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jolli1 [7]
3 years ago
15

Carl wants to buy a television that costs $745, including taxes. To pay for the television, he will use a payment plan that requ

ires him to make a down payment of $120, and then pay $89.30 each month for 8 months. What is the percent increase from the original cost of the television to the cost of the television using the payment plan? *
Mathematics
1 answer:
erastovalidia [21]3 years ago
3 0

Answer:

12%

Step-by-step explanation:

We are trying to find the percent increase from the original cost to the payment plan cost. To do that, we need to first figure out how much the payment plan would cost in total.

Lets solve for the cost of the payment plan:

$120 + $89.30(8) = $834.40

Next, use the percent increase formula as shown below:

x=\frac{New-Original}{Original} (100)

Plug in the values:

1) x=\frac{834.40-745}{745} (100)

2) x=.12(100)

3) x=12

Our answer is 12%.

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1. Which of the following systems is consistent and dependent?
Kamila [148]

Answer:

Choice d.

Step-by-step explanation:

Consistent means the linear functions will have at least one solution.

Independent means the it will just that one solution.

Dependent means the system will have infinitely many solutions.

So we are looking for a pair of equations that consist of the same line.

y=mx+b is slope-intercept form where m is the slope and b is the y-intercept.

If m and b are the same amongst the pair, then that pair is the same line and the system is consistent and dependent.

If m is the same and b is different amongst the pair, then they are parallel and the system will be inconsistent (have no solution).

If m is different, then the pair will have one solution and will be consistent and independent.

---------------------------

Choice A:

First line has m=1 and b=4.

Second line has m=1 and b=-4.

These lines are parallel.

This system is inconsistent.

Choice B:

First line is x+y=4 and it isn't in y=mx+b form.

Second line is 2x+2y=6 and it isn't in y=mx+b form.

These lines do have the same form though. This is actually standard form.

If you divide second equation by 2 on both sides you get:  x+y=3

The lines are not the same.

We are looking for the same line.

Now we could go ahead and determine to call this system.

If x+y has value 4 then how could x+y have value 3.  It is not possible. There is no solution. These lines are parallel.

Need more convincing. Let's put them into slope-intercept form.

x+y=4

Subtract x on both sides:

y=-x+4

m=-1 and b=4

x+y=3

Subtract x on both sides:

y=-x+3

m=-1 and b=3.

The system is inconsistent because they are parallel.

Choice c:

I'm going to go ahead in put them both in slope-intercept form:

3x+y=3

Subtract 3x on both sides:

y=-3x+3

So m=-3 and b=3

2y=6x+6

Divide both sides by 2:

y=3x+3

So m=3 and b=3

The m's are different so this system will by consistent and independent.

Choice d:

The goal is the same. Put them in slope-intercept form.

4x-2y=6

Divide both sides by -2:

-2x+y=-3

Add 2x on both sides:

y=2x-3

m=2 and b=-3

6x-3y=9

Divide both sides by -3:

-2x+y=-3

Add 2x on btoh sides:

y=2x-3

m=2 and b=-3

These are the same line because they have the same m and the same b.

This system is consistent and dependent.

8 0
3 years ago
Last winter Armand had 5/6 of a row of stacked logs. At the end of the winter he had 8/15 of the same row left how much wood did
RUDIKE [14]

Answer:

\frac{3}{10}

Step-by-step explanation:

First we have to make the fractions even so there denominator have to be equal. So 15 times 2 gets 30 and 6 times 5 gets 30 too. Now multiply the numerator by the corresponding number of 25/30 and 16/30. Subtract to get 9/30 now simplify to get 3/10.

4 0
3 years ago
Read 2 more answers
Correct answer gets brainliest and 5 stars
dsp73

Answer:

16 ft

Step-by-step explanation:

Slant Height=sqrt(Radius^2+Height^2)

Height=sqrt(20^2-12^2)=sqrt(256)=16 ft

7 0
3 years ago
Read 2 more answers
Consider a population consisting of values 2, 3, 5, 7. what is the population standard deviation?
denis23 [38]

Answer:

The population standard deviation is 1.92.

Step-by-step explanation:

Population mean:

Sum of all values divided by the number of values. Thus:

M = \frac{2 + 3 + 5 + 7}{4} = 4.25

Population standard deviation:

Square root of the division between the sum of the difference squared of each value and the mean, and the number of values. Thus.

S = \sqrt{\frac{(2-4.25)^2 + (3-4.25)^2 + (5-4.25)^2 + (7-4.25)^2}{4}} = 1.92

The population standard deviation is 1.92.

6 0
3 years ago
What is the kinetic energy of a bicycle that has a mass of 20 kg and is traveling at a velocity of 10 m/sec? KE= .5 x M x V^2
sleet_krkn [62]
You have the formula.
KE= 0.5(20 kg) (10 m/s)^2
KE= 10kg * 100 = 1000 J
8 0
3 years ago
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