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faust18 [17]
3 years ago
8

What is the x-value in the solution to this system of linear equations?

Mathematics
1 answer:
ASHA 777 [7]3 years ago
8 0

Answer:

  4

Step-by-step explanation:

The y-variable can be eliminated by adding 3 times the first equation to the second:

  3(2x -y) +(x +3y) = 3(11) +(-5)

  7x = 28 . . . .  simplify

  x = 4 . . . . . . . divide by 7

_____

Using Cramer's Rule, you can also find the x-value. The math is not so different.

  x = ((-1)(-5) -(3)(11))/(-1(1) -3(2)) = -28/-7 = 4

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Answer:

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Step-by-step explanation:

Stan works for 28 hours and gets paid $12 for each hour, so the amount of money he gets in total is $12*28 = $336.

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What's the number of people left to play at 10 of <br> 15 have played
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Read 2 more answers
A person invest $10,000 into a bank the bank pays 4.75% interest compounded semi annually. To the nearest 10th of a year, how lo
Mama L [17]

Answer:

T is 13.9 years to the nearest 10th of a year

Step-by-step explanation:

In this question, we are to calculate the number of years at which someone who invests a particular amount will have a particular amount based on compound interest.

To calculate the number of years, what we do is to use the compound interest formula.

Mathematically,

A = P(1+ r/n) ^nt

Where A is the final amount after compounding all interests which is $19,200 according to the question

P is the initial amount invested which is $10,000 according to the question

r is the rate which is 4.75% according to the question = 4.75/100 = 0.0475

n is the number of times per year in which interest is compounded. This is 2 as interest is compounded semi-annually

t= ?

we plug these values;

19200 = 10,000(1+0.0475/2)^2t

divide through by 10,000

1.92 = (1+0.02375)^2t

1.92 = (1.02375)^2t

We find the log of both sides

log 1.92 = log [(1.02375)^2t)

log 1.92 = 2tlog 1.02375

2t = log 1.92/log 1.02375

2t = 27.79

t = 27.79/2

t = 13.89 years

The question asks to give answer to the nearest tenth of a year and thus t = 13.9 years

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3 years ago
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Answer:

it would be 17

Step-by-step explanation:

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