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zloy xaker [14]
3 years ago
9

Suppose that you have just been hired at an annual salary of $85,000 and expect to receive an annual raise of 6% per year. What

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
7 0

Answer:

$125,800

Step-by-step explanation:

Amount (A) = ?

Principal (P) = $85,000

Rate (r) = 6%

Time (t) = 8 years

Simple interest formula;

A = P(1 + rt)

A = $85,000(1 + 0.48)

A = $125,800

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Convert 0.16 to a fraction to show that it is a rational number.​
Pavlova-9 [17]

Answer:

4/25

Step-by-step explanation:

0.16

= 16/100

= 4/25

Since the answer is a fraction with integers in both denominator and numerator, this is a rational number

4 0
3 years ago
Read 2 more answers
Which puf the symbols correctly the two Numbers 45?45
Mila [183]
I assume you're saying what symbol would go in the middle. 45 is equal to 45. Therefore, you would write it as 45 = 45.

Done! :) Hope this helps
4 0
3 years ago
Which transformation, when performed on the triangle ABC, will result in the transformed figure A'B'C being similar but NOT cong
Gnoma [55]

Answer:

b. a dilation by a scale factor of 2

Step-by-step explanation:

Which transformation, when performed on the triangle ABC, will result in the transformed figure

A'B'C' being similar but NOT congruent to the original triangle?

a. a reflection over the x-axis

b. a dilation by a scale factor of 2

C.a translation two units to the right

d. a rotation 90° clockwise about the origin

Solution:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Rigid transformation are transformation that preserves the size and shape of a figure. Examples of rigid transformation are reflection, translation and rotation.

Dilation preserves the shape but not the size of a figure.

If translation, rotation or reflection is done on triangle ABC, the transformed figure would be congruent to the original triangle. But, if dilation is done, the transformed figure would be similar but NOT congruent to the original triangle.

8 0
2 years ago
Is 6.24 greater or less than .624
Anon25 [30]

Answer:

6.24 is greater than .624

Step-by-step explanation:

If you put them in a fraction, it would be 6 24/100 and 624/1000.

As you can see, 6.24 has a whole number while .624 doesn't therefore, 6.24 is greater than .624.

Hope this helps?

6 0
2 years ago
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A parallelogram has a 70 degree angle and sides 6 cm and 10 cm long. How long are its diagonals?
Verdich [7]
Let the shorter diagonal be x, then
x^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 70 = 36 + 100 - 120 cos 70 = 136 - 41.04 = 94.96
x = sqrt(94.96) = 9.7 cm

The other angle of the parallelogram is 1/2(360 - 2(70)) = 1/2(360 - 140) = 1/2(220) = 110
Let the longer diagonal be y, then
y^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 110 = 36 + 100 - 120 cos 110 = 136 + 41.04 = 177.04
y = sqrt(177.04) = 13.3 cm.

Therefore, the length of the diagonals are 9.7 cm and 13.3 cm.
6 0
3 years ago
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