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3 years ago

Given the system of equations, what is the y-coordinate of the solution?

Mathematics

2 answers:

dolphi86 [110]3 years ago

7 0

5(5-3/2y) - 4y = 7

Simplify:

25 - 15/2y - 4y = 7
-15/2 y - 8/2 y = 7-25
23/2 y = 18
y = 18 * 2/23 = 36/23

bulgar [2K]3 years ago

6 0

If you plug in the second equation (x=5-3/2y) into the first, you get:

5(5-3/2y) - 4y = 7

Simplify:

25 - 15/2y - 4y = 7
-15/2 y - 8/2 y = 7-25
23/2 y = 18
y = 18 * 2/23 = 36/23

answer B!

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What is the finance charge on $13,300 financed at 7.9 percent for 4 years if the monthly payment per $100 is $2.44?

luda_lava [24]

If you borrowed $100, then your monthly payment is $2.44

If you borrowed $200, then your monthly payment is 2*2.44 = 4.88

etc etc

We can set up a proportion

2.44/100 = x/13300

to figure out the monthly payment x. Cross multiply and solve for x

2.44*13300 = 100*x

100x = 2.44*13300

100x = 32452

x = 32452/100

x = 324.52

So the monthly payment is $324.52

An alternative way to get this monthly payment is to apply 2.44% to 13300, which is another way to view the phrase "monthly payment per $100 is 2.44"

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

There are 48 months in 4 years (start with 12 mon = 1 yr, then multiply both sides by 4) so we multiply 48 by the monthly payment to get the result 48*324.52 = 15,576.96. This is the total amount you have to pay back which is the principal plus interest.

Subtract off the principal (amount borrowed) to find the interest or finance charge: 15,576.96 - 13,300 = 2,276.96

Answer: Choice B

5 0

3 years ago

What ordered pair describes the location of p

Hitman42 [59]

We conclude that the coordinates that describe the location of point P' are (4, -2).

<h3>What ordered pair describes the location of P'?</h3>

For a random point with coordinates (x, y), a reflection over the x-axis only changes the sign of the y-component. So the coordinates after the reflection are (x, -y).

In this case, the coordinates of point P are (4, 2), so if we apply a reflection over the x-axis to get the point P', the coordinates are:

(4, -2)

Where we just changed the sign of the y-component.

We conclude that the coordinates that describe the location of point P' are (4, -2).

If you want to learn more about rotations.

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4 0

2 years ago

A particular brand of dishwasher soap is sold in three sizes: 25 oz, 45 oz, and 60 oz. Twenty percent of all purchasers select a

Verdich [7]

Answer:

(a) <u>Sampling distribution </u>

P(25) = 0,04

P(35) = 0.1 + 0.1 = 0,2

P(42,5) = 0.06 + 0.06 = 0,12

P(45) = 0,25

P(52,5) = 0.15 + 0.15 = 0,3

P(60) = 0,09

(b) E(X) = 45.5 oz

Step-by-step explanation:

The variable we want to compute is

$X=(X1+X2)/2$

For this we need to know all the possible combinations of X1 and X2 and the probability associated with them.

(a) <u>Sampling distribution </u>

Calculating all the 9 combinations (3 repeated, so we end up with 6 unique combinations):

P(25) = P(X1=25) * P(X2=25) = p25*p25 = 0.2 * 0.2 = 0,04

P(35) = p25*p45+p45*p25 = 0.2*0.5 + 0.5*0.2 = 0.1 + 0.1 = 0,2

P(42,5) = p25*p60 + p60*p25 = 0.2*0.3 + 0.3*0.2 = 0.06 + 0.06 = 0,12

P(45) = p45*p45 = 0.5 * 0.5 = 0,25

P(52,5) = p45*p60 + p60*p45 = 0.5*0.3 + 0.3*0.5 = 0.15 + 0.15 = 0,3

P(60) = p60*p60 = 0.3*0.3 = 0,09

(b) Using the sample distribution, E(X) can be expressed as:

$E(X)=\sum_{i=1}^{6}P_{i}*X_{i}\\E(X)=0.04*25+0.2*35+0.12*42.5+0.3*52.5+0.09*60 = 45.5$

The value of E(X) is 45.5 oz.

$\mu=\sum_{i=1}^{3}P_{i}*X_{i}\\\mu=0.2*25+0.5*45+0.3*60=45.5$

We can conclude that E(X)=μ

We could have arrived to this conclusion by applying

$E(X)=E((X1+X2)/2)=E(X1)/2+E(X2)/2\\\\\mu = E(X1)=E(X2)\\\\E(X)=\mu /2+ \mu /2 = \mu$

4 0

4 years ago

If 70% of a number is 42 and 15% of the same number is 9, find 85% of that number.

BigorU [14]

Answer: 51

Step-by-step explanation:

let x be the number.

(70%)x = 42

0.7 x = 42

x = 60

we check 15% x 60 = 0.15 x 60 = 9, which is true.

85% of that number = 85% x 60 = 0.85 x 60 = 51.

6 0

3 years ago

Read 2 more answers

A certain species of birds migrates 24,000 miles in 90 days. A person can speed walk 40 kilometers in 100 minutes. Who moves fas

Lynna [10]

Answer:

The person has a higher average speed, so the person moves faster than the bird.

Step-by-step explanation:

We have to work with the measures in the same units, i am going to use distance in kilometers and time in minutes.

A certain species of birds migrates 24,000 miles in 90 days.

24000 miles = 24000*1.61 = 38640 kilometers.

90 days = 90*24*60 minutes = 129 600 minutes.

Average speed is distance divided by time, so

38640/129600 = 0.298 kilometers per minute.

A person can speed walk 40 kilometers in 100 minutes.

40/100 = 0.4 kilometers per minute

0.4 > 0.298, so the person moves faster.

3 0

3 years ago