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Dmitry_Shevchenko [17]

3 years ago

8

A new plasma screen tv costs $2,970. A family makes a down payment of $720 and pays off the balance in 18 equal monthly payments

find the monthly payment

1 answer:

ratelena [41]3 years ago

4 0

The monthly payment would be 125. 2,970-720=2,250 2,250/18=125 a month

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20% off $339 what is the answer help me

ehidna [41]

Times 339 by . 2 and you get

7 0

2 years ago

Read 2 more answers

Given f(x) is a linear function with slope 3 and y-intercept -5, what is the equation of f(x) in standard form?

lawyer [7]

The standard form:

$Ax+By=C$

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

We have m = 3 and b = -5.

Substitute:

$y=3x-5$ subtract 3x from both sides

$-3x+y=-5$ change the signs

$3x-y=5$

7 0

2 years ago

Ramon earns $1,880 each month and pays $53.30 on electricity. To the nearest tenth of a percent, what percent of Ramon's earning

AfilCa [17]

<h2>Answer:</h2>

Each month, 2.8% Ramon's earnings are spent on electricity.

<h2>Step-by-step explanation:</h2>

You know, that 100 percent are his earnings - $1,880

Now, you need to find out, how much is 1%. You do that by dividing $1,880 by 100.

Now you have to divide the amount he pays on electricity - $53.3 by one percent of his earnings - $18.8

So, now you know, that he pays exactly 2.83511% of his earnings on electricity. But from assignment, you know, that it has to be rounded to the nearest tenth of a percent. The number is 2.8351. So we will round it to 2.8% ,because 3 is rounded down. (https://www.mathsisfun.com/rounding-numbers.html)

100% = $1,880

$1,880/100 = $18.8

$53.3/$18.8 = 2.83511

2.83511% ≈ 2.8%

3 0

2 years ago

What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where

Setler79 [48]

Answer:

$k=-16,k=-8,k=8,k=16$

Step-by-step explanation:

We are given quadratic equations as

$x^2+kx+15$

and it can be factored as

$=(x+a)(x+b)$

now, we can multiply factor term

$(x+a)(x+b)=x^2+(a+b)x+ab$

now, we can compare

$x^2+(a+b)x+ab=x^2+kx+15$

so, we get

$k=a+b$

$ab=15$

we are given that

'a' and 'b' are integers

so, we can find all possible factors

$15=(-1\times -15),(1\times 15)$

$15=(-3\times -5),(3\times 5)$

so, we can find k

At $(-1\times -15)$ :

$k=a+b$

we can plug values

$k=-1-15$

$k=-16$

At $(1\times 15)$ :

$k=a+b$

we can plug values

$k=1+15$

$k=16$

At $(-3\times -5)$ :

$k=a+b$

we can plug values

$k=-3-5$

$k=-8$

At $(3\times 5)$ :

$k=a+b$

we can plug values

$k=3+5$

$k=8$

So, values of k are

$k=-16,k=-8,k=8,k=16$

6 0

3 years ago

Mike wants to fence in part of his backyard. He wants the length of the fenced-in area to be at least 20 feet long, l ≥ 20. He h

zhuklara [117]

I added a screenshot of the complete question along with the given choices.

<em><u>Answers:</u></em>

w = 10 ft and l = 50 ft ................> second option

w = 20 ft and l = 60 ft ...............> third option

w = 50 ft and l = 40 ft ...............> fifth option

<em><u>Explanation:</u></em>

<u>We are given that:</u>

length should be at least 20 ...........> length ≥ 20

equation for perimeter is : 2l + 2w ≤ 200

<u>We will check each option as follows:</u>

<u>Option 1:</u>

w = 50 ft and l = 10 ft

This option is incorrect as the proposed length is less than 20.

<u>Option 2:</u>

w = 10 ft and l = 50 ft

Since the length is greater than 20, the first condition is satisfied.

Now, we check the second condition:

2l + 2w = 2(50) + 2(10) = 100 + 20 = 120 ≤ 200

The second condition is also satisfied.

This option is correct

<u>Option 3:</u>

w = 20 ft and l = 60 ft

Since the length is greater than 20, the first condition is satisfied.

Now, we check the second condition:

2l + 2w = 2(60) + 2(20) = 120 + 40 = 160 ≤ 200

The second condition is also satisfied.

This option is correct

<u>Option 4:</u>

w = 90 ft and l = 30 ft

Since the length is greater than 20, the first condition is satisfied.

Now, we check the second condition:

2l + 2w = 2(30) + 2(90) = 60 + 180 = 240 > 200

The second condition is not satisfied.

This option is incorrect

<u>Option 5:</u>

w = 50 ft and l = 40 ft

Since the length is greater than 20, the first condition is satisfied.

Now, we check the second condition:

2l + 2w = 2(50) + 2(40) = 100 + 80 = 180 ≤ 200

The second condition is also satisfied.

This option is correct

Hope this helps :)

8 0

3 years ago

Read 2 more answers