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12345 [234]
3 years ago
11

Bill is a financial manager. He writes the equation A=2500(1.36)t to find out how much it will cost his company for a one-year l

oan of $2500 if the 36% APR is compounded only once. Which answer shows how the equation can be rewritten to find the interest rate that would cost Bill's company the same amount if it were compounded quarterly?
Mathematics
1 answer:
Viefleur [7K]3 years ago
4 0

Answer:

Step-by-step explanation:

First, to get the rate, we divide 36% by 100 to get point 36. Since the formula is A =P(1+Interest rate/ How many units its being compounded)^ Time x How many times its being compounded. It would make the equation 2500(1+.36/4)^Compounded once which is 1 x 4 = A.

Hope this helps.

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Put the following equation in standard form and determine the quadratic, linear, and constant coefficients. -3x2 - 8 = 5x - 7
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  • -3x² -5x -1 = 0
  • -3 (quadratic)
  • -5 (linear)
  • -1 (constant)

Step-by-step explanation:

The equation will be in standard form when terms are listed in order of decreasing degree, and the right side of the equation is 0.

<h3>Standard form</h3>

We can subtract the right-side expression from both sides to get standard form.

  -3x² -8 -(5x -7) = 5x -7 -(5x -7)

  -3x² -8 -5x +7 = 0 . . . . . . . simplify a bit

  -3x² -5x -1 = 0 . . . . . . . . . collect terms

The standard form equation can be written ...

  -3x² -5x -1 = 0

<h3>Coefficients</h3>

The quadratic coefficient is the coefficient of the term with degree 2. The quadratic coefficient is -3.

The linear coefficient is the coefficient of the term with degree 1. The linear coefficient is -5.

The constant coefficient is the coefficient of the term with no variables. The constant is -1.

__

<em>Additional comment</em>

We can make the leading coefficient positive by multiplying the equation by -1. This gives ...

  3x² +5x +1 = 0

with quadratic, linear, and constant coefficients 3, 5, 1.

This is a legitimate answer to this question. In the case of linear equations, the "standard form" has the constant on the right side of the equal sign, and the leading coefficient is required to be positive. A negative leading coefficient can sometimes lead to errors (when the sign is overlooked), so having a positive leading coefficient is often preferred.

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