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Korvikt [17]
3 years ago
6

A refrigerator costs $580 a year to run. A family purchases a new one for $1200 that will save them 22% annually in energy costs

. How many years does it take to pay for itself
Mathematics
1 answer:
NeTakaya3 years ago
7 0

Answer:

It will take nine years and four months for the refrigerator to pay for itself.

Step-by-step explanation:

The new refrigerator which costs $1200, saves the family 22% annually in energy cost.

Since the old refrigerator costs $580 to run, we want to determine how many years it will take for 22% of $580 per year to make $1200.

22% of $580

= 580 × 0.22

= 127.6

That is, it saved then $127.6 per year.

Now,

$1200/127.6

≈ 9.4

Which means, it will take 9 years and 4 months for the refrigerator to pay for itself.

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Solve the following simultaneous equations 2x+5y=0 and 3x-4y=23
Elodia [21]

Answer:

x = 5, y = -2

Step-by-step explanation:

2x + 5y = 0 --- Equation 1

Equation 1×3: <u>6x</u> + 15y = 0 --- Equation 2

3x - 4y = 23 --- Equation 3

Equation 3×2: <u>6x</u> - 8y = 46 --- Equation 3

<em>We will be eliminating 6x from Equation 2. </em>

Equation 3-2: 6x - 8y - 6x - 15y = 46-0

-23y = 46

y = 46 ÷ -23

<u>y = -2 </u>

Substitute y = -2 into Equation 1:

2x + 5y = 0

2x + 5(-2) = 0

2x + (-10) = 0

2x - 10 = 0

2x = 10

x = 10 ÷ 2

<u>x = 5 </u>

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3 years ago
What is the value of log27 165
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Step-by-step explanation:

00000165 , given log165=2.2174839 , log697424=5.8434968 .

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2 years ago
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The function p(x)= 2x+1 determines how many pizzas need to be purchased for an after school meeting, where x is the number of st
Yuliya22 [10]
C)73 is the correct answer


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If PQ and RS intersect to form four right angles which statement is true
Rus_ich [418]
Given that PQ and RS intersect to form four right angles, then they form an angle of 90 degrees, this implies that:
if the meet at point O, 
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There are 5 questions listed below. Each question includes:
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a. 22. 79 - amount

b. 129   -   amount

c. 358. 3  - base

d. 40. 65%  - percent

e. 2. 58% - percent

<h3>How to determine the values</h3>

It is important to note that a percentage is the number or ratio expressed as a fraction of 100.

It is denoted using the percent sign, "%"

a. What number is 53% of 43

= 53/ 100 × 43

= 0. 53 × 43

= 22. 79

b. 43% of 300

= 43/ 100 × 300

= 129

c. 12% of what number is 43

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x = 43 × 100/ 12

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d. 43 is what percent of 106

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43/ 100 × 6

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Thus, the percentage of a value is that value divided by 100

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