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Karo-lina-s [1.5K]

1 year ago

6

Susan wants to buy a paddle boat for $840. She will pay 20% down and pay the rest in six monthly installments. What will be the

amount of each monthly payment?

1 answer:

Usimov [2.4K]1 year ago

4 0

20 % of the price: 0.2 · 840 = $168
The rest: $840 - $168 = $672
$372 : 6 = $112
The amount of each monthly payment will be $112.

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The total operating cost to run the organic strawberry farm varies directly with its number of acres. What is the constant of va

kow [346]

Answer:

$16\ acres$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x ----> the number of acres

y ---> total operating costs

we have the ordered pair (20,551,520)

For x=20 acres, y=$551,520

<em>Find the value of the constant of proportionality k</em>

$k=\frac{y}{x}$

substitute the values of x and y

$k=\frac{551,520}{20}=\$27,576\ per\ acre$

The linear equation is equal to

$y=27,576x$

Find out how many acres are on a farm with a total operating cost of $441,216

so

For y=$441,216

substitute in the linear equation the value of y and solve for x

$441,216=27,576x$

$x=441,216/27,576$

$x=16\ acres$

5 0

2 years ago

Read 2 more answers

NEED HELP ON NUMBER 13 AND 14

Kazeer [188]

Answer:

Question 13: For age groups y=1 and y=1.3 response is 8 microseconds.

Question 14: The club was making a loss between 11.28 and 4.88 years.

Step-by-step explanation:

Question 13:

The age group y for which the response rate R is 8 microseconds is given by the solution of the equation

$8=y^4 +2y^3 - 4y^2 -5y +14.$

We graph this equation and find the solutions to be

$y=1;$ $y=1.302;$ $y=-2;$ $y=-2.302.$

Since only positive solutions for y are valid in the real world we take only those.

Thus only for age groups y=1 and y=1.3 the response is 8 microseconds.

Question 14:

The footbal club is making a loss when $p(t)$

Or

$t^3 -14t^2 +20t +120$

We graph this inequality and find the solutions to be

$t$ and $4.88$

Since in the real world only positive values for t are valid, we take the the second solution to be true.

Thus the club was making a loss in years $4.88$

5 0

2 years ago

A hardware store owner is replenishing his stock of base paint for an upcoming home improvement sale. He conducted a survey to d

antiseptic1488 [7]

Solution:

Matte Satin Glossy Total

Homeowners 0.08 0.20 0.24 0.52

Contractors 0.04 0.26 0.18 0.48

Total 0.12 0.46 0.42 1

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Answer: Percentage of contractors who prefer the glossy finish is:

$\frac{0.18}{0.48}=0.375
$ or $37.5\%$

Therefore, the option D. 37.5% is correct

6 0

1 year ago

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Each journal weighs about 280 grams.What is total weight of 3 jpurnals?

Phoenix [80]

1 journal = 280 grams 3 journals = 280 * 3 280 * 3 = 840 Total weight of 3 journals = 840 grams

8 0

1 year ago

Jerry makes $40,000 a year working at a nearby factory. He gets two weeks paid vacation per year, plus five other paid holidays.

JulijaS [17]

Answer:

Vacation pays are not included in salaries. Therefore, Jerry's calculation is wrong.

Step-by-step explanation:

Given is :

Jerry makes $40,000 a year working at a nearby factory.

He gets two weeks paid vacation per year, plus five other paid holidays.

So total paid holidays become = $14+5=19$ days

Subtracting 19 from 365 days and assuming that Jerry works for 365 days a year.

We get = $365-19=346$ days

So, his per day salary will be = $\frac{40000}{346}= 115.60$

Vacation pays are not included in salaries. Therefore, Jerry's calculation is wrong.

4 0

1 year ago

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