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Sloan [31]
3 years ago
9

System of equations Elimination please help i am stuck!!

Mathematics
1 answer:
Anika [276]3 years ago
7 0
-5x = - 7 because -6x plus x is -5x and use elimination to get rid of the -3y so you end up with -5x = -7
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NEED HELP I WILL MARK BRAINLIST AND DO NOT SPAM
gavmur [86]

Answer: it will take 14 years

Step-by-step explanation:

A savings account is started with an initial deposit of $600. This means that the principal P is

P = 600

It was compounded annually. This means that it was compounded once in a year. Therefore,

n = 1

The rate at which the principal was compounded is 2.1%. So

r = 2.1/100 = 0.021

The duration of time that for which the money stayed in the account is t years. So

Time = t

The formula for compound interest is expressed as

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

Where

A = total amount in the account at the end of t years. Therefore,

a) the equation to represent the amount of money in the account as a function of time in years would be

A = 600 (1+0.021/1)^1×t

A = 600 (1.021)^t

b) the amount of time it takes for the account balance to reach $800 would be

800 = 600 (1.021)^t

Dividing both sides of the equation by 600, it becomes

1.33 = (1.021)^t

t = 14

7 0
3 years ago
You start driving north for 12 miles, turn right, and drive east for another 16 miles. At
Oxana [17]

Answer:

A^2+B^2=C^2

Step-by-step explanation:

12=a

16=b

this is the pythagoreon theorem

4 0
3 years ago
If y varies inversely as the square of x, and y = 1/8 when x = 1, find y when x = 5.
Kisachek [45]
Y = k / x² ( y varies inversely as the square of x ) 
y = 1/8 when x = 1:
1/8 = k / 1²
8 k = 1
k = 1/8
For x = 5:
y = 1/8  / 5² = 1/8 : 25 = 1/8 · 1/25 = 1/200
Answer: A ) 1/200


6 0
3 years ago
Does anyone know the answer to this one?
polet [3.4K]

Answer:

\large\boxed{a(x+4)(x-5)=0,\ a\in\mathbb{R}-\{0\}}\\\\\text{for}\ a=1\to\boxed{x^2-x-20=0}

Step-by-step explanation:

\text{If}\ x_1\ \text{and}\ x_2\ \text{are the roots of the quadratic equation}\ ax^2+bx+c=0,\\\text{then}\ ax^2+bx+c=a(x-x_1)(x-x_2).\\\\\text{If}\ x_1\ \text{and}\ x_2\ \text{, then they are the roots of the quadratic equation.}\\\\\text{We have}\ x_1=-4\ \text{and}\ x_2=5.\ \text{Therefore we have the equation:}\\\\a(x-(-4))(x-5)=0\\\\a(x+4)(x-5)=0\qquad\text{for any value of}\ a\ \text{except 0}.

7 0
3 years ago
If a ball is thrown directly upward with a velocity of 50ft/s, it's height (in feet) after t seconds is given by y=50t-16t^2 wha
Tomtit [17]

Answer:

39.0625 ft

Step-by-step explanation:

Since the function is a quadratic representing height, and the coefficient of the t² is negative, the vertex of the parabola will be the maximum height achieved by the ball.  

The general form for a quadratic equation is ax² + bx + c, here a is -16, and b is 50

To find the x coordinate of the vertex, use   x = -b/(2a)

We have x = -50/[2(-16)]

               

                  x = -50/-32

             

                         x= 25/16

Now plug that into the equation to find the y value, which will be the height...

y = 50(25/16) - 16(25/16)²

    y = 1250/16 - 16(625/256)

        y = 1250/16 - 625/16

              y = 625/16

                   y = 39.0625

7 0
3 years ago
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