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IRINA_888 [86]
3 years ago
15

A computer cost $800. It loses 1/4 of its value every year after it is purchased. complete the table to show the value of the co

mputer at the listed times.

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
7 0
<h2>Answer:</h2><h2>The value after 0 years = $ 800</h2><h2>The value after 1 year = $600</h2><h2>The value after 2 years = $450</h2><h2>The value after 3 years = $337.5</h2><h2>The value after n years = computer cost at (n-1) year - \frac{1}{4} (n-1 cost)</h2>

Step-by-step explanation:

The cost of computer = $ 800

It losed 1/4th of value every year.

The value of computer after 0 years = cost of computer = $ 800

The value after 1 year = 800 - ( \frac{1}{4} (800)) = $600

The value after 2 years = 600 - ( \frac{1}{4} (600)) = $450

The value after 3 years = 450 - ( \frac{1}{4} (450)) = $337.5

The value after n years = computer cost at (n-1) year - \frac{1}{4} (n-1 cost)

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a. 7m+19

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Step-by-step explanation:

7 0
2 years ago
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Write the numerical expression. 6 times the sum of 12 and 8. Write your answer with no spaces.
Murljashka [212]

Answer:

6(12+8)

Step-by-step explanation:

the word 'times' would indicate the multiplication of 2 numbers

the word 'sum' would indicate the addition of 2 numbers. in this case, 12 + 8 would be placed in parenthesis

hope this helps!! :)

7 0
3 years ago
Doune Punowing:
nataly862011 [7]

The length of pathway is 10 inches on map.

Step-by-step explanation:

Given,

Total distance = 350 miles

According to map,

1 inch = 35 miles

Let, x be the number of inches on map.

Therefore, using proportion;

Inch : mile :: inch : mile

1:35::x:350\\

Product of mean = Product of extreme

35*x=350*1\\35x=350\\

Dividing both sides by 35;

\frac{35x}{35}=\frac{350}{35}\\x=10

The length of pathway is 10 inches on map.

Keywords: Ratio, proportion

Learn more about proportions at:

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8 0
3 years ago
The indefinite integral can be found in more than one way. First use the substitution method to find the indefinite integral. Th
Fantom [35]

Answer:

∫6x^5(x^6-2)\,dx = \frac{1}{2}(x^6-2)^2+C

Step-by-step explanation:

To find:

∫6x^5(x^6-2)\,dx

Solution:

Method of substitution:

Let x^6-2=t

Differentiate both sides with respect to t

6x^5\,dx=dt

[use (x^n)'=nx^{n-1}]

So,

∫6x^5(x^6-2)\,dx = ∫ t\,dt = \frac{t^2}{2}+C_1 where C_1 is a variable.

(Use ∫t^n\,dt=\frac{t^{n+1} }{n+1} )

Put t=x^6-2

∫6x^5(x^6-2)\,dx = \frac{1}{2}(x^6-2)^2+C_1

Use (a-b)^2=a^2+b^2-2ab

So,

∫6x^5(x^6-2)\,dx = \frac{1}{2}(x^6-2)^2+C_1=\frac{1}{2}(x^{12}+4-4x^6)+C_1=\frac{x^{12} }{2}-2x^6+2+C_1=\frac{x^{12} }{2}-2x^6+C

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Without using substitution:

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So, same answer is obtained in both the cases.

7 0
2 years ago
Zane calculated the missing side length of one of these triangles using the Pythagorean Theorem. Which triangle is it?
topjm [15]
The pythagorean theorem states that for any RIGHT-ANGLED TRIANGLE, the relationship between the side lengths are A²+B²=C², where C is the hypotenuse :P

Which means that it can only be applied on right angled triangles~
So your answer would be B, a right-angled triangle.

Ask me if you are unsure about anything <3
6 0
3 years ago
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