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2 years ago

Determine the equation of a circle with center at (8, 10) and radius 6.

Mathematics

1 answer:

andreev551 [17]2 years ago

8 0

Answer:

Step-by-step explanation:

general equation for a circle at the origin is

x² + y² = r²

if the circle center is (x₀, y₀), the formula is

(x - x₀)² + (y - y₀)² = r²

(x - 8)² + (y - 10)² = 36

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netineya [11]

I think its not a correct solution of given equations.

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3 years ago

A group of friends wants to go to the amusement park. they have no more than $405 to spend on parking and admission. parking is

lakkis [162]

$20+38.50x \leq 405$

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1 year ago

Find the amount and present value of 10 quarterly payments of $ 1500, if the interest rate is 25% compounded each month.

BlackZzzverrR [31]

Given Information:

Monthly payment = MP = $1500/4 = $375

Monthly interest rate = r = 25/12 = 2.083%

Required Information:

Present Value = ?

Answer:

$PV = \$10,110$

Explanation:

n = 10*4

n = 40 monthly payments

The present value is found by

$PV = MP \times \frac{ (1 - \frac{1}{(1+r)^n} )}{r}$

Where r is monthly interest rate.

MP is the monthly payment.

$PV = 375 \times \frac{ (1 - \frac{1}{(1+0.02083)^{40}} )}{0.02083}$

$PV = 375 \times (26.96)$

$PV = \$10,110$

Therefore, $10,110 is the present value of 10 quarterly payments of $1500 each at 25% interest rate compounded each month.

7 0

3 years ago

Help me solve this please .

lord [1]

x = 59

3x - 33 = 2x + 26

-2x -2x

1x - 33 = 26

+33 +33

1x = 59

----- -----

1 1

x = 59

4 0

3 years ago

Helllppppp can’t find the answer!!!

alukav5142 [94]

Slope of a line can be determined using this formula
m = (y₂ - y₁) / (x₂ - x₁)

From the question, we know that
(x₁,y₁) = (2,-3)
(x₂,y₂) = (2,9)

plug the numbers into the formula
m = (y₂ - y₁) / (x₂ - x₁)
m = (9 - (-3)) / (2 - 2)
m = (9 + 3) / (2 - 2)
m = 12/0
m = undefined
The pairs must form a vertical line

8 0

3 years ago