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Mathematics

1 answer:

Brums [2.3K]3 years ago

6 0

Answer:

Step-by-step explanation:

D is the best Answer.

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You invest a total of $5800 in two investments earning 3.5% and 5.5% simple interest. Your goal is to have a total annual intere

attashe74 [19]

The annual interest that can be earned through investment of an amount at a simple interest can be calculated through the equation,
I = P x (i)
where I is interest, P is the principal amount, and i is the decimal equivalent of the interest.

Let x be the amount deposited with 3.5% interest. With this representation, the amount deposited with 5.5% is 5800 - x.

The linear equation that would represent the given scenario is,
x(0.035) + (5800 - x)(0.055) = 283

Simplifying the equation,

0.035x + 319 - 0.055x = 283

Combining like terms,
-0.02x = -36
Dividing by -0.02,
x = 1800
$5800 - x = $5800 - $1800 = y
y = $4000

Hence, the value that should be deposited to the 5.5% is $40000.

4 0

3 years ago

The lines represented by the equations y = -X – 3 and

xz_007 [3.2K]

The equations y = -x -3 and 5y + 5x = -15 represents the same line option 'the same line' is correct.

<h3>What is linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have two equation of the line:

y = -x -3 and

5y + 5x = -15

From the equation 5y + 5x = -15: