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Vesnalui [34]
3 years ago
9

David is paid a salary of $1850 per month. He is also paid time and a half for work in excess of 40 hours a week. He worked 62 h

ours last week. What is his gross pay?
Mathematics
1 answer:
kherson [118]3 years ago
6 0

Answer:

$1,471.5625

Step-by-step explanation:

Monthly salary = $1850

Weekly salary = $1850/4 weeks

= $462.5

Hourly rate = $462.5/40 hours

= $11.5625

Overwork time = 62 hours - 40 hours

= 22 hours

Time and a half = 1.5 times the normal salary

Overwork time payment per hour = 1.5 × $11.5625

= $17.34375

Overwork time payment for 22 hours = 22 × $17.34375

= $381.5625

Last week salary = weekly salary + overtime payment

= $462.5 + $381.5625

= $84.0625

Gross salary for the month = 3 weeks regular salary + last week salary

= (3 × $462.5) + $84.0625

= $1387.5 + $84.0625

= $1,471.5625

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Reptile [31]

This question is solved using the concept of balance, and doing this, we get that:

The balance in her account will be of -$200.

Balance:

The balance of a credit card is given by the sum of all the earnings subtracted by all the spending.

Tamara:

Initial balance: $0

Purchases: $200

Earnings: $0

Subtracting earnings by purchases:

0 - 200 = -$200

The balance in her account will be of -$200.

A similar question is given at brainly.com/question/13280700

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3 years ago
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san4es73 [151]

Answer:

I am pretty sure it is  b

Step-by-step explanation:

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3 years ago
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A circle has a diameter of 25cm. How far from the centre of this circle is a chord 16cm long? Draw a picture before you start.
yan [13]

Answer:

The cord is 9.6 cm away from the centre of the circle.

Step-by-step explanation:

<u>See The Image First</u>

The image below shows a picture of everything that’s given, labeled, and drawn in the circle.

<u>Description of the Picture:</u>

You can use the Pythagorean to find the what the distance (the length <em>b</em>) the cord is from the center. You can use the radius as the hypotenuse. The radius is half of the diameter, and the diameter is 25. So the radius is 12.5, which means that 12.5 is the hypotenuse of the triangle (also known as side <em>c</em>). The whole length of the cord is 16cm long, and we can use half of the cord, which is 8cm, for the triangle. So we know two sides already: the hypotenuse (the radius) and the length <em>a</em> of the triangle (half of the length of the cord).

<u>To Solve (variables </u><em><u>a</u></em><u>, </u><em><u>b</u></em><u>, and</u><em><u> c</u></em><u>, are in italics so you don’t get confused):</u>

⇒ Use the formula of the Pythagorean Theorem (a^{2}+b^{2}=c^{2}), where <em>b </em>is the length of the distance from the cord to the centre of the circle (what we need to find out), <em>a </em>is the length of the side of the triangle (half of the cord size – 8cm), and <em>c </em>is the hypotenuse (the radius – 12.5cm). So plug the given values of <em>b</em> and <em>c</em> into the formula:

a^{2}+8^{2}=12.5^{2}

⇒ Solve for <em>a </em>by simplify:

a^{2}+64=156.25

⇒ Subtract 64 from both sides:

a^{2}=92.25

⇒ Find the square root of both sides to get<em> a</em> by itself:

\sqrt{a^{2}}=\sqrt{92.25}

⇒ Simplify to get:

a=\sqrt{92.25}  which convert’s to a=9.60468635...  round the answer to the nearest tenth is a=9.6

<u />

<u>Answer:</u> The cord is 9.6 cm away from the centre of the circle.

I hope you understand and that this helps with your question! :)

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leva [86]

Answer:

NO

Step-by-step explanation:

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fg\neqbd

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