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3 years ago

If m∠NOP = 24° and m∠NOQ = 110°, what is m∠POQ?

Mathematics

1 answer:

monitta3 years ago

3 0

Correct answer for the above question is - option B. 86°

<u>Step-by-step explanation:</u>

Given:

∠NOP = 24°

∠NOQ = 110°

∠NOP and ∠POQ are adjacent angles

To Find:

∠POQ = ?

Solution:

Hereby, we can say that ∠POQ lies between line OQ and ON as given (∠NOP and ∠POQ are adjacent angles )

∠NOQ - ∠NOP = ∠POQ

∠POQ = 110° - 24°

Angle POQ is 86°

Thus we can conclude option B as correct answer.

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April took out a $600 loan from the bank.At the end of 5 years, she pays back the principle,plus $60 simple interest.What was th

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Answer:

April took out a loan of $600 and paid it back with simple interest of $60 after 5 years. The formula to calculate interest is given the principal and the time and the interest rate is . For this problem we have to find the interest rate given . To archive that , we can just solve the equation making the interest rate the subject of the formula as shown below,

I= Prt

=> r= I/Pt

=> r= 60/600x5 = 1/50

The interest rate is 1/50 or 0.02 as a decimal. The interest rate is 2% as a percentage.

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3 years ago

What is 3/16 of 200 written as a percentage

Georgia [21]

The expression 3/16 of 200 expression as a percentage is; 6.25%.

<h3>What is the value of 3/16 of 200 written as a percentage?</h3>

The value of the expression given in the task content can be evaluated as follows;

3/16 × 200 = 12.5

Hence, the value 12.5 expressed as a percentage of 200 is;

(12.5/200) × 100%.

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2 years ago

Solve and graph the absolute value inequality: |2x + 4| > 14.

katrin2010 [14]

Hi Malik.
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3 years ago

Easy Slider Inc. sold a 15-year $1,000 face value bond with a 10% coupon rate. Interest is paid annually. After flotation costs,

Softa [21]

Answer:

6.6%

Step-by-step explanation:

We find the cost of the bond. Yield to maturity is the yield for bond holder but cost for the issuer like Easy Slider.

Formula is

P=CP(1-(1+x)^-n)/x + FV/(1+x)^n

where P is the price of bond in the market. So, the selling price of Easy Slider Inc bond is 928

CP= coupon payment. Here, CP is 10% of 1000. So, $100

FV= Face value. Here, FV is $1000

n= maturity of the bond. Here, n=15

x= cost of the bond before tax

putting the value in the equation

928=100(1-(1+x)^-15)/x + 1000/(1+x)^15

solving for x, we get 0.1100

Now, if we find out after tax then

0.1100(1-T)= After tax cost

0.1100(1-0.4)

0.066 or 6.66%

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3 years ago

A car repair center services 920 cars in 2012. The number of cars serviced increases quarterly at a rate of 12% per year after 2

zloy xaker [14]

Answer:

920*1.12^t

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Every year, we see that it goes up 12%.

12% in decimal form is 0.12.

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So in total, at the beginning of a new year, the number of cars is 0.12x+x = 1.12x.

In this case, we have 920 cars. So if every year the number of cars is multiplied by 1.12, then in "t" years we will have 920*(1.12)^t. We multiply by 920 because that's the current number of cars, and we add the ^t because we multiply by 1.12 every year.

You are very welcome!

8 0

3 years ago

Read 2 more answers