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Svet_ta [14]
2 years ago
7

A bank loaned out $19,500, part of it at the rate of 11% annual interest, and the rest at 7% annual interest. The total interest

earned for both loans was $1,485.00. How much was loaned at each rate?
____ was loaned at 11% and
____was loaned at 7%.
Mathematics
1 answer:
Morgarella [4.7K]2 years ago
7 0

The amount loaned at the interest rate of 11% is $3000.

The amount loaned at the interest rate of 7% is $16,500

<h3>What are the linear equations that represent the question?
a + b = 19500 equation 1</h3>

0.11a + 0.07b = 1485 equation 2

Where:

a = amount loaned at the interest rate of 11%

b = = amount loaned at the interest rate of 7%

<h3>How much was loaned at 11% and 7%</h3>

In order to determine how much was loaned at 7%, take the following steps:

Multiply equation 1 by 0.11:

.11a + 0.11b = 2145 equation 3

Subtract equation 2 from equation 3:

0.04b = 660

Divide both sides by 0.04:

b = 16,500

Subtract 16,500 from 19,500 :

19,500 - 16,500 = $3000

To learn more about interest, please check: brainly.com/question/26164549

#SPJ1

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Answer:

A = -12, B = 9 and C = .2

Step-by-step explanation:

So it just looks like we need to use algebra to move everything around to get it in the form Ax + By = C

So, let's start with 9y = 12x + 0.2.  From standard form we have all terms wth variables on one side, so let's do that.  the right sie has both a variable term and non variable term, so let's get rid of the variable term.  The variable term is 12x, so to get rid of it you subtract 12x from both sides.

9y = 12x + 0.2

9y - 12x = 0.2

To make it exactly in standard form just rarrnge.

-12x + 9y = 0.2

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3 years ago
Two number cubes are rolled. Each number cube has sides numbered 1 through 6.
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P(odd) or P(multiple of 5)
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Answer:

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x =  \frac{1}{4(f - h)} (y - k) ^{2}  + h

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Thus, f = 1, k = −4.

The distance from the focus to the vertex is equal to the distance from the vertex to the directrix: f - h = h - 2.

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The general form is:

2x +  {y}^{2}  + 8y + 13 = 0

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x =  -  \frac{(y + 4) ^{2} }{2}  +  \frac{3}{2}

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The focal length is the distance between the focus and the vertex: 1/2.

The focal parameter is the distance between the focus and the directrix: 1.

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The length of the latus rectum is four times the distance between the vertex and the focus: 2.

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The x-intercepts can be found by setting y = 0 in the equation and solving for x.

x-intercept:

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The y-intercepts can be found by setting x = 0 in the equation and solving for y.

y-intercepts:

(0, - 4 -  \sqrt{3)}

(0, - 4 +  \sqrt{3)}

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