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Neko [114]
4 years ago
6

Your teacher is giving a test with a total of 30 questions and is worth 200 points. Each question is worth either 5 points or 10

points questions. Write a linear system to model this situation. How many five-point questions on the test? How many ten-point questions are on the test?
Mathematics
1 answer:
kykrilka [37]4 years ago
3 0

you would have 10 5 point questions and 15 10-point questions

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Angelina deposits $3000 in a savings account on 1 January 2019, earning compound interest of 1.5% per year.
jekas [21]

The interest earned would be $481.62.

The total amount of money in her account would be $16,377.12.

<h3>Determining interest after 10 years </h3>

Interest = future value - amount deposited

$3000 (1.015)^10 = $3,481.62

Interest =  $3,481.62 - $3000 = $481.62

<h3>Determining the future value of the account.</h3>

 Future value of the lump sum = $3000 x (1.015)^11 = $3,533.85

Future value of the annuity = amount deposited x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r = [(1.015)^10 - 1] / 0.015 = 10.702722

Future value =  10.702722 x $1,200 = $12,843.27

Total future value =  $12,843.27 + $3,533.85 = $16,377.12

To learn more about future value, please check: brainly.com/question/18760477

4 0
2 years ago
Graph the following Line:<br> 6x+3y=6
yulyashka [42]

Answer:

Visit geogebra.com

Step-by-step explanation:

none needed <3

8 0
3 years ago
Read 2 more answers
I need to use the Pythagorean Theorem to find X. I don’t know how to do that!!
frutty [35]

Answer:

17) x=8

18) x=\sqrt{189} or x= 3\sqrt{21}

Step-by-step explanation:

So the rule is a^{2} +b^{2} =c^{2}, "c" being the hypothenuse, or the long line that is opposite to the right angle.

17) We know that both values of x are equal to each other, which makes everything 10x easier!

                                               x^{2} +x^{2} =(8\sqrt{2})  ^{2}

(by the way we know the x values are our a and b values because they are legs! the way I like to remember the legs is that they are connected to the right angle box, and therefore support the hypothenuse)

<em>simplify</em> (╥︣﹏╥)    

                                                2x^2=8^2(\sqrt{2} )^{2}  

                                                  2x^2=64(2)

                                                   2x^2=128    

                                                  x^{2}= 128/2  

                                                     x^{2} =64

                                                        x=8      

18) Just pretend that the flipped triangle doesn't exist. It's parallel to the other triangle with values on it, and basically servers no purpose other than being parallel to the sister triangle :)

Anyways, since we know the hypothenuse (15) but we don't know one of our leg values (x), we're going to change our equation a bit!

                                                    c^{2} - b^{2} = a^{2}

It doesn't matter if you put the one leg value in a or b, just as long as you stick to that same equation you started with the entire time!

                                                   15^{2} -6^{2} =x^{2}

                                                   225-36=x^{2}  

                                                     x^{2} =189

                                               x=\sqrt{189}=3\sqrt{21}

        The more you do these, the easier they'll get, so don't worry!

                           

4 0
3 years ago
When Ms. Lawrence goes to the doctor’s office, they have patients wait 30 minutes. She found a new doctor that has 15% less wait
baherus [9]

Answer:

25.5 minutes

Step-by-step explanation:

3 0
3 years ago
Mix coffee machine has been so self or $.72 a pound and beans that sell for $.52 if 110 pounds of beans create and make sure wor
LiRa [457]
$57.2 dollars for 110 pounds of beans 
3 0
4 years ago
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