after five tests, Mike's average score is 91. After 6 tests, his average score was 89. what was his score, on the sixth test?
tensa zangetsu [6.8K]
( x 1 + x 2 + x 3 + x 4 + x 5 ) / 5 = 89 Multiply both sides by 5 

<span>x 1 + x 2 + x 3 + x 4 + x 5 = 89 * 5 = 445 </span>


<span>( x 1 + x 2 + x 3 + x 4 + x 5 + x 6 ) / 6 = 90 </span>

<span>( 445 + x 6 ) / 6 = 90 Multiply both sides by 6 </span>

<span>445 + x 6 = 6 * 90 = 540 </span>

<span>x 6 = 540 - 445 = 95</span>
3 0
3 years ago
HELPPP PLEASEEEEE
astraxan [27]

The difference in volumes between cube and cone is 5190.52 cubic units.

<h3>How to find the volume of a cube?</h3>

Suppose that:

The side length of the considered cube is L units.

Then, we get:

The volume of that cube = L³ cubic units.

The outer figure is a cube with an edge length of 20 centimeters.

The volume of that cube = L³ cubic units.

= 8000 cubic units.

The volume of that cone

V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3

The height is 20 cm and the radius will be

D = 20\sqrt{2} \\ = 28.2\\\\r = D/2\\ = 14.1

volume of that cone

V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3

= V = \dfrac{1}{3} (3.14) (14.1)^3 (20) \: \rm unit^3

= 59190.52  cubic units

Therefore, the difference in volumes bbetween cube and cone is 5190.52 cubic units.

Learn more about the volume of a cube here:

brainly.com/question/26136041

#SPJ2

7 0
2 years ago
Read 2 more answers
The sum of two numbers is 51. If one fourth of one number exceeds one fifth of another number by 6, which of the following is th
Dmitrij [34]

Answer:

Let X be the smaller number

Then the larger number is X + 24

 

X + (X + 24) = 58

2X + 24 = 58

2X = 34

X = 17

 

So the smaller number is 17, the larger number is 41 (17 + 24)

5 0
3 years ago
What is the shaded area of this figure? Please explain
Ede4ka [16]
I actually don't know how to explain to you, because there's no pointe name.
I just can tell you is use the big square minus the triangle on the top and minus the triangle on the bot.


8 0
3 years ago
Pls help me will give brainliest
Brilliant_brown [7]

Answer:

83

Step-by-step explanation:

4 0
3 years ago
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