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3 years ago

In circle P with m NPQ = 46 and NP=20 units find area of sector NPQ.

Mathematics

2 answers:

liraira [26]3 years ago

8 0

Answer:

160.57

Step-by-step explanation:

The formula is:

$angle/360 *\pi *radius^2$

Because you find the total area of the circle, but the sector only represents NPQ/360 so you have to multiply the area with that.

$46/360 * \pi *20^2$ = $23/180 * \pi *400$

= $160.57029...$

Rounded to the nearest hundredth this would be 160.57

antoniya [11.8K]3 years ago

6 0

Answer:

Round to the nearest hundredth.

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691/1000 is already in its simplest form, for 691 is a prime number and it cannot be reduced by any number other than 1 and 691. (and 1000 is not divisible by 691 also)

691/1000 in its simplest form is 691/100~

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The circumference of a circle is 69.08 meters. What is the circle's radius? Use 3.14 for .

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Circumference = 2πr

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Which statement about graphs and their inverse is true?

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Oh, boy! Look at that monthly payment from Question 2 above! Molly cannot afford the monthly payment using the 0% financing. She

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The car payment plan that has an APR of 1.9% is, on the short term, pocket

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The correct responses are;

First part: The amount of loan Molly needs is $22,495

Second part: Molly's monthly payment will be approximately $286.2

Third part: The total interest Molly will pay using the plan is approximately $1,545.8

Fourth part: The amount the car costs Molly using the plan is approximately $26,540.8

Reasons:

The question parameters are;

Molly is comparing Auto Loans on Jeep website

Selling price of the Jeep, P = $25,495

The down payment Molly has = $2,500

The Cash Allowance = $500

Number of months of payment, n = 84 months

The Annual Percentage Rate, APR, r = 1.9%

First Part:

Loan needed = $25,495 - $2,500 - $500 = $22,495

The amount of loan Molly needs = $22,495

Second Part:

The monthly payment is given by the formula;

$\displaystyle M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}}$

Therefore;

$\displaystyle M = \dfrac{22,495 \times \left(\dfrac{0.019}{12} \right) \times \left(1+\dfrac{0.019}{12} \right)^{84} }{\left(1+\dfrac{0.019}{12} \right)^{84} - 1} \approx \mathbf{286.2}$

Molly's monthly payment will be M ≈ $286.2

Third part:

The total interest, I = Sum of payment - Loan amount

∴ The total interest, I ≈ $286.2/month × 84 month - $22,495 ≈ $1,545.8

The total interest Molly will pay using the loan, I ≈ $1,545.8

Fourth part:

The cost of the car, C, using the 1.9% APR financing plan is the sum of the down payment plus sum of the loan repayment

Therefore;

C ≈ $2,500 + $286.2/month × 84 months = $26,540.8

The cost of the car using the 1.9% APR financing plan, C ≈ $26,540.8

The question parameters obtained from a similar question are;

Selling price of the car = $25,495

Financing = 1.9% APR for 84 months with a cash allowance of $500

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