You buy a new computer for $1500. The value of the computer decreases by 6% every year. How much is the computer worth after 4 years?

Any given equation can be solved with the help of transpose method by following the steps mentioned below, but first understand what is linear equation.

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. It is of the form -

y = ax + b

Given a simple equation and we have to solve the equation using transpose method.

We will learn about transpose method of equation solving with the help of an example. Assume that you have to solve the following expression -

4(x + 9) = 3(x + 7)

STEP - 1 - Identify the unknown variable.

In the expression given, the unknown variable is x.

STEP - 2 - Solve the Left hand side and Right hand side to make both sides simpler.

In the expression given, we will simplify both sides -

4(x + 9) = 3(x + 7)

4x + 4 × 9 = 3x + 3 × 7

4x + 36 = 3x + 21

STEP - 3 - Transfer the terms that containing variable one Left hand side of equation and the constant terms on the right hand side.

Apply Step 3 -

4x - 3x + 36 = 21

4x - 3x = 21 - 36

STEP - 4 - Solve for unknown variable.

We have -

4x - 3x = 21 - 36

x = - 15

Therefore, any given equation can be solved with the help of transpose method by following the steps mentioned above.

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Answer:

[tex]\displaystyle \mathsf $\dfrac{1}{2}$ km[/tex]

Step-by-step explanation:

If I have traveled 1/4th of the distance between two places, I still have 1 - 1/4 = 3/4th of the distance yet to cover

If the distance between the two places is d, distance left =(3/4) . d

In this case, d = 2/3 km

So distance left to cover = [tex]\dfrac{2}{3}\cdot \dfrac{3}{4}[/tex]

We can cross-cancel the 3 which appears as the denominator in the first fraction and the numerator in the second fraction

[tex]\dfrac{2}{\cancel{3}}\cdot\dfrac{{\cancel{3}}}{4}=\dfrac{2}{4}[/tex]

Dividing both numerator and denominator by 2 gives us

[tex]\dfrac{2\div2}{4\div2}=\dfrac{1}{2}[/tex]

Answer:
[tex]\displaystyle \mathsf $\dfrac{1}{2}$ km[/tex]

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{((243 {)}^{2n/5} ) \sdot( {3}^{2n + 1}) }{ ({9}^{n + 1}) \sdot( {3}^{2(n - 2)} )}[/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{(3{)}^{5(2n/5)} ) \sdot( {3}^{2n + 1}) }{ ({3 }^{2(n + 1)}) \sdot( {3}^{2(n - 2)} )}[/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{(3{)}^{2n} \sdot( {3}^{2n + 1}) }{ ({3 }^{(2n + 2)}) \sdot( {3}^{(2n - 4)} )}[/tex]

let's break it up :

now let's take [tex]{ \sf {3}^{(2n-4)}} [/tex] common here ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{(3{)}^{(2n - 4)} (3 {}^{4} \sdot{3}^{5}) }{ {(3 )}^{(2n - 4)}(3 {}^{6} \sdot1)}[/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{{} (3 {}^{4} \sdot{3}^{5}) }{ (3 {}^{6} \sdot1)}[/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{{} 3 {}^{9} }{ 3 {}^{6} }[/tex]

[tex]\qquad \sf  \dashrightarrow \: 3 {}^{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 27[/tex]

Answer:

Step-by-step explanation:

[tex]\sf \cfrac{243^{\frac{2n}{5}}\cdot \:3^{2n+1}}{9^{n+1}\cdot \:3^{2\left(n-2\right)}}[/tex]

[tex]\sf 9^{n+1}\cdot \:3^{2\left(n-2\right)}[/tex]

Simplify:-

[tex]\sf \cfrac{3^{2n}\cdot \:3^{2n+1}}{\boxed{\bf 3^{4n-2}}}[/tex]

Now, Factor:-

[tex]\sf \cfrac{3^{2n}\cdot \:3^{2n+1}}{3^{4n-2}}[/tex]

Now, let's simplify:-

Simplify:-

Apply the exponent rule:-

Therefore, your answer is 27.

______________________

Hope this helps!

Have a great day!

The complement of the angle 14° 17' would be; 75° 43'

We want to find the complement of the angle 14° 17'

The complement of 14° is the angle that when added to 14° forms a right angle (90° ).

Now, when an apostrophe is found in the word angles, it means 'angular minutes, while " denotes angular seconds. For instance, "75degree 20′ 39" means "75 degrees, 20 minutes, and 39 seconds."

Thus, 14° 17' means 14 degrees, 17 minutes.

Now, 17 minutes when converted to degree is;

17/60 degrees = 0.283. Thus; 14° 17' = 14.283

Now, the complement of 14° 17' would be;

90 - 14° 17' = 75° 43'

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Answer:

A. The solution set is x = 5 or -7

Step-by-step explanation:

[tex] \sqrt[4]{ {x}^{2} + 2x } = \sqrt[4]{35} \\ {({x}^{2} + 2x) }^{ \frac{1}{4} } = {(35)}^{ \frac{1}{4} } \\ {x}^{ \frac{1}{2} } + {2x}^{ \frac{1}{4} } = {35}^{ \frac{1}{4} } \\ {x}^{2} + 2x = 35 \\ {x}^{2} + 2x - 35 = 0 \\ (x - 5)(x + 7) = 0 \\ x = 5 \: or \: - 7[/tex]

Therefore, the answer is A. as the solution is x = 5 or -7

Answer:

1. The perimeter of the basketball poster is 240.

The perimeter of the football poster is 282.

3. Football poster has the greater perimeter.

Step-by-step explanation:

To find the perimeter of the basketball poster you multiply the given side by 4 since there is 4 sides. So 60 * 4 = 240.

To find the perimeter of the football poster you use the formula 2(l+w). So our l (length) is 86, while our w(width) is 86. So plug it in the formula.

2(55+86)=282.

282 > 240, which means that the football poster has a greater perimeter.

Hope that helps, have a good day!! :D

Answer:

54=12+r

Step-by-step explanation:

'Sum' means to add.

54 = 12 + rhonda's height

54 = 12 + r

To solve this problem one must be aware of the concepts of standard deviation and variance of raw data.

There is a direct formulae to calculate the variance of the data,

Variance = [tex]σ^{2} =\frac{Sigma(xi-m)^{2}}{n}[/tex]

Now here we need to verify ∑x and ∑[tex]x^{2}[/tex].

∑x = 21+19+15+32+27

     = 114

and ∑[tex]x^{2}[/tex] = [tex]21^{2} +19^{2} +15^{2} +32^{2} +27^{2}[/tex]

             = 441+361+225+1024+729

             = 2780

So, the given relation is true.

Now the variance of the given data by putting the values in the formulae is  equal to 45.2.

And Standard deviation=[tex]\sqrt{Variance}[/tex]

                                     = [tex]\sqrt{45.2}[/tex]

                                      = 6.72

And for population α²=36.16 and deviation=6.01.

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I will have 5 stampers

I, Newton and Descartes have 17 Stampers in total

Newton and Descartes have 6 stampers each

6 + 6

= 12

The number of stampers left for me can be calculated as follows

= 17 - 12

= 5

Hence I have 5 stampers  

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Answer: N * (n+7) = n^2 + 7n

Step-by-step explanation:

This equation would be the number, n, times n+7 because n+7 is 7 more than n. To do this, you have an equation like this:

N * (N+7). You would then do distributive property, and n*n would be n squared, and n*7 would be 7n. This would give you a combined answer of n squared + 7n, or n^2 +7n.

Answer:

10

Step-by-step explanation:

[tex]x=0 \implies x\in \{-15, -12, 0, 10\} \\ \\ \therefore f(0)=11-|0-1|=10[/tex]

The total outcomes for the event C: selecting a club card from a standard deck of 52 playing cards = 13

In this question, we have been given an event of a random experiment.

You randomly select one card from a standard deck of 52 playing cards. Event C is selecting a club.

We need to find the total number of outcomes for event C.

Number of cards in a deck = 52

We know that, the number of club cards in the standard deck of cards = 13

Therefore, the total outcomes for the event C: selecting a club card from a standard deck of 52 playing cards = 13

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Answer:6.986

Step-by-step explanation:

To find the standard deviation of a set of data I find it easiest to make a chart. First you must find the mean of your data. In this case it is 476.85. Then you must subtract the mean from each data point, and square each number. Now you take your new set of data that has been squared and find the mean of these numbers. This is 48.8006. Lastly, take the square root of this number. In this case your standard deviation is 6.986.

Answer: Standard deviation is 6.986.

Step-by-step explanation:

Given an data 69.2,85.2,85.2,73.8,57.9,42.6,59,67.2,85.2,61 and have to calculate standard deviation

To find the standard deviation of a set of data I find it easiest to make a chart. First you must find the mean of your data. In this case it is 476.85. Then you must subtract the mean from each data point, and square each number.

Now you take your new set of data that has been squared and find the mean of these numbers. This is 48.8006. Lastly, take the square root of this number.

In this case standard deviation is 6.986.

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Answer:

B

Step-by-step explanation:

because it most reasonable

also you times the number as much as the exponents

Answer:

A. (5^8)/(5^9)

Step-by-step explanation:

Using the properties of exponents, in this case case the Power of Quotient Rule, can be changed into the one in A.

Answer:

5(x+3) = 7

Step-by-step explanation:

5(x+3) = 7

Answer:

its 1/3

Step-by-step explanation:

see picture for referance

Answer:

Se hunde mas rapido en agua salada.

Step-by-step explanation:

Answer: 30%

Step-by-step explanation: just add the 20% and 10% and you get 30%

After simplification of the given expression, 6a + (-12b) - 9b + 8a the value is (B) 14a - 21b.

So, 6a + (-12b) - 9b + 8a:

Therefore, after simplification of the given expression, 6a + (-12b) - 9b + 8a the value is (B) 14a - 21b.

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The correct question is given below:
Simplify 6a+ (-12b) - 9b+8a

A. 2a + 3b

B. 14a-21b

C. 2a-21b

D. 14a + 3b

Answer:

acute

Step-by-step explanation:

acute: degrees are all less than 90*

right angles: have a 90* angle

obtuse angle: has an angle greater than 90*

The homeowners pay a $25 monthly usage fee and $3 per hundred cubic feet for water number line is- 75,100

Given:

In Town A

$25 monthly usage fee

$3 per hundred cubic feet for water.

In Town B,

homeowners pay $2.00 per hundred cubic feet and a $50 monthly

For town A=25×3=75

For town B=50×2=100

When we write numbers on a number line, we can easily compare them and execute simple arithmetic operations on them. A number line's origin is defined as zero (0). The numbers to the left of 0 are all negative, whereas the numbers to the right of 0 are all positive. So, as we walk towards the right on a number line, the value of numbers increases.

A number line includes both positive and negative numbers. A negative number line is formed by the segment of the number line to the left of zero.

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The projected value of the house after 15 years is $347500.

A house is purchased for $145,000.

The value of the house increases each year by 6% of its value the previous year.

Let y(n) denote the value of the house after n years.

Initial value is $145,000.

⇒ y(0) = 145,000

The value of the house increases each year by 6% of its value the previous year.

Therefore the growth is exponential, and we have

y(n) = y(0)(1+0.06)ⁿ

When n = 1

⇒y(1) = 145000 × (1.06)

⇒y(1) = 153700

When n = 2,

⇒y(2) = 145000 × (1.06)²

⇒y(2) = 162922

Therefore, when n = 15,

⇒y(15) = 145000 × (1.06)¹⁵

⇒y(15) = 3,47,500

Therefore, the projected value of the house after 15 years is $347500.

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I will need $1,61,884.2 to pay off the mortgage.

This problem is related to simple interest and we have to calculate the amount after 10 years which is payable in the form of mortgage.

The monthly mortgage payment is $1,345.

Rate of interest is 3.6% per annum.

Time is given to be 10 years.

Simple interest for 10 years = 1345×3.6×10/100

                                            = $ 484.2

So, the total money required to clear the mortgage

= $(1345×12×10) + $ 484.2

= $161400 + $484.2

= $ 1,61,884.2

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Answer:

(x+3)(x-3)

Step-by-step explanation:

When factoring x^2-9 you'd look for square multiples of -9.

Because 3×3 is 9, 3 is your square. You can't just use (x+3) because your outcome is a -9. Which is why your answer would be (x+3)(x-3)

Answer:

8

Step-by-step explanation:

shirts = 10, price per shirt = $9

shirts = 25, price per shirt = $8.40

Linear equation be:

y = mx + b

x = 10 , 25

y = 9 , 8.40

9 = 10m + b  

8.4 = 25m + b

9 = 10 m + b  b = 9 - 10m

8.4 = 25m + b 8.4 = 25m + 9 - 10m

8.4 - 9 = 15m m = -0.6/15 = -0.04

m = - 0.04

b = 9 - 10m = 9 - 10(-0.04) = 9+0.4 = 9.4

b = 9.4

The linear equation =

y = mx + b

y = -0.04x + 9.4

Hope this helped xx ?<3

6.2E15

Here ; E stands for "times 10 to the power of or simply it replaces 10^ "

Answer:

explicit formula is a mix of different upgraded formulas

Step-by-step explanation: