Last year Beth's annual salary was $38,350. This year she received a promotion and now earns $46,462 annually. She is paid biweekly.
a.) What was her biweekly salary last year?
b.) What is Beth’s biweekly salary this year?
c.) On a biweekly basis, how much more does Beth earn as a result of her promotion?

Answers

Answer 1

Answer:

Quite simple. There are 52 weeks in a year. She gets paid 26 times, every other week.

38,350 / 26 = her salary from last year per check.

46,462 / 26 = her new salary per check

(46,462 - 38,350) / 26 = the difference per week

Answer 2

a. last year Beth's biweekly salary was 1597.91 dollars.

b. This year Beth's biweekly salary is 1935.91 dollars.

c. On a biweekly basis she earns 338 dollars more now as a result of her promotion.

How to convert months into bi-weeks ?

One months contains 2 bi-weeks therefore to convert months into bi-weeks we have to multiply the given months by 2.

According to the given question

Last year Beth's annual salary was 38350 dollars.

∴ Her monthly salary was (38350/12) dollars.

= 3195.83 dollars.

She is being paid biweekly meaning twice a month in every two weeks interval.

∴ Her biweekly amount is

=(3195.83/2) dollars

= 1597.91 dollars. (a).

So, her salary last year was 1597.91 dollars biweekly.

This year she received a promotion and now earns 46462 dollars per year.

∴ Her biweekly salary is

= (46462/2×12) dollars.               ( as there is 2 bi-weeks in every months)

= 1935.91 dollars. (b).

As a result of her promotion she earns (1935.91 - 1597.91) dollars more as a result of her promotion.

= 338 dollars.

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Translate the phrase into a numerical expression. One hundred divided by the quantity three times five StartFraction 100 over (3) (5) EndFraction StartFraction (3) (5) over 100 EndFraction StartFraction (100) (3) over 5 EndFraction StartFraction (100) (5) over 3 EndFraction

Answers

Answer:

StartFraction 100 over (3) (5) EndFraction = 100/(3)(5)

Step-by-step explanation:

Translate the phrase into a numerical expression. One hundred divided by the quantity three times five

From the question above:

The quantity three times five = (3)(5)

Hence, the phrase: One hundred divided by the quantity three times five is expressed mathematically as:

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Answers

Answer:

13. r = 7.5cm

14. r = 3.25in

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Step-by-step explanation:

d/2 = r

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Answer:

Hey buddy, here is your answer. Hope it helps you .

Step-by-step explanation:

13. Radius= diameter/2

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= 3.25 in.

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Answers

Alan reads the most amount of pages

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Kevin = 7.68 pages per day

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Comparing all of these Alan reads the most.

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Answers

If the sum of 3 and z is equal to 10 then x equals 7.

Answer: x = 7

Step-by-step explanation:

3 + x = 10

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What is the image of (-6, 7) after a reflection over the x-axis?

Answers

Answer:

on reflection on x axis

P(x,y) = P' (x, -y)

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Step-by-step explanation:

3. Combine like terms:
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Answers

Answer:

-18c + 17

x = 32

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

The only way to compare these is to get them into the same format. Then, we will see which is larger. The way to convert a decimal to a percent is to move the decimal 2 places to the right.

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Answers

Answer:

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Step-by-step explanation:

1: Distribute

6(3x+4)-4(2x-6)-8x

18x + 24 - 4(2x-6)-8x

2: Distribute

18x + 24 - 4(2x-6)-8x

18x + 24 - 8x + 24 - 8x

3: Add the numbers

18x + 24 - 8x + 24 - 8x

18x + 48 - 8x - 8x

4: Combine like terms

18x + 48 - 8x - 8x

2x+48

Solution:

2x+48

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Step-by-step explanation:

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Answer

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Answer:

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Step-by-step explanation:

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The curve with equation y = x^2 + ax + 3 has a stationary point when x = 4. Find a.

Answers

Answer:

Step-by-step explanation:

y=x^2+ax+3

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28 qt = __ gal

Answers

Answer: 4 pt= 8c

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Answer:

4pt = 8 c

28 qt = 7 gal

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Answer:

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Step-by-step explanation:

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Answers

Answer:

$0.35

Step-by-step explanation:

3.50÷10=0.35

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The price of the original shirt is $45, it is reduced to $32.50. Calculate the percentage decrease. Show your workings.

Answers

Answer:

The percent decrease in the price of shirt is 27.78%

Step-by-step explanation:

The percent decrease is the decrease in the price of a product or good.

Given

Original Price = $45

Decreased price = $32.50

Percentage decrease is calculated by using the formula

[tex]Percentage\ decrease = \frac{decrease}{Original\ price} *100\\[/tex]

And the decrease is calculated as:

[tex]Decrease = Original\ price - Reduced\ price[/tex]

So,

[tex]Decrease = 45-32.50 = 12.5[/tex]

Putting the values in the formula for percent decrease

[tex]Percent\ decrease = \frac{12.50}{45} *100\\=0.2777..*100\\= 27.77..[/tex]

Rounding off to nearest hundredth: 27.78%

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The percent decrease in the price of shirt is 27.78%

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Answers

15cm = 6 hours

45cm = 18 hours

Answer : 18 hours
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15/45 = 3 , 6 • 3 = 18 hours

the simple interest on a certain sum of money for 2(1/2) years at 12% per annum is Rs.40




Answers

Step-by-step explanation:

[tex] si = p \times \frac{r}{100} \times t[/tex]

[tex]si = 40 \times \frac{12}{100} \times \frac{5}{2}[/tex]

[tex]si = \frac{40 \times 12 \times 5}{100 \times 2} [/tex]

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[tex]si = \frac{4 \times 12 }{5\times 2} [/tex]

[tex]si = \frac{2 \times 12}{5} [/tex]

[tex]si = \frac{24}{5} [/tex]

[tex]si = 4.8[/tex]

The closing amount of the Dow Jones Industrial Average on the stock market for four days is shown in the table below.

Date
Closing amount (in points)
01/27
13,895.98
01/28
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01/29
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01/30
13,860.42

Which best represents the greatest amount of change that took place from one day to the next day over the four-day period?
a loss of 93.98 points
a loss of 72.47 points
a gain of 72.47 points
a gain of 93.98 points

Answers

Answer:

The first option

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

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