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2 years ago

13

Joel borrowed $1,512. He was to pay that amount back along with an additional 9% interest. He could only pay back 82% of what he

should have. How much did Joel pay back on his loan?

1 answer:

vodka [1.7K]2 years ago

6 0

Answer:

$1351.43

Step-by-step explanation:

<u>The amount to pay:</u>

$1512 + 9% =
$1512*1.09 =
$1648.08

<u>The amount paid back:</u>

82% of $1648.08 =
0.82*1648.08 =
$1351.43

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Marcus drew a quadrilateral with only 1 pair of parallel sides. Which quadrilateral did Marcus draw? parallelogram rhombus trape

SpyIntel [72]

Answer:

Trapezoid

Step-by-step explanation:

We have been given that Marcus drew a quadrilateral with only 1 pair of parallel sides. We are asked to determine the quadrilateral that Marcus drew.

We know that a parallelogram has two pair of parallel sides.

We also know that rhombus is a parallelogram whose 4 sides are equal is measure and rectangle is a parallelogram with opposite sides equal.

Since parallelogram, rhombus and rectangle has two pair of parallel sides, therefore, Marcus didn't draw any of these.

We know that trapezoid has only one pair of parallel sides, therefore, Marcus drew a trapezoid.

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3 years ago

Can someone help me with my homework I really don’t get it:(

stepladder [879]

Answer: 60 hours

(I'll help you with the first one only because you need to learn this)

Step-by-step explanation: 36 divided by 3 is 12 and 720 divided by 12 is 60

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2 years ago

There are 3 islands A,B,C. Island B is east of island A, 8 miles away. Island C is northeast of A, 5 miles away and northwest of

Nostrana [21]

Answer:

The bearing needed to navigate from island B to island C is approximately 38.213º.

Step-by-step explanation:

The geometrical diagram representing the statement is introduced below as attachment, and from Trigonometry we determine that bearing needed to navigate from island B to C by the Cosine Law:

$AC^{2} = AB^{2}+BC^{2}-2\cdot AB\cdot BC\cdot \cos \theta$ (1)

Where:

$AC$ - The distance from A to C, measured in miles.

$AB$ - The distance from A to B, measured in miles.

$BC$ - The distance from B to C, measured in miles.

$\theta$ - Bearing from island B to island C, measured in sexagesimal degrees.

Then, we clear the bearing angle within the equation:

$AC^{2}-AB^{2}-BC^{2}=-2\cdot AB\cdot BC\cdot \cos \theta$

$\cos \theta = \frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC}$

$\theta = \cos^{-1}\left(\frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC} \right)$ (2)

If we know that $BC = 7\,mi$ , $AB = 8\,mi$ , $AC = 5\,mi$ , then the bearing from island B to island C:

$\theta = \cos^{-1}\left[\frac{(7\mi)^{2}+(8\,mi)^{2}-(5\,mi)^{2}}{2\cdot (8\,mi)\cdot (7\,mi)} \right]$

$\theta \approx 38.213^{\circ}$

The bearing needed to navigate from island B to island C is approximately 38.213º.

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3 years ago

Give the solution set for the inequality<br> 7x < 7(x - 2) in interval notation.

eduard

<u>ANSWER:</u>

The solution set for the inequality 7x < 7(x - 2) is null set $\varnothing$

<u>SOLUTION:</u>

Given, inequality expression is 7x < 7 × (x – 2)

We have to give the solution set for above inequality expression in the interval notation form.

Now, let us solve the inequality expression for x.

Then, 7x < 7 × (x – 2)

7x < 7 × x – 2 × 7

7x < 7x – 14

7x – (7x – 14) < 0

7x – 7x + 14 < 0

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14 < 0

Which is false, so there exists no solution for x which can satisfy the given equation.

So, the interval solution for given inequality will be null set

Hence, the solution set is $\varnothing$

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3 years ago

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yuradex [85]

9 - 2(7 - 8)
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3 years ago

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