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kobusy [5.1K]
3 years ago
5

Consider this system of equations:

Mathematics
1 answer:
Pie3 years ago
8 0
To find the value of x, we have to eliminate y by making y the subject of formula in any of the equations.
Multiply equation A by 5/3 t.o get,
5/3(2/3x) + 5/3(3/5y) = 5/3(12)
10/9x + y = 20
y = 20 - 10/9x
substituting for y into equation b, we have:
5/2(20 - 10/9x) - 3x = 6
50 - 25/9x - 3x = 6
52/9x = 44
52x = 396
The expression that gives the value of x is: 52x = 396
Hence, x = 396/52 = 99/13
y = 20 - 10/9(99/13) = 20 - 110/13 = 150/13
The solution for the system of equations is: (99/13, 150/13)

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olchik [2.2K]
You can find the value of x using the trigonometric function of cosine.

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8 0
4 years ago
For her 1st birthday, Ruth's grandparents invested $1000 in an 18-year certificate for her that pays 10% compounded annually. Ho
Lyrx [107]

Answer:

The certificate will be worth $5,559.92 on Ruth's 19th birthday.

Step-by-step explanation:

The compound interest formula is given by:

A = P(1 + \frac{r}{n})^{nt}

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

In this problem, we have that:

P = 1000, n = 1, r = 0.1, t = 18

So

A = 1000(1 + \frac{0.1}{1})^{1*18}

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7 0
3 years ago
#11-16 please 15 points
Serjik [45]
11. Similar 1/2
12. Similar 2
13. no
14. no
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16. Yes
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3 years ago
Which of the following correctly simplifies the expression 3 to the power of 2 multiplied by 5 to the power of 0 whole over 4, t
EastWind [94]

Answer: 21

Step-by-step explanation:

9  + 10 = 21

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4 years ago
A recipe calls for 1 cup of milk for every 4 cups of flour. Write the linear equation that describes this relationship.
yan [13]
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