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stich3 [128]
3 years ago
9

X-5y=33 5x-6y=70 solve the system by the addition method

Mathematics
1 answer:
BARSIC [14]3 years ago
7 0

For this case we have the following system of equations:

x-5y = 33\\5x-6y = 70

We multiply the first equation by -5:

-5x + 25y = -165

Thus, we have the equivalent system:

-5x + 25y = -165\\5x-6y = 70

We add the equations:

-5x + 5x + 25y-6y = -165 + 70\\19y = -95\\y = - \frac {95} {19}\\y = -5

We find the value of the variable "x":

x-5 (-5) = 33\\x + 25 = 33\\x = 33-25\\x = 8

Thus, the solution of the system is:

(x, y) :( 8, -5)

Answer:

(x, y) :( 8, -5)

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X = 2/5

Step-by-step explanation:

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You deposit $400 each month into an account earning 8% interest compounded monthly. Round to the nearest cent as needed. a) How
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If I deposit $400 each month into an account earning 8% interest compounded monthly, I will have $6,517 in my account in 35 years. The total money that I will put into the account is $168,000. I will earn a total compound interest of $6,117.

  • Calculating the Sum of Money in 35 years

Given information is as follows,

Principal, P = $400

Rate = 8%

Time, T = 35 years

n = 12 (Compounded monthly)

The amount for compound interest is given as,

A = P\frac{(1+\frac{R}{n} )^{nT} -1}{R/n}

A = 400\frac{(1+\frac{0.08}{12} )^{12.35} -1}{0.08/12}

A = 6,517.02

A = $6,517 (to the nearest cents)

  • Calculating the Amount Put in Account

Since, $400 is deposited every month for 35 years,

Amount Put in 35 years for this compound interest =$400 × 12 × 35

= $168,000

  • Calculating the Compound Interest

A = P + CI

Thus, the compound interest is given by,

CI = A - P

CI = 6517 - 400

CI = $6,117

I will earn a total interest of $6,117

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7 0
1 year ago
Select the two statements that are true about the equation −10=60(−40). A. The line has a slope of 10. B. The line has a slope o
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Complete question :

Select the two statements that are true about the equation y−10=60(x−40)

Answer:

m = 60

One point on the line is (40, 10)

Step-by-step explanation:

Given the equation :

y−10=60(x−40)

Comparing the equation with the point slope equation formula :

y - y1 = m(x - x1)

Where, x1 and y1 are points on the line

m = Slope

From here, we can deduce that:

y1 = 10 ; x1 = 40 and m = 60

(x1, y1) = (40, 10)

m = slope = 40

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3 years ago
For his senior project, Richard is researching how much money a college graduate can expect to earn based on their major. He fin
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Answer:

The standard deviation for incomes of civil engineers from the University of Montana is abnormally low.

and

The interquartile range and the standard deviation for incomes of civil engineers from the University of Montana are equal.

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What is 2% as a fraction in simplest form
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All fractions start out of 100. 
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1/50

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