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3 years ago

If the radius of a circle is 15 units and the center

Mathematics

1 answer:

fgiga [73]3 years ago

7 0

Answer:

(x+3)^2 + (y-2) ^2 = 225

Step-by-step explanation:

We can write the equation of a circle in the form

(x-h)^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x- -3)^2 + (y-2) ^2 = 15^2

(x+3)^2 + (y-2) ^2 = 225

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Find a recurrence relation for the amount of money in a savings account after n years if the interest rate is 6 percent and $50

Korvikt [17]

Answer:

$a_n = a_{n-1} (1.06) + 50$

Step-by-step explanation:

Suppose, $a_0$ is initial amount in the saving account,

Here, the annual interest rate is 6% and additional amount in each year is $ 50,

So, the amount after one year,

$a_1 = a_0 + 6\%\text{ of }a_0 + 50 = a_0 + 0.06a_0 + 50 = a_0(1.06) + 50$

Amount after 2 years,

$a_2 = a_1 + 6\%\text{ of }a_1 + 50 = a_1(1.06) + 50$

Amount after 3 years,

$a_3 = a_2 + 6\%\text{ of }a_2 + 50 = a_2(1.06) + 50$

................................., so on....

Hence, by following the pattern,

The amount after n years,

$a_n = a_{n-1} (1.06) + 50$

Which is the required recurrence relation for the amount of money in a savings account

3 0

4 years ago

Evaluate a2b2c2 for a = 2, b = 3, and c = 4.

olchik [2.2K]

2(2)2(3)2(4)=192 because you're multiplying everything together in order to find your answer and also because the variables which are the letters represent the numbers that need to be multiplied idk if that made sense but that's the answer lol

6 0

4 years ago

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Let W be part of the solid sphere of radius 4, centered at the origin, that lies above the plane z = 2. Set up an integral in cy

andriy [413]

Answer:

V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π

Step-by-step explanation:

Since we have the radius of the sphere R = 4, we have R² = r² + z² where r = radius of cylinder in z-plane and z = height² of cylinder.

So, r = √(R² - z²)

r = √(4² - z²)

r = √(16 - z²)

Since the region is above the plane z = 2, we integrate z from z = 2 to z = R = 4

Our volume integral in cylindrical coordinates is thus

V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π

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3 years ago

-3 (3c + 5) = 2 (10 - c)

Ilya [14]

Answer:-5

Step-by-step explanation:

You need to distribute on both sides so u get

9c-15=20-2c

Move variable to left side and change the sign

-9c+2c-15=20

Move constant to right side and change the sign

-9c+2c=20+15

Connect like terms

-7c=35

Divide

C=-5

5 0

3 years ago

65% convert to a fraction

I am Lyosha [343]

Answer:

$\frac{13}{20}$

Step-by-step explanation:

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3 years ago

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