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2 years ago

The price of a specic model of a new car decreased from $23,000 to $21,000 in one year. What is the

Mathematics

1 answer:

Alex2 years ago

3 0

The decrease is 8.7%

Step-by-step explanation:

Old price = $23000

New price = $21000

Difference = New price - Old price

Difference = 21000 - 23000 = -2000

The negative sign indicates the decrease.

$Percent\ decrease=\frac{Difference}{New\ value}*100\\\\Percent\ decrease=\frac{2000}{23000}*100\\\\Percent\ decrease=\frac{200000}{23000}\\\\Percent\ decrease=8.69\%$

Rounding off to nearest tenth;

Percent decrease = 8.7%

The decrease is 8.7%

Keywords: difference, percentage

Learn more about percentages at:

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28.6% of city employees ride the bus to work. Last year, 29.7% of city employees rode the bus to work. What is the relative chan

yaroslaw [1]

A percentage is a way to describe a part of a whole. The relative change from last year to this year is 3.7%.

<h3>What are Percentages?</h3>

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

28.6% of city employees ride the bus to work, therefore, the final value is 28.6. While Last year, 29.7% of city employees rode the bus to work, therefore, the initial value is 29.7.

Since relative change means change with respect to some value. Thus, the relative value with respect to last year is,

Relative value = (29.7-28.6)/29.7 = 0.037 = 3.7%

Hence, the relative change from last year to this year is 3.7%.

Learn more about Percentages:

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8 0

1 year ago

The perimeter of a square is 120 inches what is its area

nata0808 [166]

Answer:

A = 900in²

Perimeter 120in

Using the formulas

A = a²

P = 4a

Step-by-step explanation:

Solving for A:

A = 1/16 P² = 1/16 · 120² = 900in²

5 0

2 years ago

Read 2 more answers

two terms of an arithmetic sequence are a6= 40 and a20= -16. write and explicit rule for the nth term

Lana71 [14]

Answer:

Tn = 64-4n

Step-by-step explanation:

The nth term of an AP is expressed as:

Tn = a+(n-1)d

a is the common difference

n is the number of terms

d is the common difference

Given the 6th term a6 = 40

T6 = a+(6-1)d

T6 = a+5d

40 = a+5d ... (1)

Given the 20th term a20 = -16

T20 = a+(20-1)d

T20 = a+19d

-16 = a+19d... (2)

Solving both equation simultaneously

40 = a+5d

-16 = a+19d

Subtracting both equation

40-(-16) = 5d-19d

56 = -14d

d = 56/-14

d = -4

Substituting d = -4 into equation

a+5d = 40

a+5(-4) = 40

a-20 = 40

a = 20+40

a = 60

Given a = 60, d = -4, to get the nth term of the sequence:

Tn = a+(n-1)d

Tn = 60+(n-1)(-4)

Tn = 60+(-4n+4)

Tn = 60-4n+4

Tn = 64-4n

7 0

3 years ago

Given the equation 6/x=3/k+2, and the constraints x ≠ 0 and k ≠-2, what is x in terms of k?

Veronika [31]

Answer:

A) 2k+4

Step-by-step explanation:

To solve for terms of x, we need to. she sure that x is on its own side while every other term is on the other side.

To start, we will cross multiply. If we have a/b=c/d, then ad=bc

We can perform the same calculation here,

6/x=3/(k+2)

6(k+2)=3x

Divide both sides by 3

2(k+2)=x

x=2k+4

7 0

3 years ago

Simplfy 3^4x-1 = 81

Sonbull [250]

Answer:

x=82/81

Step-by-step explanation:

5 0

2 years ago