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11111nata11111 [884]
3 years ago
9

The value of a computer is $1200. It loses 20% of its value every year. Write a function the represents the value y (in dollars)

of the computer after t years. The find the value of the computer after 5 years.
Mathematics
1 answer:
Lostsunrise [7]3 years ago
7 0

<em>y = 1200(.80)^t  Plug in 5 for t (time).</em>

<em>y = 1200(.80)^5 </em>

<em>.80^5= 0.33</em>

<em>0.33 x 1200 = 395</em>

<em>Therefore, the value of the computer after 5 years has deteriorated to $396.</em>

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a picture frame originally priced at $13.00 is on sale for $7.50. what is the percent of decrease, rounded to the nearest whole
faltersainse [42]
Percent decrease : (original number - new number) / original number)...x 100

(13.00 - 7.50) / 13.00 = 5.5/13 = 0.42....x 100 = 42% decrease


8 0
2 years ago
Rationalize the denominator of $\frac{5}{2+\sqrt{6}}$. The answer can be written as $\frac{A\sqrt{B}+C}{D}$, where $A$, $B$, $C$
horrorfan [7]

Answer:

A +B+C+D  = 3 is the correct answer.

Step-by-step explanation:

Given:

$\frac{5}{2+\sqrt{6}}$

To find:

A+B+C+D = ? if given term is written as following:

$\frac{A\sqrt{B}+C}{D}$

<u>Solution:</u>

We can see that the resulting expression does not contain anything under \sqrt (square root) so we need to rationalize the denominator to remove the square root from denominator.

The rule to rationalize is:

Any term having square root term in the denominator, multiply and divide with the expression by changing the sign of square root term of the denominator.

Applying this rule to rationalize the given expression:

\dfrac{5}{2+\sqrt{6}} \times \dfrac{2-\sqrt6}{2-\sqrt6}\\\Rightarrow \dfrac{5 \times (2-\sqrt6)}{(2+\sqrt{6}) \times (2-\sqrt6)} \\\Rightarrow \dfrac{10-5\sqrt6}{2^2-(\sqrt6)^2}\ \ \ \ \   (\because \bold{(a+b)(a-b)=a^2-b^2})\\\Rightarrow \dfrac{10-5\sqrt6}{4-6}\\\Rightarrow \dfrac{10-5\sqrt6}{-2}\\\Rightarrow \dfrac{-5\sqrt6+10}{-2}\\\Rightarrow \dfrac{5\sqrt6-10}{2}

Comparing the above expression with:

$\frac{A\sqrt{B}+C}{D}$

A = 5, B = 6 (Not divisible by square of any prime)

C = -10

D = 2 (positive)

GCD of A, C and D is 1.

So, A +B+C+D = 5+6-10+2 = \bold3

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3 years ago
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A = 1/2 b h where b = 3.4 cm and h = 8 cm

A = 1/2 (3.4)(8)

A = 13.6 cm^2

Answer: 13.6 cm^2

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Check the picture below.

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Gekata [30.6K]

Answer:t+3

Step-by-step explanation:

4t+7t+3-10t

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t+3

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