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skad [1K]
3 years ago
7

Whats the solution ​

Mathematics
1 answer:
Sergio039 [100]3 years ago
5 0

Answer:

Step-by-step explanation:

To find the center and the radius, we need to put the equation in the (x-a)^2+(y-b)^2=r^2 [a is the x-coordinate, b is the y-coordinate, and r is the radius].

(x+6)^2+(y+7)^2 - 36 - 49 + 69 = 0

(x+6)^2+(y+7)^2 - 16 = 0

(x+6)^2+(y+7)^2 = 16

(x+6)^2+(y+7)^2 = 4^2

The center is (-6,-7) and the radius is 4.

Hope this helps!

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Select the correct answer.
iris [78.8K]

The future value of $1,000 invested at 8% compounded semiannually for five years is \bold{\$ 1,480}

<u>Solution:</u>

\bold{A = P (1 + i )^{n}} ----------- equation 1

A = future value  

P= principal amount  

i = interest rate

n = number of times money is compounded  

P = 1000

i = 8 %

\mathrm{n} = \text { compounding period } \times \text {number of years}

(Compounding period for semi annually = 2)

\mathrm{n} = \text { compounding period } \times \text {number of years}

Dividing “i” by compounding period

i = \frac{8 \%}{2} = 0.04

Solving for future value using equation 1

\begin{array}{l}{A = 1000(1 + 0.04)^{10}} \\\\ {=1000 (1.04)^{10}}\end{array}

= 1480.2

\approx 1,480 \$

3 0
3 years ago
The paragraph below comes from the rental agreement Susan signed when she opened her account at Super Video.
BARSIC [14]

Answer:

option B

Step-by-step explanation:

Given:

per day late costs= 1.50

Purchase price= 9.99

A round trip cab ride to the video store will cost = 10

5 day late cost= 5(1.50)

                       = 7.50

Payment after 5 day late= 5 day late cost + Purchase price

                                       = 7.50 + 9.99

                                       = 17.49

If she gets a cab, then total payment= 10 + 7.50

                                                             = 17.50

Hence both costs almost the same, option B is true

b.

It would cost about the same to keep or return the movie. Susan should keep it!

3 0
3 years ago
24. Find the area of the shaded region:
Monica [59]

Answer:

A = 5x³ + 17x² - 35x - 30

Step-by-step explanation:

the shaded area (A) is calculated as

A = outer area - inner area

   = (5x + 3)(x² + 4x - 10) - 3x(2x - 1) ← distribute parenthesis

   = 5x³ + 20x² - 50x + 3x² + 12x - 30 - (6x² - 3x)

  = 5x³ + 23x² - 38x - 30 - 6x² + 3x ← collect like terms

  = 5x³ + 17x² - 35x - 30

7 0
2 years ago
Read 2 more answers
Please help me this is due today
Evgen [1.6K]
Split the room into 2 rectangles 
area =  5*4 + 3*3  = 29 sq ft

So the cost is 29*8 =  $232
6 0
3 years ago
I think of a number. If I divide the sum of 6 and the number by 3,the result is 4 more than one quarter of the number. Find the
Alex17521 [72]

Answer:

24

Step-by-step explanation:

Let the number be x.

Sum of the number and 6: 6+x

Divide it by 3: \frac{6+x}{3}

Result is 4 more than one quarter of the number:

\frac{6+x}{3} =4+\frac{1}{4} x

Multiply both sides by 12:

\frac{6+x}{3}\cdot \:12=4\cdot \:12+\frac{1}{4}x\cdot \:12

Simplify:

4\left(x+6\right)=48+3x

Expand:

4x+24=48+3x

Subtract 24 from both sides:

4x+24-24=48+3x-24

4x=3x+24

Subtract 3x from both sides:

4x-3x=3x+24-3x

x=24

The number is 24.

7 0
3 years ago
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