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3 years ago

Solve the equation using elimination. Write your answer as an ordered pair.

Mathematics

1 answer:

IgorLugansk [536]3 years ago

6 0

Answer:

(-3, 1).

Step-by-step explanation:

2x + 7y = 1 -------------(A)

x + 5y = 2 Multiply this by -2:

-2x - 10y = -4 Add this equation to equation (A):

0 - 3y = -3

3y = 3

y = 1.

Substitute this in equation (A):

2x + 7(1) = 1

2x = -6

x = -3.

Check if these 2 values are correct in the second equation:

-3 + 5(1) = 2

2 = 2.

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2 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

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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

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

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3 years ago

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alina1380 [7]

Answer:

Step-by-step explanation:

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3 years ago

Taylor works at a clothing store. her weekly salary is $900 in addition to Her salary, she earns 28% of the amount of her sales

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

It is a simple division question

18 / (2/3)

Multiply by reciprocal

18 * 3 / 2 = 27

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3 years ago

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