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Dovator [93]
3 years ago
5

Solve -2x+y=-1 , -4x+2y=1

Mathematics
1 answer:
Readme [11.4K]3 years ago
4 0

Answer:

There are no solutions to this system of equations.

Step-by-step explanation:

To find this, solve by elimination. Start by multiplying the first equation by -2 and then add them together.

4x - 2y = 2

-4x + 2y = 1

-----------------

0 = 3

Since this is a false statement, we know that there is no solution to this system of equations.

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A triangle that has an angle that measures 90 degrees would be a Right Triangle.

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170°

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How do I solve 12 + 2x + 1 = 59
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Step-by-step explanation:

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3 years ago
A person invest $1200 in an account that earns 2% interest compound quarterly. Find when the value of the investment reaches $15
Basile [38]

Answer:

After 11 years the value of the investment reaches $1500.00

.

Step-by-step explanation:

The formula used for finding time (when the value reaches certain amount) is:

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

where A= Future VAlue

P= Principal Value

r= rate of interest (in decimal)

n= no of times investment is compounded

t= time

Putting the values given and finding Time t,

A= $1500

P= $1200

r= 2% or 0.02

n= 4 (compound quarterly)

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

1500= 1200(1+\frac{0.02}{4})^{4t}

Dividing both sides by 1200 and solving 0.02/4 = 0.005

1.25= (1+0.005)^{4t}

1.25= (1.005)^{4t}

Since t is in power we take the logarithm ln on both sides.

The rule of logarithm says that the exponent can be multiplied with the base when taking log

\ln1.25=ln( 1.005)^{4t}\\\ln1.25=4t * ln( 1.005)\\0.22 = 4t * 0.005\\Solving\,\,\\\frac{0.22}{4*0.005} = t\\=> t= 11\, years

8 0
4 years ago
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