which of the following correctly gives the center and radius of the circle defined by the equation (z-7)^2 = 10?

Answer:

Final amount after 11 years = $4021.97

Step-by-step explanation:

We will use the formula to get the final amount after t years,

Final amount = [tex]a(1+\frac{r}{n})^{nt}[/tex]

here a = Initial amount

r = Rate of interest

n = Number of compounding in a year

For Initial amount 'a' = $1500

r = 9%

t = 11 years

n = 12 [Compounded monthly]

F = [tex]1500(1+\frac{9}{12})^{12\times 11}[/tex]

  = $4021.97

Answer:

You need to divide by the cost of children and adults by their per cost to total

Answer:

x*8 + y*14 ≥ 20

Step-by-step explanation:

We know that:

A batch of brownies makes 8 servings.

A pie makes 14 servings.

He wants to make, at least, 20 servings.

Then if he makes x batches of brownies, he will get x times 8 servings.

If he makes y pies, he will get y times 14 servings.

Adding that, he will get a total of:

x*8 + y*14 servings

And because he wants to make at least 20 servings (he can make 20 or more)

The inequality will be:

x*8 + y*14 ≥ 20

Where the "≥" symbol means that the expression at the left is greater than or equal to the expression of the right

Answer:

it is 8.65

Step-by-step explanation:

it just is but if it is wrong sorry been a while since i done this

Answer:

x=1.5

Step-by-step explanation:

Answer:

six out of the fifteen are apples

A = 10 months

B = First part, the two equations:

Ian: y = 1000 - 60x, where x is the number of months and y is the remaining balance owed.

Ken: y = 600 - 20x.

They will be equal at 1000 - 60x = 600 - 20x

Second part: Solve the equation. Note, if you're equation is incorrect, solve it anyway because you will still get some credit!

1000 - 60x = 600 - 20x

1000 = 600 + 40x

400 = 40x

x = 10 months

y = 600 - 20(10) = 600 - 200 = $400 still owed.

C =

Solve Ian's equation for y = 0, when no money is owed.

1000 - 60x = 0

1000 = 60x

x = 16.66666.... or 17 months.

Ian will not be paid off 6 months after he and Ken owe the same amount. He will still owe money.

Alternatively, six months after 10 is 16 months,

and y = 1000 - 60(16) = 1000 - 960 = 40. He will still owe $40 at 16 months, so he is not paid off.

Answer:

Step-by-step explanation:

If rounded up,

Answer:

10x-13

Step-by-step explanation:

First Distribute:

-18x-21+28x+8

Then combine like terms:

10x-13

Answer:

yes because Canada is american country

Answer:

I think it’s -5

Answer:

a. 40 ft²

b. 21 ft²

c. 61 ft²

Step-by-step explanation:

Rectangle area formula: l * w

Triangle area formula: 1/2(bh)

10 * 4

40 ft² for the rectangle

1/2(7 * 6)

1/2(42)

21 ft² for the triangle

40 + 21

61 ft² in total (both the rectangle & the triangle)

Answer:

13

Step-by-step explanation:

To solve the problem, you have to do A squared + B squared = C squared. So for your A and B it doesn't matter what order you put them in. We will do 12 sqaured + 5 squared = C squared. 12 squared is 144 and 5 squared is 25. By adding 144 and 25 together, it gives us 169. When we take the square root of 169, we get 13. 13 is the length of the hypotenuse.

Answer:

25π

Step-by-step explanation:

i hope u hav a gud day ^_^

Answer:

area = 73.37 cm²

Step-by-step explanation:

area of circle:

A = π5² = 78.5 cm²

area of 80° segment:

(80/360)(78.5) = 17.44 cm²

area of isosceles triangle w/ 5 cm legs and 80° angle:

sin 40° = b/5

0.6428 = b/5

b = 3.214

base = 2(3.21) = 6.43   (we only figured for one-half of the base)

cos 40° = h/5

0.7660 = h/5

height = 3.83

A = 1/2(6.43)(3.83) = 12.31 cm²

area of unshaded part:

17.44 - 12.31 = 5.13 cm²

area of total shaded part:

78.5 - 5.13 = 73.37 cm²

Answer:

2.0

Step-by-step explanation:

Answer:

6x - 7 = 2x + 13

6x - 2x = 13 + 7

4x = 20

x = 20/4

x = 5

Hope it helps!

Answer:

i see how you feel but ._. i just aint good at math shawty

Step-by-step explanation:

Answer:

r=2.5mm

Step-by-step explanation:

Using the formula

[tex]\huge\underline{ \sf \: Formulae \: to \: remember \: for \: solving \: the \: question:}[/tex]

[tex] \\{ \sf radius \: of \: a \: circle = \frac{d}{2} where \: d \: is \: the \: diameter \: of \: the \: circle}[/tex]

[tex]\huge\underline{\sf Given:}[/tex]

[tex] \ \: { \sf The \: diameter \: of \: a \: circle \: is \: 5 mm.}[/tex]

[tex]\huge\underline{\sf To \: find \: out:}[/tex]

[tex] \ { \sf Radius \: of \: the \: circle}[/tex]

[tex]\huge\underline{\sf Solution:}[/tex]

[tex] \\{ \sf The \: diameter \: of \: the \: circle \: is \: 5 \: mm.}[/tex]

[tex] \\{ \sf Therefore \: radius \: of \: the \: circle}[/tex]

[tex]\\{ \sf = \frac{5}{2} \: mm} [/tex]

[tex] \\{ \sf = 2.5 \: mm}[/tex]

[tex]\huge\underline{\sf Answer:}[/tex]

[tex]\\{\sf The \: radius \: of \: the \: circle \: is \: 2.5 \: mm.}[/tex]

Answer:

41.25

Step-by-step explanation:

0.70 + 1 (40.55) = 41.25

Answer:

54

Step-by-step explanation:

80 Customers divide that by 2 =40

36÷2= 18

So if 120 Customers were to order then you would just add 18 to 36 and that would make it 54.

Basically just find how many clubs are bought in 40 customers then multiple it by 3

Answer:

Step-by-step explanation:

Answer:

2x-y=11 is the standard form

Step-by-step explanation:

Answer:

3) never

Step-by-step explanation:

Because if both lines are the same then they will have infinite solutions in common.

Answer:

3- Never

Step-by-step explanation:

Answer:

B. A piece of copy paper.

Answer:

diameter = 36 in.

Step-by-step explanation:

V = 4π r^3/3

24416.64 = (4(3.14) r^3)/3

73249.92 = 12.56 r^3

r^3 = 5832

r = cube root of 5832 = 18

diameter = 36 in.

Answer:

6·10^26

Step-by-step explanation:

Multiply together the coefficients 3 and 2, obtaining 6.  We must also multiply together the powers of 10; we do this by ADDING the exponents 9 and 17, to get the final answer

6·10^26

Answer:

6•10^26 is the answer.

Answer:

hi

Step-by-step explanation:

x⁰+(x+90)⁰+(x-18)⁰=180⁰

3x+72=180

3x=180-72

3x=108

x=36

Q is equal to x+90=36+90=126

For cheking answer:

R is 36

Q is 126

P is 18

36⁰+126⁰+18⁰=180⁰

hope it helps

have a nice day

Answer:

[tex]x=96[/tex]

Step-by-step explanation:

[tex]360=x+\left(x+90\right)+\left(x-18\right)[/tex]

Step 1: Simplify both sides of the equation.

[tex]360=x+x+90+x-18[/tex]

[tex]360=(x+x+x)+(90+-18)[/tex] (Combine Like Terms)

[tex]360=3x+72[/tex]

Step 2: Flip the equation.

[tex]3x+72=360[/tex]

Step 3: Subtract 72 from both sides.

[tex]3x+72-72=360-72[/tex]

[tex]3x=288[/tex]

Step 4: Divide both sides by 3.

[tex]\frac{3x}{3}=\frac{28}{3}[/tex]

[tex]x=96[/tex]

Hope this helped! :)

(2, -3) is the answer