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JulsSmile [24]
3 years ago
12

If you take out a loan for $4,000 and you will owe $4,920 after 2 years, what is the rate of simple interest? Express your answe

r as a percentage rounded to the nearest tenth of a percent if necessary, but do not include the percent sign.
Mathematics
1 answer:
11111nata11111 [884]3 years ago
5 0

Answer:

11.5

Step-by-step explanation:

Simple interest formula:

I=P\cdot r\cdot t,

where

I = interest

P = principal

r = rate

t = time

In your case,

P = $4,000

I = $4,920 - $4,000 = $920

t = 2 years

So,

920=4,000\cdot r\cdot 2\\ \\r=\dfrac{920}{2\cdot 4,000}=0.115

The rate as decimal is 0.115 that is 11.5% as percent

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Write the equation of the line in slope-intercept form. Explain how you found the slope and the y-intercept.
mafiozo [28]

The equation of the line in slope intercept form is y = - 1 / 2x + 4

<h3>How to write equation in slope intercept form?</h3>

The equation in slope intercept form is represented as follows:

y = mx + b

where

  • m = slope
  • b = y-intercept

Therefore,

using the points (2, 3)(0, 4)

m = 4 - 3 / 0 - 2 = 1 / -2 = - 1 / 2

Hence,

b = 4

Therefore, the slope intercept equation of the line is as follows:

y = - 1 / 2x + 4

The y-intercept is value of y when x = 0

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2 years ago
A survey finds that 40% of students ride in a car to school. Eri would like to estimate the probability that if 3 students were
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The answer is 0.60 I know cause I took the test
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Find the equation of the line. <br><br> Use exact numbers. <br><br> Y=___x+ ___<br><br> Please helo
jeka57 [31]

Y=3/4x-2 would be your equation :)

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4 0
3 years ago
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Cory, Josh and Dan went shopping for Halloween treats. Cory bought 3 chocolate pumpkins, 4 masks and 8 candy witches. He spent $
bija089 [108]

Answer:

The cost of chocolate pumpkins is $1.89, masks cost $5.75 and candy witches cost $1.62

Step-by-step explanation:

Let x represent the cost of chocolate pumpkins, y the cost of masks and z the cost of candy witches.

Cory shopping can be represented as:

3x + 4y + 8z = 41.63      (1)

Josh shopping can be represented as:

6x + 2y + 14z = 45.52    (2)

Dan shopping can be represented as:

8x + 3y + 25z = 72.87    (3)

The equations in matrix form is:

\left[\begin{array}{ccc}3&4&8\\6&2&14\\8&3&25\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}41.63\\45.52\\72.87\end{array}\right] \\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}3&4&8\\6&2&14\\8&3&25\end{array}\right] ^{-1}\left[\begin{array}{c}41.63\\45.52\\72.87\end{array}\right] \\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}1.89\\5.75\\1.62\end{array}\right]

The cost of chocolate pumpkins is $1.89, masks cost $5.75 and candy witches cost $1.62

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2 years ago
Equivalent expression of 8x+12-x
Irina-Kira [14]

Step-by-step explanation:

The equivalent expression of 8x + 12 - x = 7x + 12

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