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tigry1 [53]
3 years ago
15

Jake deposits $220 in an account every year on his birthday. The account earns 3.2% simple interest and the interest is sent to

him at the end of each year. He makes no other deposits or withdrawals. Complete the table.
Mathematics
1 answer:
Ganezh [65]3 years ago
5 0
At the end of the 2nd yr his balance is $440, = I = $14.08
At the end if the 3rd yr his balance is $600, = I = $21.12
$200 is deposited at the beginning of each year
End if the 1st yr SI = PRT/100 = 220 X 3.2 X 1/100 = $7.04
Start of the 2nd yr $220 + $220 = $440
End of the 2nd yr: SI = PRT/100 = 440 X 3.2 X 1/100 = $14.08
Start of the 3rd yr $440 + $220 = $660
End of the 3rd yr: SI = PRT/100 = 660X 3.2 X 1/100 = $21.12
At the end of th2 2nd yr his balance is 440, = I = $14.08
At the end if the 3rd yr his balance is $600, = I = $21.12
HE now has $660 in his account and has earned a total of 42.24 interest over the 3 years.
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A triangle is dilated by a scale factor of 1/5 and then rotated 90 degree clockwise about the origin. Why is the image similar t
yan [13]
<u><em>Answers:</em></u>
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle

<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
Read 2 more answers
Jason compares the price of oranges at 4 stores,
prisoha [69]

Answer/Step-by-step explanation:

To Find the best price divided each

Kroger → 1.52/4=0.38

Publix → 175/5=35

Ingles → 1.02/3=0.34

Walmart → 2.46/6=0.41

Base on the data we can tell that Ingles have the best price.

7 0
2 years ago
-1. The table shows the annual consumption of cheese per person in the United States for selected years in the 20th century. Let
olga nikolaevna [1]
<span>Using processing software (Excel) or even a decent scientific calculator. You input the values and generate the best fit cubic equation.
For number 1, the equation is
y = 8x10</span>⁻⁵ x³ - 0.0097 x² + 0.374 x + 1.083
where x is the number of years since 1900
y is the pounds cheese consumed

For number 2, the equation is
y = -3x10⁻⁵ x³ + 0.0028 x² + 0.2155 x + 1.7736

For number 3
P(-1) = 18
5 0
3 years ago
On a coordinate plane, lockers is 5 units to the left and 3.5 units up. Water fountain is 2.5 units to the left and 3 units up.
VLD [36.1K]

Answer:

it's d water fountain

Step-by-step explanation:

hope this helps edge 2021 Jan 08

7 0
3 years ago
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A prize bag contains four country music CDs, eight pop music CDs, and five classic rock CDs. What is the probability of pulling
Reptile [31]

Answer:

for rock it is 0.29 and for country it is. 25

Step-by-step explanation:

5/ 17=.29

4/16=.25

5 0
3 years ago
Read 2 more answers
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