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sdas [7]
2 years ago
10

Lien Chen took out a single-payment loan for $2300.00 at 6.25% ordinary interest to pay for her federal income tax bill. If the

loan’s maturity value is $2317.97, when would Lien have to pay back the loan if she took it out on April 1?
Mathematics
1 answer:
Assoli18 [71]2 years ago
4 0

Using simple interest, it is found that she would have to pay the loan back on May 17.

<h3>Simple Interest</h3>

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

A(t) = A(0)(1 + rt)

In which:

  • A(0) is the initial amount.
  • r is the interest rate, as a decimal.

In this problem, the parameters are:

A(t) = 2317.97, A(0) = 2300, r = 0.0625

Solving for t, we have that:

A(t) = A(0)(1 + rt)

2317.97 = 2300(1 + 0.0625t)

1 + 0.0625t = \frac{2317.97}{2300}

1 + 0.0625t + 1.00781304348

0.0625t = 0.00781304348

t = \frac{0.00781304348}{0.0625}

t = 0.125

Considering a year has 365 days:

0.125 x 365 = 46

46 days after April 1, hence she would have to pay it back on May 17.

More can be learned about simple interest at brainly.com/question/25296782

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yan [13]
<u><em>Answers:</em></u>
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
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<u><em>Explanation:</em></u>
<u>For shapes to be similar:</u>
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape

Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes

<u>Let's check the choices:</u>
<u>1- </u><span><u>The corresponding sides of the triangles are congruent:</u>
This option is incorrect as dilation changes the lengths of the sides

<u>2- </u></span><span><u>The corresponding angles of the triangles are congruent:</u>
This option is correct as neither dilation nor rotation alters the measures of the angles

<u>3- </u></span><span><u>The corresponding sides of the image are 5 times as long as those of the pre-image:</u>
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image

<u>4- </u></span><span><u>The image is a reduction of the pre-image:</u>
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced

<u>5- </u></span><span><u>Neither the dilation nor the rotation change the shape of the triangle:</u>
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)

<u>6- </u></span><u>The rotation reduces the size of the triangle:</u>
This option is incorrect as rotation does not alter the size of the shape. It only changes its position

Hope this helps :)

3 0
3 years ago
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6/10 rounding to the nearest half would be 1, not 0.

Reason for this: Here is a number line to help you!

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Left line = 0

Middle line = 1/2

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Here is another rule!

0/10, 1/10, 2/10, 3/10, 4/10 = rounded to the nearest half would be 0

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So 6/10 rounded to the nearest half is 1.

Hope this helped!

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