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3 years ago

2. Mrs. Frederick is paid semimonthly.

Mathematics

1 answer:

Julli [10]3 years ago

5 0

The annual salary of Mrs. Fredrick is $ 39397.2

Solution:

Given, Mrs. Frederick is paid semimonthly.

Her semi-monthly salary is $1.641.55.

Now, let us find her monthly salary first.

monthly salary = 2 x semi – monthly salary

So, monthly salary = 2 x 1,641.55 = $ 3283.1

Since there 12 months in a year, we obtain the annual salary as follows:

Now, the annual salary = 12 x monthly salary

Annual salary = 12 x 3283.1 = $ 39397.2

Hence, the annual salary of Mrs. Fredrick is $ 39397.2

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5. Sarahi found the distance between two points on a coordinate plane to be √74. Can this answer be simplified? Explain.

swat32

Answer:

The answer can't be simplified.

Step-by-step explanation:

In order to answer the question, you have to calculate the prime factors of 74 to see if the expression can be simplified.

If at least one of the prime factors has an exponent bigger or equal than 2 (because the expression has a squareroot), then the expression can be simplified using the properties of exponential numbers and irrational numbers to extract the factor or the factors from the squareroot.

(For example the property $\sqrt[n]{x^{k+n} } =\sqrt[n]{(x^{k})(x^{n})}=x\sqrt[n]{x^{k} }$ )

Calculating the prime factors:

74/2 = 37 but 37 is a prime number so:

37/37 =1

74 = 2 x 37

Therefore, $\sqrt{74}$ can't be expressed as a simplier number.

8 0

3 years ago

A 2-liter bottle of juice costs $2.80. A box containing six 12-liter bottles sells for $3.90. Which option has a higher cost per

exis [7]

Step-by-step explanation:

It is given that,

A 2-liter bottle of juice costs $2.80.

It means that 1 liter bottle of juice costs $1.4.

A box containing six 12-liter bottles sells for $3.90.

(6×12)l i.e. 72 liter bottles sells for $3.9

1 liter bottles sells for $0.05416

It is clear that "A box containing six 12-liter bottles sells for $3.90." have higher cost per liter. Its cost is $0.05416 per liter. Hence, the correct option is (D).

7 0

3 years ago

An angle whose measure is –302° is in standard position. In which quadrant does the terminal side of the angle fall?

juin [17]

Answer: Quadrant 1 (northeast quadrant)

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Explanation:

Add on 360 degrees to do a full rotation

-302+360 = 58

So angles -302 degrees and 58 degrees are pointing in the same direction. These angles are in quadrant 1, which is the northeast quadrant

Note: because the angles -302 and 58 point in the same direction, we consider these angles to be coterminal.

3 0

3 years ago

The value of your father’s car when bought was $30,000. If it loses 10% of its value every year, how long until the vehicle is o

Anvisha [2.4K]

Answer:

6.7

Step-by-step explanation:

10% of 30000

10/100 x 30000

0.10 x 30000

=3000

In order to find how long you have to divide 20k with 3k

20000/3000 = 6.66666667

Round it up and you get 6.7

6 0

3 years ago

Jonathan took 33 pictures on the class trip and 67

Semenov [28]

Answer:

JONATHAN WILL NEED 14 PAGES.

Explanation:

33 + 67 = 100

100 - 12 = 88

88 ÷ 6 = 14.6666667

14.6666667 ⇒ 14

(Round 14.6666667 down to 14 because Johnathan does not have .6666667 of a page.)

3 0

3 years ago